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

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 $10^5$ 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.