Self-Diffusion by Multivariate-Normal Turbulent Velocity Field
R. Vikram Raj Pandya
Abstract
A closed set of exact equations describing statistical theory of turbulent self-diffusion by multivariate-normal turbulent velocity field is derived. In doing so, we first suggest exact formulas for correlations <fi(p)fj(p')R[ f]>, <g(p)R[ f]> and <g(p)fj(p')R[ f]> when the functional R[ f] is functional of functions fi's having multivariate-normal distribution, g and fi's have joint normal distribution and zero mean values.
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