The mathematical modelling of turbulent flames is a difficult task due to the intense coupling between turbulent transport processes and chemical kinetics. The model presented within this paper is focused on the turbulence-chemistry interaction. The topic of this study is the numerical simulation of turbulent non-premixed hydrogen flame with different turbulent models in order to invest gate their predictive capability. The two turbulent models are compared: the (k-ε) model with a limited Pope's correction and the Reynolds stress model (RSM). The predictions are validated against experimental data provided by Raman and laser Doppler anemometry (LDA) measurements for a turbulent jet hydrogen-air diffusion flame. The turbulence-chemistry interaction is handled with flame let approach. Simulations of test cases with simple geometries verify the developed model and compare favourably with results of earlier investigations that employed both (k-ε) and RSM closures with the CMC and PDF approaches [5,7].

Two-dimensional steady mixed convection flow in an enclosure with partitions filled with a Bingham fluid is considered. The vertical walls are maintained at different constant temperatures and they are moving in opposite direction. The upper and the bottom walls are fixed and thermally insulated. The governing equations are normalized and solved numerically by the finite volume control. A parametric investigation is performed and a set of isotherms and streamlines are presented. The results shown that the decrease of Richardson number increase the fluid flow and enhanced the heat transfer. The effect of the yield-stress in the presence of the partition is to drop the fluid motion and to augment heat transfer where the conduction mode is dominant.