Renormalization group method for the turbulent mass transport two-equation model

Abstract

Turbulent mass transport is an essential phenomenon in chemical reactors. A two-equation model of turbulent mass transport has been proposed for less numerical simulation error in previous work. However, there are still some model constants that have undetermined values introduced by empirical modeling rules. In the present paper, the renormalization group (RNG) method is applied to the turbulent mass transport process. Through the RNG procedure, the small scale turbulent components in Navier-Stokes and convection diffusion equations can be eliminated and combined into large scale sources. The corresponding model constants are derived and applied to a grid turbulent diffusion simulation case. In this paper, the grid turbulence diffusion experiment with laser induced fluorescence (LIF) is carried out to verify the simulation results. A satisfactory agreement of concentration distribution between simulation and experiment indicates that the model constants obtained by the RNG method are reliable.