Example Pipe Flow Problems

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    CHAPTER 8. PIPE FLOW EXAMPLE 1CHAPTER 8. PIPE FLOW EXAMPLE 1

    Problem 1. (Laminar flow) Asphalt at 120 F, considered to be a

    Newtonian fluid with a viscosity 80,000 times that of water and aspecific gravity of 1.09, flows through a pipe of diameter 2.0 in. If

    .

    the pipe is (a) horizontal; (b) vertical with flow up.

    e ow s am nar, en e ow can e escr e y

    Poiseuilles LAW (EQ 8.9).

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    Horizontal FLOW

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    ert ca

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    ec um er or am nar

    Use Maximum Flow Rate or HORIZONTAL FLOW

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    CHAPTER 8. PIPE FLOW EXAMPLE 2CHAPTER 8. PIPE FLOW EXAMPLE 2

    Problem 2 (Laminar flow) A fluid flows through two horizontal

    pipes of equal length which are connected together to form a pipeof length 2l. The flow is laminar and fully developed. The

    .

    the second pipe. If the diameter of the first pipe is D, determine

    the diameter of the second pipe.

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    CHAPTER 8. PIPE FLOW EXAMPLE 3CHAPTER 8. PIPE FLOW EXAMPLE 3

    Problem 3. (Moody chart) Water flows in a smooth plastic pipe

    of 200-mm diameter at a rate of 0.10 m3/s. Determine the friction

    actor or t s ow.

    200-mm

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    CHAPTER 8. PIPE FLOW EXAMPLE 4CHAPTER 8. PIPE FLOW EXAMPLE 4

    Problem 4. (Single pipedetermine pressure drop) A fire

    protection association code requires a minimum pressure of 65 psiat the outlet end of a 250-ft-long, 4-in.-diameter hose when the

    .

    the pumper truck that supplies water to the hose? Assume a

    roughness of =0.03 in.

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    CHAPTER 8. PIPE FLOW EXAMPLE 4CHAPTER 8. PIPE FLOW EXAMPLE 4

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    CHAPTER 8. PIPE FLOW EXAMPLE 5CHAPTER 8. PIPE FLOW EXAMPLE 5

    Problem 5. (Single pipedetermine pressure drop) An above

    round swimmin ool of 30 ft diameter and 5 ft de th is to be

    filled form a garden hose (smooth interior) of 100 ft length and5/8 inch diameter (ID). If the pressure at the faucet outlet to

    ,

    to fill the pool? The water exits the hose as a free jet 6 feet above

    the faucet.

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    CHAPTER 8. PIPE FLOW EXAMPLE 5CHAPTER 8. PIPE FLOW EXAMPLE 5

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    CHAPTER 8. PIPE FLOW EXAMPLE 5CHAPTER 8. PIPE FLOW EXAMPLE 5

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    CHAPTER 8. PIPE FLOW EXAMPLE 5CHAPTER 8. PIPE FLOW EXAMPLE 5

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    CHAPTER 8. PIPE FLOW EXAMPLE 6CHAPTER 8. PIPE FLOW EXAMPLE 6

    Problem 6. (Single pipe with pump) The pump shown in the

    figure adds a 15-ft head to the water being pumped when the

    flowrate is 1.5 ft3/s. Determine the friction factor for the pipe.

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    CHAPTER 8. PIPE FLOW EXAMPLE 6CHAPTER 8. PIPE FLOW EXAMPLE 6

    Determine the friction factor (f) for the pipe.

    Assume DOWNWARD FLOWAssume DOWNWARD FLOW

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    CHAPTER 8. PIPE FLOW EXAMPLE 6CHAPTER 8. PIPE FLOW EXAMPLE 6

    Determine the friction factor (f) for the pipe.

    Assume DOWNWARD FLOWAssume DOWNWARD FLOW

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    CHAPTER 8. PIPE FLOW EXAMPLE 6CHAPTER 8. PIPE FLOW EXAMPLE 6

    Determine the friction factor (f) for the pipe.

    hp = 15 ft

    Q = 1.5 ft3/sV

    (2)ssumessume

    .

    SOLVE this one.

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    CHAPTER 8. PIPE FLOW EXAMPLE 7CHAPTER 8. PIPE FLOW EXAMPLE 7

    Problem 7. Water drains from a pressurized tank through a pipe

    . .

    If entrance effects are negligible, determine the flow rate.

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    CHAPTER 8. PIPE FLOW EXAMPLE 7CHAPTER 8. PIPE FLOW EXAMPLE 7

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    CHAPTER 8. PIPE FLOW EXAMPLE 7CHAPTER 8. PIPE FLOW EXAMPLE 7