8th Edition

ISBN: 9780073398273

Author: Frank M. White

Publisher: McGraw-Hill Education

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Textbook Question

Chapter 1, Problem 1.16P

Algebraic equations such as Bernoulli's relation, Bq. (1) of Example 1.3, are dimensionally consistent, but what about differential equations? Consider, for example, the boundary-layer x-momentum equation, first derived by Ludwig Prandtl in 1904:

ρ u ∂ u ∂ x + ρ v ∂ u ∂ y = − ∂ p ∂ x + ρ g x + ∂ τ ∂ y

where t is the boundary-layer shear stress and g_x is the component of gravity in the x direction. Is this equation dimen-sionally consistent? Can you draw a general conclusion?

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Chapter 1, Problem 1.15P

Chapter 1, Problem 1.17P

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Chapter 1 Solutions

Fluid Mechanics

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