B • TURBULENT FLOW 



Fig. B,9d. Total temperature profile across turbulent boundary layer. The free 

 stream Mach number is 4.93 and there is no heat transfer. The experimental data in 

 circles are drawn after Lobb, Winkler, and Persh [18] and private communications. 

 The curve is drawn according to Eq. 9-12, by assuming equal thickness of boundary 

 layers for U and T. 



could then be formulated predicting that T'^/Tl increases as {U/UeY in- 

 creases. With this in view we shall introduce a variable recovery factor 

 r{y) and write by analogy to Eq. 9-7, 



CpT + My)U' = CpT. + ^rMl ^ c^T. 



(9-11) 



Here it is assumed that the heat conduction through the wall is absent, 

 i.e. (dT/dy)^ = 0, but Pr may be arbitrary. Eq. 9-11 gives T°{y) in terms 

 of U{y) as follows: 





with 



!_- + 



-' e 



r{y) - 1 



0-9^(1) 



(9-12) 



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