Problem 1. For uniform flow over a flat plate, a useful approximation for the x-component of velocity in an incompressible laminar boundary layer is a parabolic variation from the velocity at the surface, u (y = 0) = 0 due to no-slip condition, to the free-stream velocity at the edge of the boundary layer, u (y = 8) = U. The equation for the profile is given by u/U = 2 (y/d) – (y/8)², where d = cx 1/2 and c is a constant - (a) Show that the simplest expression for the y-component of velocity is (b) Plot u/U and v/U versus y/d at x = separate graphs. 2 *=4[4(9)²¯ +(9)*] = 0.50 m where = 5.0 mm. Use the x-axis for velocity and plot on (c) Find the maximum value for v/U at this location and discuss its magnitude compared to u/U. АУ u(x, y) U

Problem 1. For uniform flow over a flat plate, a useful approximation for the x-component of velocity in an incompressible laminar boundary layer is a parabolic variation from the velocity at the surface, u (y = 0) = 0 due to no-slip condition, to the free-stream velocity at the edge of the boundary layer, u (y = 8) = U. The equation for the profile is given by u/U = 2 (y/d) – (y/8)², where d = cx 1/2 and c is a constant - (a) Show that the simplest expression for the y-component of velocity is (b) Plot u/U and v/U versus y/d at x = separate graphs. 2 =4[4(9)²¯ +(9)] = 0.50 m where = 5.0 mm. Use the x-axis for velocity and plot on (c) Find the maximum value for v/U at this location and discuss its magnitude compared to u/U. АУ u(x, y) U

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.29P: Air at 20C flows at 1 m/s between two parallel flat plates spaced 5 cm apart. Estimate the distance...

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Two immiscible Newtonian liquids, A and B, are in steady laminar flow between two parallelplates. Which, if any, of the velocity profiles shown below are impossible? Explain your answerscarefully.shear stress is visocsity time dux/dy
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