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Natural Convection Cooling of an Array of Flush Mounted Discrete Heaters Inside a 3D Cavity

Part of: Diffusion and convection Basic methods in fluid mechanics Thermodynamics and heat transfer Incompressible viscous fluids

Published online by Cambridge University Press:  17 January 2017

V. P. M. Senthil Nayaki ,
S. Saravanan ,
X. D. Niu  and
P. Kandaswamy
V. P. M. Senthil Nayaki
Affiliation:
Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, Tamil Nadu, India
S. Saravanan*
Affiliation:
Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India
X. D. Niu
Affiliation:
College of Engineering, Shantou University, Shantou, Guangdong 515063, China
P. Kandaswamy
Affiliation:
Research Center for Energy Conversion System, Doshisha University, Kyoto 610-0394, Japan
*
*Corresponding author. Email:drsshravan@gmail.com (S. Saravanan)
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Abstract

An investigation of natural convective flow and heat transfer inside a three dimensional rectangular cavity containing an array of discrete heat sources is carried out. The array consists of a row and columnwise regular arrangement of identical square shaped isoflux discrete heaters and is flush mounted on a vertical wall of the cavity. A symmetrical isothermal sink condition is maintained by cooling the cavity uniformly from either the opposite wall or the side walls or the top and bottom walls. The other walls of the cavity are maintained adiabatic. A finite volume method based on the SIMPLE algorithm and the power law scheme is used to solve the conservation equations. The parametric study covers the influence of pertinent parameters such as the Rayleigh number, the Prandtl number, side aspect ratio of the cavity and cavity heater ratio. A detailed fluid flow and heat transfer characteristics for the three cases are reported in terms of isothermal and velocity vector plots and Nusselt numbers. In general it is found that the overall heat transfer rate within the cavity for Ra=107 is maximum when the side aspect ratio of the cavity lies between 1.5 and 2. A more complex and peculiar flow pattern is observed in the presence of top and bottom cold walls which in turn introduces hot spots on the adiabatic walls. Their location and size are highly sensitive to the side aspect ratio of the cavity and hence offers more effective ways for passive heat removal.

Keywords

Natural convectionrectangular cavityarray heatersheat removalelectronic equipment cooling

MSC classification

Secondary: 76R05: Forced convection 76D55: Flow control and optimization 76M12: Finite volume methods 80A20: Heat and mass transfer, heat flow
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 3 , June 2017 , pp. 698 - 721
Copyright
Copyright © Global-Science Press 2017 

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