Consider a boundary layer flow over a flat plate as shown in Figure 1. The flow...
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Consider a boundary layer flow over a flat plate as shown in Figure 1. The flow is steady, incompressible, laminar and gravity may be neglected. At a distance x=b from the leading edge 2 the velocity profile can be described by the expression i(y) = U, ) i for y<8 and i = U î for y> 8. a) Applying the integral form of the continuity equation to a control volume bounded on top by the streamline beginning at y = h (just outside the shear layer), find an expression for & in terms of h. b) If the pressure variations are negligible, find an expression for the shear force acting on the plate surface. 1/n c) At high Reynolds number v(y) = U. )" î where n=7 for Re=5-10+ and n-10 for Re=10'. Find an expression for 8 in terms of h for both Re numbers and compare with results in a paragraph a). p = Pa Uo Streamline just outside the shear-layer region y = 8 Uo 2 y = h Oncoming Boundary layer where shear stress stream parallel to plate is significant u(y) 4 L Plate of width b Consider a boundary layer flow over a flat plate as shown in Figure 1. The flow is steady, incompressible, laminar and gravity may be neglected. At a distance x=b from the leading edge 2 the velocity profile can be described by the expression i(y) = U, ) i for y<8 and i = U î for y> 8. a) Applying the integral form of the continuity equation to a control volume bounded on top by the streamline beginning at y = h (just outside the shear layer), find an expression for & in terms of h. b) If the pressure variations are negligible, find an expression for the shear force acting on the plate surface. 1/n c) At high Reynolds number v(y) = U. )" î where n=7 for Re=5-10+ and n-10 for Re=10'. Find an expression for 8 in terms of h for both Re numbers and compare with results in a paragraph a). p = Pa Uo Streamline just outside the shear-layer region y = 8 Uo 2 y = h Oncoming Boundary layer where shear stress stream parallel to plate is significant u(y) 4 L Plate of width b
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Related Book For
Fundamentals of Heat and Mass Transfer
ISBN: 978-0471457282
6th Edition
Authors: Incropera, Dewitt, Bergman, Lavine
Posted Date:
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