The book Analytical Theory of Turbulent Diffusion was written by author P H Roberts Here you can read free online of Analytical Theory of Turbulent Diffusion book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Analytical Theory of Turbulent Diffusion a good or bad book?
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J»«l. _ where \|r (x, t) = ijf (x, t|x, 0) and \|f (y, s) = \|/p(y^s|y, 0) denote the unaveraged Green's functions. In stationary homogeneous flows, this result reduces to (3-21) on the assimption that the )jf and u fields are uncorrelated (cf. Sec. Aw 2. 5). 27. Also, by adding to (5. 19) to the analagous equation for the deri- vative with respect to s, and setting t = s, ve find It = / ^^(;::'^^^i. V°)^iY^ = = ij- / dt' / dx'U, . (xSt')G(x', t') 2 / df / drU. . (r +r, t-t') R(r, t, t'lr, 0)+R...(r, f, t|r, 0) (3. 22) For t « T(r ), R is negligible except near r = 0, and the right-hand side of O MM (5. 22) becomes U. . (0, 0) - U. . (r, 0) t, in agreement with (3. 10). For t » l/v, R is appreciable even at for sepa- rations r of order I. For such large separations, the second term on the right-hand side of (3-22) is quite negligible, and we find (cf. Eqs. 2. 27, ^. 28) =2 =2 =kK (3. 25) This is consistent with the intuitive notion that, at such large separations from their source and each other, the particles will wander independently as 28.
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