S Algebraic equations such as Bernoulli's relation, Eq. (1)of Ex. 1.3, are dimensionally consistent, but what aboutdifferential equations? Consider, for example, the bound-ary-layer x-momentum equation, first derived by LudwigPrandtl in 1904:диpu-dupv-ду+ pgx +axдуwhere 7 is the boundary-layer shear stress and g, is thecomponent of gravity in the x direction. Is this equationdimensionally consistent? Can you draw a general con-cusion?

The x-momentum boundary layer equation derived by Ludwig Prandtl is given as,…

Algebraic equations such as Bernoulli's relation, Eq. (1) of Ex. 1.3, are dimensionally consistent, but what about differential equations? Consider, for example, the bound- ary-layer x-momentum equation, first derived by Ludwig Prandtl in 1904: du - _ap + pv- ду du pu- P8x ax ду where 7 is the boundary-layer shear stress and g, is the component of gravity in the x direction. Is this equation dimensionally consistent? Can you draw a general con- dusion?

Algebraic equations such as Bernoulli's relation, Eq. (1) of Ex. 1.3, are dimensionally consistent, but what about differential equations? Consider, for example, the bound- ary-layer x-momentum equation, first derived by Ludwig Prandtl in 1904: du - _ap + pv- ду du pu- P8x ax ду where 7 is the boundary-layer shear stress and g, is the component of gravity in the x direction. Is this equation dimensionally consistent? Can you draw a general con- dusion?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.30P: Air at 1000C flows at an inlet velocity of 2 m/s between two parallel flat plates spaced 1 cm apart....

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