Consider a compressible, laminar boundary layer over a flat plate. Assuming Pr = 1 and a calorically perfect gas, show that the profile of total temperature through the boundary layer is a function of the velocity profile via where Tw = wall temperature and T0,e and ue are the total temperature and velocity, respectively, at the outer edge of the boundarylayer.

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U To- T +(ToT) - U₂