Abstract

In this work, we consider a coupled system of equations for the convective heat transfer and flow problems, which describes the processes of the natural or forced convection in some bounded area. Mathematical model include the Navier-Stokes equation for flow and the heat transfer equation for the heat transfer. Numerical implementation is based on the finite element method, which allows to take into account the complex geometry of the modeled objects. For numerical stabilization of the convective heat transfer equation for high Peclet numbers, we use streamline upwinding Petrov-Galerkin (SUPG) method.The results of the numerical simulations are presented for the 2D formulation. As the test problems, we consider the flow and heat transfer problems in technical construction under the conditions of heat sources and influence of air temperature. We couple this formulation with heat transfer problem in the surrounding grounds and investigate the influence of the technical construction to the ground in conditio...

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