Question: Consider a laminar steady two-dimensional flow over a flat plate with zero pressure gradient. The surface temperature To and free stream temperature T... Consider

Consider a laminar steady two-dimensional flow over a flat plate with zero

Consider a laminar steady two-dimensional flow over a flat plate with zero pressure gradient. The surface temperature To and free stream temperature T... Consider physical properties are varied with the temperature as b where a, b, and c are constant. l Ho = pu a k T (-)". (-)-(-). = Co ko Momentum ax The equations governing the fluid motion and the temperature field are: Continuity (u) (v) + x x pcu + pv Energy T x = 0 Ju a y = T + pcv. T +7 (434) = T y With the boundary conditions: at y = 0 u = v = 0, T = To as y u uo and T To Obtain the equations governing the similarity solution for the stream function and the temperature field. For the temperature of 600 to 2400 F, the physical properties can be approximated with a = 0.7, b = 0.19 and c = 0.85 and Pro = 0.7. Plot u/u and T/To for To/T = 1.5,2,3 and 5. With Cf and Nu are the local skin friction coefficient and Nusselt number when the properties are variable and C,cp Nucp are the local skin friction coefficient and Nu NUCP Nusselt number when properties are constant, plot Cf To 'CcP C Approximating- best fit to these approximations. m = and Nu NUCP = n Cf, CP , and vs To/Too. find the m and n values for the

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