A Newtonian fluid with absolute viscosity (Greek mu) flows past a flat surface. Due to the no-slip boundary condition, the velocity profile, u(y), develops near the surface and is given by u/U (shown in image provided) where the constant parameters U and delta have dimensions of velocity and length respectively. a) Develop an expression for the shear stress acting in any horizontal plane. b) Determine the shear stress acting on the surface at y = 0 and again at the edge of the boundary layer, y = delta. (Express your answers in terms of Greek mu, the outer velocity U, and the boundary layer thickness delta.)
A Newtonian fluid with absolute viscosity (Greek mu) flows past a flat surface. Due to the no-slip boundary condition, the velocity profile, u(y), develops near the surface and is given by u/U (shown in image provided) where the constant parameters U and delta have dimensions of velocity and length respectively. a) Develop an expression for the shear stress acting in any horizontal plane. b) Determine the shear stress acting on the surface at y = 0 and again at the edge of the boundary layer, y = delta. (Express your answers in terms of Greek mu, the outer velocity U, and the boundary layer thickness delta.)
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 Newtonian fluid with absolute viscosity (Greek mu) flows past a flat surface. Due to the no-slip boundary condition, the velocity profile, u(y), develops near the surface and is given by u/U (shown in image provided) where the constant parameters U and delta have dimensions of velocity and length respectively.
a) Develop an expression for the shear stress acting in any horizontal plane.
b) Determine the shear stress acting on the surface at y = 0 and again at the edge of the boundary
layer, y = delta.
(Express your answers in terms of Greek mu, the outer velocity U, and the boundary layer thickness delta.)
Transcribed Image Text:3 y
=
U 28
U
14
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