Numerical Modeling of Natural and Mixed Convection in a Confined Space

To solve the problem, a numerical method and an effective algorithm were proposed, which made it possible to study heat and mass transfer processes in a confined plane-parallel and axisymmetric space of a complex configuration in a wide range of initial parameters both in a frozen flow regime and for chemical equilibrium between components. To describe the flow under consideration, a system of equations was used, derived from the Navier–Stokes equations for compressible gas. The original system of equations was written relative to the stream function \(\psi\) of vorticity \(\omega\) in dimensionless form in a Cartesian coordinate frame under the condition of axial symmetry. The processes of mixing and transfer of gases in a closed region of complex geometry, characteristic of the structures of gas-phase reactors, were studied under conditions of interaction of free and forced convection, considering conjugate heat transfer. It was revealed that at certain values of the flow rate of the injected gas and the geometric dimensions of the calculation domain, the formation of the main one-vortex and twin-vortex flow patterns is possible.