Year: 2017
Author: V. P. M. Senthil Nayaki, S. Saravanan, X. D. Niu, P. Kandaswamy
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 3 : pp. 698–721
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 $Ra =10^7$ 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2015.m1245
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 3 : pp. 698–721
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Natural convection rectangular cavity array heaters heat removal electronic equipment cooling.
Author Details
-
Natural convection and wall radiation in a cubical cavity with different discrete heat source configurations: Geometric parameters effect
El Moutaouakil, L. | Boukendil, M. | Zrikem, Z. | Abdelabaki, A.Thermal Science and Engineering Progress, Vol. 23 (2021), Iss. P.100874
https://doi.org/10.1016/j.tsep.2021.100874 [Citations: 2] -
Numerical Analysis of Natural Convection with Thermal Radiation in a Partially Heated 3D Cavity
El Moutaouakil, L. | Boukendil, M. | Zrikem, Z. | Abdelbaki, A.International Journal of Thermophysics, Vol. 40 (2019), Iss. 11
https://doi.org/10.1007/s10765-019-2569-2 [Citations: 8] -
Transient conjugate free convection within flexible enclosure having discrete heat source
Alhashash, Abeer | Saleh, HabibisAdvances in Mechanical Engineering, Vol. 16 (2024), Iss. 2
https://doi.org/10.1177/16878132241228517 [Citations: 1] -
Numerical Investigation of Natural Convection in a Partially Heated Square Cavity and at Different Inclinations Filled by (Water-Al2O3) Nanofluid, Using the Thermal Lattice Boltzmann Method
Bouamoud, Benameur | Houat, SamirInternational Journal of Applied and Computational Mathematics, Vol. 10 (2024), Iss. 3
https://doi.org/10.1007/s40819-024-01731-7 [Citations: 1] -
Numerical Investigation of Natural Convection in an Open-Ended Square Channel with Two Suspending Heat Sources
Liu, Qi | Xu, Xingrong | Liang, Peng | Xia, Junjie | Li, Wen-Peng | Li, Gu-Yuan | Yu, Jia-JiaProcesses, Vol. 10 (2022), Iss. 9 P.1774
https://doi.org/10.3390/pr10091774 [Citations: 1]