B,20 • EQUILIBRIUM BOUNDARY LAYERS 



depend on C/. Similarly the customary shape parameter H was found to be 

 unsuited to equilibrium profiles. He therefore adopted as the thickness 

 parameter 



■/: 



Ur 



dy 



(20-1) 



and as integral shape parameter 



»-/:(v^)"v/:^"*-f(^)''(i) 



Their relations 5*, d, and H are 



S* = .feA 



^ = /Ki-«a/I-) 



H = 



1 



(1 - (? vV2) 



(20-2) 



(20-3) 

 (20-4) 

 (20-5) 



The reader is referred to the original paper for a more detailed dis- 

 cussion of these parameters. The logarithmic plot of the data in terms of 



1 



0.001 



0.01 



y/A 



0.10 



Fig. B,20b. Logarithmic plot of equilibrium velocity profiles using 

 the Clauser thickness parameter A, after Clauser [83]. 



7//A is given here in Fig. B,20b. It is seen that near the wall the defect law 

 conforms to the logarithmic law, as it must according to the arguments 

 of Art. 17 if it overlaps the region in which the law of the wall is vahd. 

 This would be true, however, whether equilibrium existed or not, but 



< 137 ) 



