## THERMAL SCIENCE

International Scientific Journal

### LATTICE BOLTZMANN SIMULATION OF MELTING PHENOMENON WITH NATURAL CONVECTION FROM AN ECCENTRIC ANNULUS

**ABSTRACT**

In the present study, a double-population thermal lattice Boltzmann was applied to solve phase change problem with natural convection in an eccentric annulus. The simulation of melting process from a concentrically and eccentrically placed inner hot cylinder inside an outer cold cylinder with Prandtl number of 6.2, Stefan number of 1 and Rayleigh number of 105 was carried out quantitatively. It was found that the position of the inner cylinder inside the outer cylinder significantly influence the flow patterns including the size and shape of two formed vortexes. It is also observed that the maximum of liquid fractions occurs where the inner cylinder is mounted at the bottom of outer cylinder.

**KEYWORDS**

PAPER SUBMITTED: 2011-05-10

PAPER REVISED: 2012-11-03

PAPER ACCEPTED: 2013-02-19

PUBLISHED ONLINE: 2013-04-13

**THERMAL SCIENCE** YEAR

**2013**, VOLUME

**17**, ISSUE

**Issue 3**, PAGES [877 - 890]

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