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: 1.10

Answer

(a) is not dimensionless (b) is dimensionless (c) is not dimensionless (d) is not dimensionless

Work Step by Step

(a) $ V \times L \times \nu = L T^{-1} \times L \times L^{2} T^{-1} $ = $ L^{4} T^{-2} $ (b) $\frac{V L}{\nu } = \frac{L T^{-1} L}{L^{2} T^{-1}} $ = $L^{0} T^{0}$ where any unit of zero is equal to 1 (c) $ V^{2} \times \nu = L^{2} T^{-2} \times L^{2} T^{-1}$ =$ L^{4} T^{-3}$ (d) $ \frac{V}{L\nu} =\frac{L T^{-1}}{L L^{2}T^{-1}}= L^{-2} $
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