Turbulence–chemistry interaction models with finite-rate chemistry and compressibility correction for simulation of supersonic turbulent combustion

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Abstract

The turbulence–chemistry interaction model with finite-rate chemistry is a common model for solving supersonic turbulent combustion and takes into consideration the interaction between turbulent mixing and chemical reactions as well as finite chemistry reaction instead of the fast chemistry assumption. However, not only the density and viscosity but also the chemical reactions are affected by the compressibility of the flow field with an increasing Mach number. Considering engineering applications, the compressibility correction was introduced to two recent turbulence–chemistry interaction models with finite-rate chemistry, the Partially Stirred Reactor (PaSR) model and Unsteady PaSR (UPaSR) model, in a Reynolds-averaged Navier–Stokes framework. Numerical simulations of two typical supersonic combustors showed that the interaction between the turbulence and combustion was intensive within complex supersonic chemical reaction flow and could be described by the fine-scale structure volume fraction. The distributions of temperature, pressure, velocity and components somewhat downstream of fuel injection areas were most obviously improved by the presented models. Moreover, the increase in computational time consumption by the compressibility correction was less than 2%. It was found that the Compressible PaSR (C-PaSR) model and the UPaSR model show better consistency with experimental results than the traditional PaSR model.

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