Natural convection in compressible fluids with variable properties
Abstract
Polezhaev (1967 solved the complete equations, including the continuity equation, for a square cavity and for one value of the dimensionless temperature difference between hot and cold walls. The technique proposed in the present paper avoids the necessity of solving the continuity equation and, thus, can take full advantage of the Mallinson and de Vahl Davis (1973) false transient method for speeding up the convergence. Further, unlike Polezhaev's method, the scheme proposed permits accurate determination of the very small changes in pressure which occur in the cavity. For illustration, the method is applied to an analysis of the effects of fluid property variations on both the thermal and flow structures in typical convective gas flows.
- Publication:
-
Numerical Methods in Thermal Problems
- Pub Date:
- 1979
- Bibcode:
- 1979nmtp.proc..297L
- Keywords:
-
- Compressible Flow;
- Free Convection;
- Two Dimensional Flow;
- Boussinesq Approximation;
- Cavities;
- Finite Difference Theory;
- Nusselt Number;
- Stream Functions (Fluids);
- Vorticity Equations;
- Fluid Mechanics and Heat Transfer