In the present paper, we investigate a new homogeneous relaxation model describing behaviour of two-phase fluid flow in low Mach number regime, which can be obtained as approximation well-known HRM. For this specific model, derive an equation state to describe thermodynamics fluid. We prove some theoretical properties satisfied by solutions and provide well-balanced scheme. To go further, insta...

We prove uniform existence results for the full Navier-Stokes equations for time intervals which are independent of the Mach number, the Reynolds number and the Péclet number. We consider general equations of state and we give an application for the low Mach number limit combustion problem introduced by Majda in [18].

Turbulent reacting flows are often met in industrial applications where many simulations have been performed, mostly concerning problems in practical devices. In turbulent combustion, fluid dynamics is strongly coupled with chemical kinetics. Actually turbulent stirring may enhance chemical reaction or may lead to local quenching. A better knowledge of these interactions is required both for a ...

In this study, turbulent compressible gas flow in a rectangular micro-channel is numerically investigated. The gas flow assumed to be in the subsonic regime up to Mach number about 0.7. Five low and high Reynolds number RANS turbulence models are used for modeling the turbulent flow. Two types of mesh are generated depending on the employed turbulence model. The computations are performed for R...