Finite element solution of two-dimensional coupled energy and momentum equations with variable properties

This paper presents a finite element solution of steady-state, coupled energy and momentum equations with variable properties. The pressure and velocity approach of the finite element method with the Laplacian form of pressure equation was adopted in solving the problem. The emphasis of the present work is on the improved understanding of the thermal-hydraulic behavior in a Liquid Metal Fast Breeder Reactor, in particular, the natural circulation phenomenon. The result of the present work is utilized in investigating the mixed convection phenomenon as well as the forced convection phenomenon for the developing flow and the fully developed flow. In addition, a brief discussion is made as to how the turbulent viscosity and the turbulent thermal diffusivity can be evaluated for the buoyancy induced flow and flow with low Prandtl number