Mixed convection under conditions of weak external flow in a vertical channel with a finite-size heat source

Abstract

Mixed convection is investigated in a vertical plane-parallel channel from a finite-size heat source located on one of the walls. Numerical calculations are performed for the Prandtl number value of 0.7, in the ranges of values of Grashof number from zero to 105 and Reynolds number from zero to 10. Two-dimensional unsteady-state Navier-Stokes equations in the Boussinesq approximation are used as model. The model is formulated in the “speed eddy-stream function-temperature” variables and solved by the finite element method.