Now define the non-dimensional quantity y ryi / dy 5c(x,y,z) 5c*(x,z) = J dy <5c(x,y,z) = ^(A-15)Observe that y dxdz5c*(x,z) = 0 (A-16)This quantity is a "measure" of the deviation of the y-integrated local concentration from its average value. Employing A-14, expanding the exponential, one finds:
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