208 



Ki,K2 



K12/K21 



L 



mj ,m2, . . 



P 



Q 



tl,t2 

 u,v,w, 

 u, v,w 



T 



>^ref 

 x,y,z 



x,Y,z 



.ini2 



5 

 6* 



Tn 

 „+ 



'11 



V 



P 



T 



net spacing in x-direction 



geodesic curvatures, see (5) 



geometric parameters, see (5) 



mixing length, see (18a) , or refer- 

 ence length 



coefficients, see (28) or (32) 



static pressure 



total velocity in the boundary layer 



Reynolds numbers, UgSi/v and u„L/v 



Reynolds number, Ug 6*/v 



Reynolds number, Ug Q\i/^ 



arc length along coordinate line 



unit tangent vectors along x and z 

 directions 



velocity components in the x,y,z 

 directions 



velocity components in the Cartesian 

 coordinate 



velocity components in boundary layer 

 parallel and normal, respectively, 

 to external streamline 



friction velocity, see (18c) 



freestream velocity 



reference velocity 



nonorthogonal boundary-layer coor- 

 dinates 



Cartesian coordinates 



Reynolds stresses 



crossflow angle 



limiting crossflow angle 



boundary-layer thickness 



displacement thickness. 



(1 - Ug/Us )dy 



eddy viscosity 



dimensionless eddy viscosity, £ /v 



similarity variable for y, see (21) 



momentum thickness, 



r" 

 J Ug/usgd - Us/Ugg)dy 



dynamic viscosity 

 kinematic viscosity 

 density 

 shear stress 



two-component vector potentials, se 

 (23) 



Subscripts 



e boundary-layer edge 



s streamwise direction 



t total value 



w wall 



primes denote differentiation with respect to n 



ACKNOWLEDGMENT 



This work was supported by the David. Taylor Naval 

 Ship Research and Development Center under contract 

 N00014-76-C-0950. 



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