Turbulent combustion analysis with various probability density functions
Abstract
A finite element method for the computation of confined, axisymmetric, turbulent diffusion flames is developed. This algorithm adopts the coupled velocitypressure formulation to improve the covergence rate in variableviscosity/variabledensity flows. In order to minimize the numerical diffusion, the streamline upwind/PetrovGalerkin formulation is employed. Turbulence is represented by the kepsilon model, and the combustion process involves an irreversible onestep reaction at an infinite rate. The mean mixture properties were obtained by three methods based on the diffusion flame concept; without using a pdf, with a doubledelta pdf, and with a beta pdf. A comparison is made between the combustion models with and without the pdf application, and the effect of turbulence on combustion are discussed. The numerical results are compared with available experimental data.
 Publication:

9th AIAA Computational Fluid Dynamics Conference
 Pub Date:
 1989
 Bibcode:
 1989cfd..conf..594K
 Keywords:

 Combustible Flow;
 Diffusion Flames;
 Finite Element Method;
 Probability Density Functions;
 Turbulent Diffusion;
 Compressible Flow;
 Galerkin Method;
 KEpsilon Turbulence Model;
 Stream Functions (Fluids);
 Transport Theory;
 Fluid Mechanics and Heat Transfer