A. S. Iberall 



over the core region: 



,_ 1 - cp = 1 - BqX^ ^ 1 , for x^ < 1 



qp ' ^ , fc ■■ 

 qp" % , '-' !" 



in the bovmdary layer 



(1- x2) , for x2 % 1 



R 



oo 



oo 



WORKING EQUATIONS FOR BOUNDARY LAYER AND CORE 

 Let 



= a; + SRq '-' ■''''' '■' '• "^^■''' 



,^ ^ ^ +SR^Jl-<p) , 



Mo = - + SR00 • 

 The working form of the fluctuating equations may be represented by 



[D2-\- j0]U + qD [DU + jaV+ jSW] - DP = , 

 [D2- \-j0] V + jaq[DU+ jaV + jSW] - jaP = 0, 



[D2 - \ - j0] W + j §q [DU + j aV + j S W] + R^y U - j SP = , (6) 

 a-i [D2- \- jcr0] J - 2ejSR^^q)'U - [2eR„y D + (7- 1) g] W + (7- 1) j>/;P = , 



[DU+jaV + jSW] - 7/32gW + 7/52J0P - /32j^j , 0, 



where 



\ = a2 + §2 and D = — • 

 dx 



The variables u, v, w, p, and J represent the fluctuating amplitudes, indexed 

 by the harmonic c^. They are as yet undetermined functions of x and w. (The 

 subscripts 00 have been dropped from the constants.) 



714 



