Theory of Turbulent Flow Between Parallel Plates 





MEAN VEL OISTRIB 

 Roo = REY NO (-•HlKo/vA-) 



CHANNEL VCL. (NORM ) 

 MEAN I VEL AT CTR 

 NON-OIMENS FUNCT 

 HALF SEPAR 

 DIST FROM CTR (NORM) 



-y 



10,000 



-'/" 



0.95 1.0 

 100 



Fig. 1 - Properties of the mean velocity- 

 distribution for one-(iimensional flow be- 

 tween parallel plates driven by a constant 

 pressure gradient (data from Laufer (8)) 



h2 ^2^ 



Wo dx2 

 h dW 



= 21 + 10,000 (1-x/h) , to 1 - x/h = 0.0095 

 = -21 + 21 (1-x/h) + 5,000 (l-x/h)2 , 



h_2 d^ 

 W„ dx2 



= 21 (1-x/h) - 10.5 (1- x/h)2 - 1,670 (1-x/h)- 



30,800: 



= 46 + 300,000 (1-x/h) , to 1 - x/h = 0.0065 



711 



