r 2fo,c,(Y, - 1) ] / uk, X * A llcoj \ 

 L (^p^p^b 2 J V 2p 0a c Pa ^ V 6P0.C, 2 ^ 



V Sp^b 2 ^ L V Po,(o 2 a 2 ^ V 3p 0a c a 2 a; J 



V gpowPo, 2 ^ 2 ^ ^ + L (o Pow ab 2 J v2p 0a c Pa ) V Pot co 2 a 3 j 

 r 2^ cq(y,-1) 1 / coK a \ ,/2 / 1 11(05 \ 



- ' L ^Po.p^b 2 J 1-2*5; ; ( 1 ep^rj (b-6d 



Then a comparison of all terms in equation B-61 yields: 



/ Po,P 0a C a 2 \ = _ / 2EJC W \ rC w P ,(Ya-1) -| / COK a ^ '/ _Jf\ 



V c, / l.3a)p 0w a 2 b 2 / L o)p 0w ab 2 JV2p 0a c Pa / V Po f w 2 a3/ 



VSpowb 2 ^ L V Po f w 2 a 2 M 3p 0a c a 2 a / J 



i / 11 ^°w \ , | r C w Po,(Ya-1) -| / <dK a v* / 2S > 



v.9p 0w p 0f c f 2 a 2 b 2 J + L oop 0w ab 2 J l2p 0a c Pa ) { p 0f 0) 2 a3 ) " (B-62) 



Examination of equations B-60 and B-62 shows that all the viscothermal terms are negligible. 

 Subtraction of equation B-62 from B-60 and a subsequent comparison of terms yields: 



(*&Si) (v - z) - <~.) { 1 + (^-) 



r 3Po,c w (Ya-1) -| / tox a v * / 2s \ | 



L p 0w u) 2 a 2 Jl2p 0a c p J V Po f w 2 a 3 / j 



Equation 111-32 indicates that I B w I 2 is required to determine o. This implies, from equation B-48, that I Y I 2 

 is required. If 



Y = Y r + iYi , (B-64) 



then 



|Y| 2 = Y r 2 + X 2 , ( B " 65 ) 



where Y r and Y, are the real and imaginary parts of Y, respectively. Thus, in light of equation B-65, it is possible 

 to simplify equation B-60 by comparing magnitudes of real and imaginary terms. This comparison yields: 



( ^i )Y= (^L)[ 1+A + lx ], (B . 66) 



51 



