A laminar boundary layer is observed to grow on a flat plate such that the pressure is constant everywhere. If the boundary layer velocity profile is given by: where u is the velocity at a distance y from the surface, δ is the boundary layer thickness and Ue is the freestream velocity. (a) Show that θ/δ = 0.139, where θ is the momentum thickness. (b) Find the viscous stress on the plate in terms of the viscosity, the boundary layer thickness, and the freestream velocity.
A laminar boundary layer is observed to grow on a flat plate such that the pressure is constant everywhere. If the boundary layer velocity profile is given by: where u is the velocity at a distance y from the surface, δ is the boundary layer thickness and Ue is the freestream velocity. (a) Show that θ/δ = 0.139, where θ is the momentum thickness. (b) Find the viscous stress on the plate in terms of the viscosity, the boundary layer thickness, and the freestream velocity.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A laminar boundary layer is observed to grow on a flat plate such that the pressure is constant everywhere. If the boundary layer velocity profile is given by:
where u is the velocity at a distance y from the surface, δ is the boundary layer thickness and Ue is the freestream velocity.
(a) Show that θ/δ = 0.139, where θ is the momentum thickness.
(b) Find the viscous stress on the plate in terms of the viscosity, the boundary layer thickness, and the freestream velocity.
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