Abstract <p>A novel numerical model of multicomponent flows is presented taking into account the heat transfer between a fluid and solid bodies. The fluid model is based on an extended system of compressible Navier–Stokes equations with multicomponent diffusion. The algorithm simulates the direct time integration of the governing equations with splitting into convection and diffusion stages. The method implements direct coupling heat transfer due to the time integration of the heat equation in a fluid and in a solid with an automatic approximation of the interface temperature and heat flux continuity condition. Comparison of the numerical results with analytical solutions of the model problem of a laminar flow past a plate of finite thickness at various boundary conditions confirm the efficiency of the proposed method.</p>