Question: Using the approximate solution developed in the text for a laminar boundary layer with constant free-stream velocity and a simple step in surface temperature at some arbitrary point, develop a solution for Pr = 0.7 and to - too varying directly with x, using superposition theory. Compare with the exact result from Problem.
Problem: Consider constant-property flow along a surface with constant free-stream velocity. Let the temperature difference between the wall surface and the fluid, t0 - t∞, vary as xm, where m is a constant. Show that a similarity solution to the energy equation is obtainable under these conditions. Carry out the necessary calculations to obtain the Nusselt number as a function of Reynolds number for Pr = 0.7 and m = 1.