A Turbulence-Chemistry Interaction Model Based on a Multivariate Presumed Beta-PDF Method for Turbulent Flames

A turbulence-chemistry interaction model based on presumed probability density functions (PDF) is presented. It can be coupled with conventionally reduced mechanisms and is capable of capturing major and minor species distribution features in turbulent diffusion flames. Combined with a reduced mechanism using intrinsic low-dimensional manifolds (ILDM), the method in which the joint PDF is assumed to be a product of one-dimensional β-PDFs is successfully applied to model the turbulent mixing and scalar field of a turbulent piloted methane/air flame. Although the so-called flames E and F provide a superior test of a model's ability to treat finite-rate chemistry, this work focusses on the flame D. A Reynold stress closure of second order is used for the turbulence description whilst gradient ansatz are postulated for scalar fluxes. Results of the simulations in form of means and variances of velocity and scalars and conditional means are compared to experimental data.

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