119
obtain the variation with respect to \. Upon carrying this out it is found that
P = dLi_ d dU dU x
D\ is arbitrary yields after
carrying out the integrations in 2
CC J-2 Ir^CT1
- v*(M '-) nu Vfc(V*Mi) = 0 (C.12)
9 9
which is rewritten as
9~j^~ + + ^h{CCgVhi) i(er2 k2CCt) = 0 (C.13)
Varying Li with respect to iji yields
0*71 + 1, + hi = 0
(C.14)
which can be written as
10*1
Vi = prr
g Dt
(C.15)
which upon substitution into (C.13) yields the governing equation
^r + V^CCpV^x) + (a2 **CCf)*! = 0
which upon making the substitution that 0 = V/,^o becomes
+ (v* )^r ~ Va(cc.Vfc*!) + (