[FLUID MECHANICS] CONSEQUENCES OF FLUID FLOW PROBLEM

CONSEQUENCES OF FLUID FLOW

TOTAL HEAD LOSS PRACTICE PROBLEM

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

CONSEQUENCES OF FLUID FLOW

CONSEQUENCES OF FLUID FLOW

The DARCY-WEISBACH EQUATION can be referenced on Page 106 of the NCEES Supplied Reference Handbook, version 9.4 for Computer Based Testing

CONSEQUENCES OF FLUID FLOW

The DARCY-WEISBACH EQUATION can be referenced on Page 106 of the NCEES Supplied Reference Handbook, version 9.4 for Computer Based Testing

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

SOLUTION: DARCY-WEISBACH EQUATION:

L v2 hf = f D 2g

Exit, C = 1.06

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

SOLUTION: DARCY-WEISBACH EQUATION: HEAD LOSS

L v2 hf = f D 2g

Exit, C = 1.06

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

SOLUTION: FRICTION FACTOR DARCY-WEISBACH EQUATION: HEAD LOSS

L v2 hf = f D 2g

Exit, C = 1.06

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

SOLUTION: FRICTION FACTOR DARCY-WEISBACH EQUATION: HEAD LOSS

L v2 hf = f D 2g

LENGTH OF PIPE RUN

Exit, C = 1.06

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

SOLUTION: FRICTION FACTOR DARCY-WEISBACH EQUATION: HEAD LOSS

L v2 hf = f D 2g

LENGTH OF PIPE RUN VELOCITY

Exit, C = 1.06

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

SOLUTION: FRICTION FACTOR DARCY-WEISBACH EQUATION: HEAD LOSS

L v2 hf = f D 2g

LENGTH OF PIPE RUN VELOCITY

LOCAL GRAVITY

Exit, C = 1.06

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

SOLUTION: FRICTION FACTOR DARCY-WEISBACH EQUATION: HEAD LOSS

L v2 hf = f D 2g DIAMETER OF PIPE LOCAL GRAVITY

LENGTH OF PIPE RUN VELOCITY

Exit, C = 1.06

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

SOLUTION: DARCY-WEISBACH EQUATION:

L v2 hf = f D 2g

GIVEN:

Exit, C = 1.06

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0218 ft2

L v2 hf = f D 2g

Velocity in Pipe: 9.72 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: 1.6 gps

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0218 ft2

L v2 hf = f D 2g

Velocity in Pipe: 9.72 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: 1.6 gps

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: DARCY-WEISBACH EQUATION:

L v2 hf = f D 2g

Pipe Roughness: .00085 ft

CONVERSION FROM gps TO

ft3/s:

Area of Pipe: .0218 ft2

Velocity in Pipe: 9.72 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: 1.6 gps

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: DARCY-WEISBACH EQUATION:

L v2 hf = f D 2g

Pipe Roughness: .00085 ft

CONVERSION FROM gps TO

Gal ⎛ .134 ft 3 ⎞ 1.6 sec ⎜⎝ 1 Gal ⎟⎠

ft3/s:

Area of Pipe: .0218 ft2

Velocity in Pipe: 9.72 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: 1.6 gps

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: DARCY-WEISBACH EQUATION:

L v2 hf = f D 2g

Pipe Roughness: .00085 ft

CONVERSION FROM gps TO

ft3/s:

Gal ⎛ .134 ft 3 ⎞ 3 1.6 = .212 ft /s ⎜ ⎟ sec ⎝ 1 Gal ⎠

Area of Pipe: .0218 ft2

Velocity in Pipe: 9.72 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: DARCY-WEISBACH EQUATION:

L v2 hf = f D 2g

Pipe Roughness: .00085 ft

CONVERSION FROM gps TO

ft3/s:

Gal ⎛ .134 ft 3 ⎞ 3 1.6 = .212 ft /s ⎜ ⎟ sec ⎝ 1 Gal ⎠

Area of Pipe: .0218 ft2

Velocity in Pipe: 9.72 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0218 ft2

L v2 hf = f D 2g

Velocity in Pipe: 9.72 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0218 ft2

L v2 hf = f D 2g

Velocity in Pipe: 9.72 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0218 ft2

L v2 hf = f D 2g

Velocity in Pipe: 9.72 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

CONTINUITY:

Velocity in Pipe: 9.72 ft/s

Q = Av

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

CONTINUITY:

Velocity in Pipe: 9.72 ft/s

Q = Av

Reynolds Number: 115,123

AREA:

πd A= 4

Kinematic Viscosity: 1.41x10-5 ft2/s

Friction Factor: .03

2

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

CONTINUITY:

Velocity in Pipe: 9.72 ft/s

Q = Av

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

AREA:

πd A= 4

Friction Factor: .03

2

π (.167 ft) A= 4

2

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

CONTINUITY:

Velocity in Pipe: 9.72 ft/s

Q = Av

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

AREA:

πd A= 4

Friction Factor: .03

2

π (.167 ft) 2 A= = .0219 ft 4 2

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

CONTINUITY:

Velocity in Pipe: 9.72 ft/s

Q = Av

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

AREA:

πd A= 4

Friction Factor: .03

2

π (.167 ft) 2 A= = .0219 ft 4 2

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

CONTINUITY:

Velocity in Pipe: 9.68 ft/s

Q = Av

.212 ft 3 /s = (.0219 ft 2 )v

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

CONTINUITY:

Velocity in Pipe: 9.68 ft/s

Q = Av

.212 ft 3 /s = (.0219 ft 2 )v

.212 ft 3 /s v= (.0219 m 2 )

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

CONTINUITY:

Velocity in Pipe: 9.68 ft/s

Q = Av

.212 ft 3 /s = (.0219 ft 2 )v

.212 ft 3 /s v= = 9.68 ft/s 2 (.0219 m )

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

CONTINUITY:

Velocity in Pipe: 9.68 ft/s

Q = Av

.212 ft 3 /s = (.0219 ft 2 )v

.212 ft 3 /s v= = 9.68 ft/s 2 (.0219 m )

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW

CONSEQUENCES OF FLUID FLOW

PROPERTIES OF WATER at various temperatures can be referenced on Page 114 of the NCEES Supplied Reference Handbook, version 9.4 for Computer Based Testing

CONSEQUENCES OF FLUID FLOW

PROPERTIES OF WATER at various temperatures can be referenced on Page 114 of the NCEES Supplied Reference Handbook, version 9.4 for Computer Based Testing

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 115,123

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

REYNOLDS NUMBER:

vDρ vD Re = = µ υ

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

REYNOLDS NUMBER:

vDρ vD Re = = µ υ

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

REYNOLDS NUMBER:

vDρ vD (9.68 ft/s)(.167 ft) Re = = = µ υ 1.41x10 -5 ft 2 /s

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

REYNOLDS NUMBER:

Velocity in Pipe: 9.68 ft/s

vDρ vD (9.68 ft/s)(.167 ft) -5 ft2/s

Re = = = = 114,650 Kinematic Viscosity: 1.41x10 µ υ 1.41x10 -5 ft 2 /s Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

REYNOLDS NUMBER:

Velocity in Pipe: 9.68 ft/s

vDρ vD (9.68 ft/s)(.167 ft) -5 ft2/s

Re = = = = 114,650 Kinematic Viscosity: 1.41x10 µ υ 1.41x10 -5 ft 2 /s Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW

The MOODY (STANTON) DIAGRAM can be referenced on Page 115 of the NCEES Supplied Reference Handbook, version 9.4 for Computer Based Testing

CONSEQUENCES OF FLUID FLOW

The MOODY (STANTON) DIAGRAM can be referenced on Page 115 of the NCEES Supplied Reference Handbook, version 9.4 for Computer Based Testing

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

RELATIVE ROUGHNESS:

ε D

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

RELATIVE ROUGHNESS:

ε D

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

RELATIVE ROUGHNESS:

ε .00085 ft = D .167 ft

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

RELATIVE ROUGHNESS:

ε .00085 ft = = .005 D .167 ft

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW

The MOODY (STANTON) DIAGRAM can be referenced on Page 115 of the NCEES Supplied Reference Handbook, version 9.4 for Computer Based Testing

CONSEQUENCES OF FLUID FLOW

The MOODY (STANTON) DIAGRAM can be referenced on Page 115 of the NCEES Supplied Reference Handbook, version 9.4 for Computer Based Testing

CONSEQUENCES OF FLUID FLOW

The MOODY (STANTON) DIAGRAM can be referenced on Page 115 of the NCEES Supplied Reference Handbook, version 9.4 for Computer Based Testing

CONSEQUENCES OF FLUID FLOW

The MOODY (STANTON) DIAGRAM can be referenced on Page 115 of the NCEES Supplied Reference Handbook, version 9.4 for Computer Based Testing

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

L v2 hf = f D 2g

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

2 ⎛ ⎞ L v2 290 ft (9.68 ft/s) ⎛ ⎞ hf = f = .03 2 ⎟ ⎜ ⎝ ⎠ D 2g .167 ft ⎝ 2(32.2 ft/s ) ⎠

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

2 ⎛ ⎞ L v2 290 ft (9.68 ft/s) ⎛ ⎞ hf = f = .03 = 75.6 ft 2 ⎟ ⎜ ⎝ .167 ft ⎠ ⎝ 2(32.2 ft/s ) ⎠ D 2g

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION:

Area of Pipe: .0219 ft2

2 ⎛ ⎞ L v2 290 ft (9.68 ft/s) ⎛ ⎞ hf = f = .03 = 75.6 ft 2 ⎟ ⎜ ⎝ .167 ft ⎠ ⎝ 2(32.2 ft/s ) ⎠ D 2g

Velocity in Pipe: 9.68 ft/s

hf = 75.6 ft

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW

The DARCY-WEISBACH EQUATION can be referenced on Page 106 of the NCEES Supplied Reference Handbook, version 9.4 for Computer Based Testing

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

MINOR LOSSES:

h f , fitting

v2 =C 2g

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

MINOR LOSSES: HEAD LOSS

h f , fitting

v2 =C 2g

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

LOSS COEFFICIENT MINOR LOSSES: HEAD LOSS

h f , fitting

v2 =C 2g

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

LOSS COEFFICIENT MINOR LOSSES: HEAD LOSS VELOCITY 2 v h f , fitting = C 2g

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

LOSS COEFFICIENT MINOR LOSSES: HEAD LOSS VELOCITY 2 v h f , fitting = C 2g LOCAL GRAVITY

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

MINOR LOSSES:

h f , fitting

v2 =C 2g

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

MINOR LOSSES:

h f , fitting

v2 =C 2g

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

MINOR LOSSES:

h f , fitting

Kinematic Viscosity: 1.41x10-5 ft2/s

⎛ (9.86 m/s)2 ⎞ ⎛ (9.86 m/s)2 ⎞ ⎛ (9.86 m/s)2 ⎞ v2 =C = (.5) ⎜ + (.3) ⎜ + (.3) ⎜ 2 ⎟ 2 ⎟ 2 ⎟ 2g 2(32.2 m/s ) 2(32.2 m/s ) 2(32.2 m/s )⎠ ⎝ ⎠ ⎝ ⎠ ⎝ ⎛ (9.86 m/s)2 ⎞ ⎛ (9.86 m/s)2 ⎞ +(.2) ⎜ + (1.06) ⎜ 2 ⎟ ⎝ 2(32.2 m/s ) ⎠ ⎝ 2(32.2 m/s 2 ) ⎟⎠

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

MINOR LOSSES:

h f , fitting

⎛ (9.86 m/s)2 ⎞ v2 =C = (.5 + .3 + .3 + .2 + 1.06) ⎜ 2 ⎟ 2g 2(32.2 m/s )⎠ ⎝

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

MINOR LOSSES:

h f , fitting

⎛ (9.86 m/s)2 ⎞ v2 =C = (.5 + .3 + .3 + .2 + 1.06) ⎜ = 3.56 ft 2 ⎟ 2g ⎝ 2(32.2 m/s ) ⎠

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

MINOR LOSSES: 3.56 ft

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

MINOR LOSSES: 3.56 ft TOTAL HEAD LOSS: 75.6 ft + 3.56 ft

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

MINOR LOSSES: 3.56 ft TOTAL HEAD LOSS: 75.6 ft + 3.56 ft = 79.16 ft

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

GIVEN:

CAST IRON (ε = .00085 ft)

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

DARCY-WEISBACH EQUATION: 75.6 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

MINOR LOSSES: 3.56 ft TOTAL HEAD LOSS: 75.6 ft + 3.56 ft = 79.16 ft

Kinematic Viscosity: 1.41x10-5 ft2/s

hf,total = 79.2 ft

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW

The DARCY-WEISBACH EQUATION can be referenced on Page 106 of the NCEES Supplied Reference Handbook, version 9.4 for Computer Based Testing

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: ENERGY EQUATION:

P1 (v1 )2 P2 (v2 )2 + z1 + = + z2 + + h f + h f , fitting γ 2g γ 2g

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: PRESSURE AT POINT 1 ENERGY EQUATION:

P1 (v1 )2 P2 (v2 )2 + z1 + = + z2 + + h f + h f , fitting γ 2g γ 2g

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: VELOCITY AT POINT 1 PRESSURE AT POINT 1 ENERGY EQUATION:

P1 (v1 )2 P2 (v2 )2 + z1 + = + z2 + + h f + h f , fitting γ 2g γ 2g

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: VELOCITY AT POINT 1 PRESSURE AT POINT 1 ENERGY EQUATION: PRESSURE AT POINT 2

P1 (v1 )2 P2 (v2 )2 + z1 + = + z2 + + h f + h f , fitting γ 2g γ 2g

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: VELOCITY AT POINT 1 PRESSURE AT POINT 1 ENERGY EQUATION: PRESSURE AT POINT 2 VELOCITY AT POINT 2 2 2 P1 (v1 ) P2 (v2 ) + z1 + = + z2 + + h f + h f , fitting γ 2g γ 2g

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: VELOCITY AT POINT 1 PRESSURE AT POINT 1 ENERGY EQUATION: PRESSURE AT POINT 2 VELOCITY AT POINT 2 2 2 P1 (v1 ) P2 (v2 ) + z1 + = + z2 + + h f + h f , fitting MINOR LOSSES γ 2g γ 2g

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

VELOCITY AT POINT 1 PRESSURE AT POINT 1 ENERGY EQUATION: PRESSURE AT POINT 2 VELOCITY AT POINT 2 2 2 P1 (v1 ) P2 (v2 ) + z1 + = + z2 + + h f + h f , fitting MINOR LOSSES γ 2g γ 2g MAJOR LOSSES

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

VELOCITY AT POINT 1 PRESSURE AT POINT 1 ENERGY EQUATION: PRESSURE AT POINT 2 VELOCITY AT POINT 2 2 2 P1 (v1 ) P2 (v2 ) + z1 + = + z2 + + h f + h f , fitting MINOR LOSSES γ 2g γ 2g MAJOR LOSSES ELEVATION AT POINT 2

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

VELOCITY AT POINT 1 PRESSURE AT POINT 1 ENERGY EQUATION: PRESSURE AT POINT 2 VELOCITY AT POINT 2 2 2 P1 (v1 ) P2 (v2 ) + z1 + = + z2 + + h f + h f , fitting MINOR LOSSES γ 2g γ 2g MAJOR LOSSES ELEVATION AT POINT 2 LOCAL GRAVITY

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

VELOCITY AT POINT 1 PRESSURE AT POINT 1 ENERGY EQUATION: PRESSURE AT POINT 2 VELOCITY AT POINT 2 2 2 P1 (v1 ) P2 (v2 ) + z1 + = + z2 + + h f + h f , fitting MINOR LOSSES γ 2g γ 2g MAJOR LOSSES ELEVATION AT POINT 2

ELEVATION AT POINT 1 LOCAL GRAVITY

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

VELOCITY AT POINT 1 PRESSURE AT POINT 1 ENERGY EQUATION: PRESSURE AT POINT 2 VELOCITY AT POINT 2 2 2 P1 (v1 ) P2 (v2 ) + z1 + = + z2 + + h f + h f , fitting MINOR LOSSES γ 2g γ 2g SPECIFIC WEIGHT

MAJOR LOSSES ELEVATION AT POINT 2

ELEVATION AT POINT 1 LOCAL GRAVITY

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: ENERGY EQUATION:

P1 (v1 )2 P2 (v2 )2 + z1 + = + z2 + + h f + h f , fitting γ 2g γ 2g

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: ENERGY EQUATION:

P1 (v1 )2 P2 (v2 )2 + z1 + = + z2 + + h f + h f , fitting γ 2g γ 2g

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: ENERGY EQUATION:

P1 (v1 )2 P2 (v2 )2 + z1 + = + z2 + + h f + h f , fitting γ 2g γ 2g

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: ENERGY EQUATION:

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

z1 = z2 + h f + h f , fitting

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: ENERGY EQUATION:

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

z1 = z2 + h f , total

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: ENERGY EQUATION:

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

h f , total = z1 − z2

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION: ENERGY EQUATION:

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

Velocity in Pipe: 9.68 ft/s

h f , total = z1 − z2 = 92 ft − 13 ft = 79 ft

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW EXAMPLE: Water at 50oF flows from a large reservoir to a small reservoir through a 2 inch in diameter cast iron piping system. If the flow rate is 1.6 gps, the total head loss along the pipe run, including fittings, is most close to: Sharp-Edged Entrance, C = .5

RESERVOIR 1 ELEVATION = 92 ft

CAST IRON (ε = .00085 ft)

GIVEN:

Standard Flanged Elbow, C = .3 Gate Valve, Fully Open, C = .2

30 ft

RESERVOIR 2 ELEVATION = 13 ft

WATER 260 ft

Exit, C = 1.06

Diameter of Pipe: .167 ft

Flow Rate of Fluid: .212 ft3/s

Temperature of Fluid: 50oF

Length of Pipe: 290 ft

SOLUTION:

Pipe Roughness: .00085 ft

Area of Pipe: .0219 ft2

ENERGY EQUATION:

Velocity in Pipe: 9.68 ft/s

h f , total = z1 − z2 = 92 ft − 13 ft = 79 ft

hf,total = 79 ft

Kinematic Viscosity: 1.41x10-5 ft2/s

Reynolds Number: 114,650

Friction Factor: .03

Local Gravity: 32.2 ft/s2

CONSEQUENCES OF FLUID FLOW

CONSEQUENCES OF FLUID FLOW

TOTAL HEAD LOSS PRACTICE PROBLEM