A laminar flow occurs between two horizontal parallel plates under a pressure gradient

Chapter 2, Problem 2.36

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A laminar flow occurs between two horizontal parallel plates under a pressure gradient dplds (p decreases in the positives direction). The upper plate moves left (negative) at elocity u,. The expression for local velocity u is given as 1 dp y u = - - (Hy - y2) + u,- 2f-L ds H a. ls the magnitude of the shear stress greater at the moving plate (y = H) or at the stationary plate (y = 0)? b. Derive an expression for they position of zero shear stress. c. Derive an expression for the plate speed u1 required to make the shear stress zero at y = 0.

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