Assuming that the velocity profile in a laminar boundary layer of thickness δ is given by where u is the velocity at distance y from the surface and Ue is the freestream velocity (as shown in Figure P9.23), demonstrate that where θ is the momentum thickness, τw is the viscous stress at the wall, Cf is the local skin friction coefficient at a distance x from the leading edge of the plate, ρ is the density and ν is the kinematic viscosity.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.26P
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Assuming that the velocity profile in a laminar boundary layer of thickness δ is given by

where u is the velocity at distance y from the surface and Ue is the freestream velocity (as shown in Figure P9.23), demonstrate that

where θ is the momentum thickness, τw is the viscous stress at the wall, Cf is the local skin friction coefficient at a distance x from the leading edge of the plate, ρ is the density and ν is the kinematic viscosity.

 

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