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논문 기본 정보

자료유형
학술대회자료
저자정보
Mani SANKAR (경북대학교) Junpyo PARK (경북대학교) Younghae DO (경북대학교)
저널정보
한국산업응용수학회 한국산업응용수학회 학술대회 논문집 한국산업응용수학회 학술대회 논문집 Vol.6 No.1
발행연도
2011.5
수록면
317 - 320 (4page)

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This paper reports a numerical study of natural convection in a vertical annulus filled with a fluid-saturated porous medium and with internal heat generation subject to a discrete heating from the inner wall. The relative importance of discrete heating on natural convection in the porous annulus is examined via the Brinkman-extended Darcy equation. The inner wall of the annulus has a discrete heat source and the outer wall is isothermally cooled at a lower temperature. The top and bottom walls, and the unheated portions of the inner wall are kept adiabatic. The governing equations are numerically solved using an implicit finite difference method. A wide range of numerical simulations is conducted to understand the effects of various parameters like heat source length, heat source location, Darcy number, radii ratio and Rayleigh numbers due to external and internal heating, on the flow and heat transfer. The numerical results reveal that the placement of the heater near the middle portion of the inner wall yields the maximum heat transfer and minimum hot spots rather than placing the heater near the top and bottom portions of the inner wall. The heat transfer increases with an increase in the external Rayleigh number and Darcy number, while it decreases with an increase in the internal Rayleigh number, porosity of the porous medium and the size of the heater. Further, we found that the size and location of the heater has a profound influence on the heat transfer rate and maximum temperature in the annular cavity.

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ABSTRACT
Introduction
EQUATIONS
FIGURES
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UCI(KEPA) : I410-ECN-0101-2013-410-000695611