: Equation 2.7 in the text provides the velocity profile, u(y) for a narrow, infinitely lo1 microchannel. Use the no-slip boundary conditions (channel walls not moving) to obta 1 dp {y} dard solution, u(y) = y - hy} 2n dx ncompressible, Newtonian fluid, with fluid properties as described in the text, shear stre du ally given byt=7· dy ut an expression for the shear stress as a function of y. Calculate shear stress at: (a) v =
: Equation 2.7 in the text provides the velocity profile, u(y) for a narrow, infinitely lo1 microchannel. Use the no-slip boundary conditions (channel walls not moving) to obta 1 dp {y} dard solution, u(y) = y - hy} 2n dx ncompressible, Newtonian fluid, with fluid properties as described in the text, shear stre du ally given byt=7· dy ut an expression for the shear stress as a function of y. Calculate shear stress at: (a) v =
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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Transcribed Image Text:HW1.1: Equation 2.7 in the text provides the velocity profile, u(y) for a narrow, infinitely long,
slit-like microchannel. Use the no-slip boundary conditions (channel walls not moving) to obtain
1 dp - hy}
2n dx
the standard solution, u(y)=
For an incompressible, Newtonian fluid, with fluid properties as described in the text, shear stress
du
is typically given by t =n·
dy
Write-out an expression for the shear stress as a function of y. Calculate shear stress at: (a) y = 0;
(b) y = h; and (c) y = h/2.
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