The conditional dissipation rate of an initially binary scalar in homogeneous turbulence
- 1 December 1991
- journal article
- Published by AIP Publishing in Physics of Fluids A: Fluid Dynamics
- Vol. 3 (12) , 3121-3123
- https://doi.org/10.1063/1.858127
Abstract
It is shown that a necessary and sufficient condition for the scalar dissipation rate, conditioned on scalar value φ, to be independent of φ is that the one‐point scalar probability distribution function (pdf) is Gaussian. It is then shown that the amplitude mapping closure yields a closed‐form, separable expression for the φ dependence of the conditional dissipation rate in the case of an initial double‐delta scalar pdf. If the initial binary scalar field is located at φ=±1, the solution is exp{ − 2[erf−1(φ)]2}, a result that is strongly supported by earlier direct numerical simulations.Keywords
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