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Conv_hw2 - laminar flow(both velocity and temperature and...

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EML 6155 Homework 2 1) Consider a body of revolution over which there is axisymmetric flow. Derive the energy equation in an (x,y) coordinate system as shown below: Put in the following form: x y R(x,y) 2) Consider axial laminar flow between two parallel plates separated by a distance h. There is a transverse velocity v w into the channel through the bottom plate and out the channel through the top plate with the same value v w . Develop and expression for the axial velocity profile, u(y) for fully developed flow. 3) Starting from the appropriate momentum and energy differential equations, evaluate the Nusselt number for both surfaces of a parallel-planes duct in which there is fully developed
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Unformatted text preview: laminar flow (both velocity and temperature) and in which there is heating from both surfaces but the heat flux from one surface is twice the heat flux from the other surface; and again when the heat flux from one surface is five times the flux from the other surface. The heat transfer rate per unit duct length is constant. yy xy yx xx DE 1 1 1 = -(qR)-(PRV)+ V F Dt R R 1 + { ( uR)+ ( vR)+ ( vR)+ ( uR)} R x y x y where F = Xi +Yj and V = ui +vj ρ τ ∇• ∇• • ∂ ∂ ∂ ∂ ∂ ∂ ∂ ∂ r r r r r r r r r r r r...
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