Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version 8th Edition

Published by Wiley
ISBN 10: 1119080703
ISBN 13: 978-1-11908-070-1

Chapter 1 - Problems - Page 31: 1.12

Answer

The constant with it's units, is $0.027 in^{1.22}$

Work Step by Step

Using the English System of Units: $Δp=in$ $d= in$ $L=ft=12 in$ $V=ft/min$ $Vo= ft/min$ $Δp = 0.027 ( \frac{L}{d^{1.22}}) (\frac{V}{Vo})^{1.82}$ $(in)=0.027 ( \frac{ft}{in^{1.22}}) (\frac{ft/min}{ft/min})^{1.82}$ $(in)=0.027 ( \frac{in}{in^{1.22}})\frac{(ft/min)^{1.82}}{(ft/min)^{1.82}}$ $\frac{(in)(in^{1.22})}{(in)}=0.027$ $0.027=in^{1.22}$
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