19.6 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 To = Tw + (To,e – T)- where Tw = wall temperature and To,e and u̟ are the total temperature and velocity, respectively, at the outer edge of the boundary layer. [Hint:

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.44P
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19.6 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
To = Tw + (To,e – T)-
where Tw = wall temperature and To,e and u̟ are the total temperature
and velocity, respectively, at the outer edge of the boundary layer. [Hint:
Transcribed Image Text:19.6 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 To = Tw + (To,e – T)- where Tw = wall temperature and To,e and u̟ are the total temperature and velocity, respectively, at the outer edge of the boundary layer. [Hint:
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