Numerical solution of problems concerning the thermal convection of a variable-viscosity liquid
Abstract
A stabilizing-correction scheme is constructed for integrating the fourth-order equation describing the dynamics of a viscous incompressible liquid. As an example, a solution is obtained to the problem of the solidification of a liquid in a rectangular region with allowance for convective energy transfer in the liquid phase as well as temperature-dependent changes of viscosity. It is noted that the proposed method can be used to study steady-state problems of thermal convection in ingots obtained through continuous casting.
- Publication:
-
IN: Applied problems of mathematical physics and functional analysis (A87-15508 04-59). Alma-Ata
- Pub Date:
- 1985
- Bibcode:
- 1985apmp.book...58Z
- Keywords:
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- Convective Heat Transfer;
- Incompressible Fluids;
- Viscous Fluids;
- Finite Difference Theory;
- Numerical Integration;
- Phase Transformations;
- Temperature Dependence;
- Fluid Mechanics and Heat Transfer