Abstract
The numerical simulation results of three-dimensional natural convection in a closed cavity were presented under conditions of the bottom horizontal solid-fluid interface radiant heating and conjugate heat exchange. Conservation equations of mass, momentum, and energy were formulated in terms of vorticity vector – vector potential – temperature dimensionless variables and solved by means of the finite difference method. It was found that the heat transfer process under study had a significant unsteady nature. According to the results of conjugate heat exchange integral analysis, it was shown that similar trends of mean Nusselt numbers versus dimensionless time were formed for both two and three dimensional problem formulations.
Highlights
Investigation of convective heat transfer in closed cavities plays an important role for science and engineering
Numerical analysis of three-dimensional conduction and natural convection was carried out for the following dimensionless criteria corresponding to laminar flow regime: Rayleigh number Ra 106, Prandtl number Pr=0.71, Kirpichev number Ki=13, Fourier numbers
The results of conjugate heat exchange integral analysis are presented in terms of the mean Nusselt numbers at the bottom horizontal
Summary
Investigation of convective heat transfer in closed cavities plays an important role for science and engineering. Research of heat transfer regularities in technical systems and technological processes contributes to increasing of their energy performance. To conduct full-scale experiment in order to reveal the basic heat exchange characteristics is not always possible to perform under operating conditions of thermal engineering equipment. The solutions of various natural convection problems in nonconjugate [1,2,3] and conjugate [4,5,6] formulations were performed last years. The numerical analysis is conducted basically for the twodimensional problems of heat transfer, which is associated with the significant complexity when implementing the difference schemes for time-dependent three-dimensional conservation equations of mass, momentum, and energy. Investigations of natural convection in a closed volume with radiant energy source in conjugate formulation are of great interest
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