3D natural convection melting in a cubical cavity with a heat source

被引:38
作者
Bondareva, Nadezhda S. [1 ]
Sheremet, Mikhail A. [1 ,2 ]
机构
[1] Tomsk State Univ, Lab Convect Heat & Mass Transfer, Tomsk 634050, Russia
[2] Tomsk Polytech Univ, Dept Nucl & Thermal Power Plants, Tomsk 634050, Russia
关键词
Melting; Natural convection; Cubical cavity; Heat source; Vector potential functions; Numerical results; PHASE-CHANGE MATERIALS; LATTICE BOLTZMANN METHOD; RECTANGULAR ENCLOSURE; CYLINDRICAL ENCLOSURE; NUMERICAL-SIMULATION; POROUS ENCLOSURE; MAGNETIC-FIELD; INTERNAL FINS; SQUARE CAVITY; PCM;
D O I
10.1016/j.ijthermalsci.2017.01.021
中图分类号
O414.1 [热力学];
学科分类号
摘要
Three-dimensional natural convection melting in a cubical cavity with a local heater has been analyzed numerically. The considered region is an enclosure bounded by two isothermal opposite vertical surfaces of low constant temperature and adiabatic other walls. A heat source of high constant temperature is located on the bottom wall. The governing equations formulated in dimensionless vector potential functions, vorticity vector and temperature with corresponding initial and boundary conditions have been solved using implicit finite difference method of the second-order accuracy. The effects of the Rayleigh number (5.10(4) <= Ra <= 5.10(7)) and dimensionless time for Prandtl number (Pr = 48.36) and Stefan number (Ste = 5.53) on streamlines, isotherms, profiles of temperature and velocity as well as mean Nusselt number at the heat source surface have been analyzed. (C) 2017 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:43 / 53
页数:11
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