On direct solving conjugate heat transfer of gas mixture and solid body

Abstract

A novel methodology of numerical solving is developed for applications of unsteady conjugate heat transfer. It is based on a parallel integration strategy of governing equations in fluid and solid domains. The 3D numerical model takes into account an unsteady thermal interaction of viscous multicomponent flow and a solid body. The fluid dynamic model is based on an extended system of the compressible Navier–Stokes equations with the multicomponent diffusion. In a solid, the unsteady heat conduction equation is stated. In a fluid–solid system the heat transfer is fully coupled. Normal heat flux and temperature are continuous across an interface. The method is based on direct coupling heat transfer due to the time integration of the heat equation in fluid and in solid with an automatic approximation of the interfacial condition. This approach is especially effective for unsteady computations, since it does not require the use of an iterative method at each time step. The proposed method is generalized for multiblock conformal unstructured grids. This approach is especially effective for non-stationary calculations, since it does not require the use of an iterative method at each time step. The results of comparison with a model problem analytical solution confirm an efficiency of the proposed method.