• Card 17 / 35: A fluid of density 0.78 g/cm3 and viscosity 2.2 cP flows through a 5 inch ID pipe with surface roughness e/D = 0.005 at a flow rate of 500 kg/min. The pipe is 100 m long. What is the pressure drop over the pipe?
    A) 7.5 Pa
    B) 7.5 kPa
    C) 750 kPa
    D) 750 kPa
    E) 75 Pa

    Answer:
    B) 7.5 kPa

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Explanation:

First, calculate v = 500 kg/min x 1 min/60 s x 1 m3/780 kg x (1/.025x2.54)2 x 1/3.14 =0.84 m/s. Re = 780 x 0.84 x 0.05 x 2.54/ 0.0022 = 38,000. Now refer to a Moody plot, such as the one on the Roymech resource on "Fluid Flow in Pipes" in Unit 4, to obtain f = 0.034 for that plot. We can then calculate directly the head of that fluid or the pressure from the definition of f. In this case, we just take ΔP = (100m/(0.05x2.54m)) x (0.84 m/s)2/2 x 0.034 x 780 kg /m3= 7.4 kPa. Turbulent flow does not necessarily imply a large pressure drop.

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Thermal-Fluid Systems ME303

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Attribution:  Dr. Steve Gibbs. Thermal-Fluid Systems. The Saylor Academy 2014, http://www.saylor.org/courses/me303/
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