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JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2018 Volume 28, Issue 1, Pages 119–130 (Mi vuu625)

This article is cited in 3 papers

MECHANICS

The impact of position of the local volumetric heat generating source of a semi-cylindrical shape on heat exchange inside the cavity

N. S. Gibanov, M. A. Sheremet

Tomsk State University, pr. Lenina, 36, Tomsk, 634050, Russia

Abstract: Mathematical modeling of heat transfer processes inside a closed square cavity having a local heat source of a semi-cylindrical shape has been performed. The effect of the heater location on the evolution of flow structures has been analyzed. The considered cavity was a closed square contour with a heat-generating element located on the bottom wall. Side walls were considered as isothermal. The presented boundary problem has been formulated in dimensionless variables such as stream function-vorticity-temperature and it has been solved by a finite difference method. The effects of Rayleigh numbers in the range of $10^{4}$$10^{5}$ and the position of the local energy source on heat exchange inside the cavity have been estimated.

Keywords: closed contour, heat generating source, convection, numerical simulation.

UDC: 536.24

MSC: 76R10, 80A20

Received: 18.01.2018

DOI: 10.20537/vm180111



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