Answer Happy

Flow over an isothermal plate is shown in the right. Assuming steady state, incompressible, laminar flow, constant fluid properties, negligible viscous dissipation and dp/dx = 0, the boundary layer equations are reduced to: T, 8(x) L ди Ov ди du 22u + = 0 - (1), u +v =V ax ay ax ay ду? at ar 02T (2), and u + v Ξα ax ду ду? (3) After introducing the stream function, y, and defining new dependent and independent variables, f (n) and n, such that: f(n) , n = y/uc/ux. Uvx/uce Pr dt* d27* (a) Please derive the energy equation (3) to + f = 0, where T*=[(T-Ts)/(Too-Ts)] dn2 dn (b) Applying the boundary conditions, T*(0) = 0 and T*(60) = 1, numerical integration shows: = 0.332Pr1/3 for Pr20.6. Please derive Nux = 0.332Re 2 Pr1/3 dn = dT* 1/2 'n=0