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مکانیک::
آشفتگی همگن
His research monograph The Theory of Homogeneous Turbulence, published in 1953, ap- peared at a time when he was still optimistic that a complete solution to 'the problem of turbulence' might be found.
8.6 The decay of homogeneous turbulence
Much of Batchelor's early work was concerned with the idealized problem of homogeneous turbulence; that is, turbulence whose statistical properties are invariant under translations.
In shear flow turbulence (as opposed to homogeneous turbulence with zero mean) the (linear) inter- action between the mean flow and the turbulent fluctuations provides a valid starting point for theoretical investigation, which is simply not available for the problem of homogeneous turbulence with zero mean.
Proudman (1956) revealed an awkward non-analytic behaviour of the spec- trum tensor of homogeneous turbulence in the neighbourhood of the origin in wave-number space, induced by the long-range influence of the pressure field.
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