Question 29 / 40:  Consider steam flowing at 100 ft3/min in a 4 inch diameter pipe. The inlet temperature of the steam is 400 F. The inlet pressure of the steam to the pipe is 50 psia. The pipe is well insulated. The surface roughness of the pipe given by e/D = 0.01. Which of the following most closely represents the pressure drop of the steam over a 40 m section of the pipe?
A  40 psi
B  0.4 atm
C  400 Pa
D  4 Pa
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Explanation:

The first job here is to determine the properties of steam at the conditions specified. A convenient reference for this task may be found at http://www.spiraxsarco.com/esc/SH_Properties.aspx, from which m = 1.6 x 10- Pa s, ρ = 1.59 kg/m3. We then need to calculate velocity and pipe dimensions in a consistent system of units. Consideration of continuity yields v = 5.82 m/s. D = 0.102 m. L = 40 m. From these data we find Re= 5.8 x 10 4. For e/d = 0.01, f = 3.9 (read from a Moody plot). The pressure drop is then found from Δp = (L/D) f ½ρ v2= 0.4 atm. Note that since the pressure drop will influence the fluid density and viscosity, a more accurate estimate might be obtained by an iterative solution using average properties over the pipe length or by integrating over short sections of pipe.

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Fluid Mechanics ME201

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Attribution:  Stephanie Redfern and Tuan Dinh. Fluid Mechanics. The Saylor Academy 2014, http://www.saylor.org/courses/me201/
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