Algebraic equations such as Bernoullis relation, Eq. (1) of Example 1.3, are

Chapter 1, Problem p1.16

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Algebraic equations such as Bernoullis relation, Eq. (1) of Example 1.3, are dimensionally consistent, but what about differential equations? Consider, for example, the boundary-layer x -momentum equation, fi rst derived by Ludwig Prandtl in 1904: u 0u 0x 1 0u 0y 5 20p 0x 1 gx 1 0 0y where is the boundary-layer shear stress and gx is the component of gravity in the x direction. Is this equation dimensionally consistent? Can you draw a general conclusion?

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