Thermo-Solutal Natural Convection in an Anisotropic Porous Enclosure Due to Non-Uniform Temperature and Concentration at Bottom Wall
Year: 2015
Author: Ashok Kumar, Pravez Alam, Prachi Fartyal
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 5 : pp. 644–662
Abstract
This article summaries a numerical study of thermo-solutal natural convection in a square cavity filled with anisotropic porous medium. The side walls of the cavity are maintained at constant temperatures and concentrations, whereas bottom wall is a function of non-uniform (sinusoidal) temperature and concentration. The non-Darcy Brinkmann model is considered. The governing equations are solved numerically by spectral element method using the vorticity-stream-function approach. The controlling parameters for present study are Darcy number $(Da)$, heat source intensity i.e., thermal Rayleigh number $(Ra)$, permeability ratio $(K^∗)$, orientation angle $(ϕ)$. The main attention is given to understand the impact of anisotropy parameters on average rates of heat transfer (bottom, $Nu_b$, side $Nu_s$) and mass transfer (bottom, $Sh_b$, side, $Sh_s$) as well as on streamlines, isotherms and iso-concentration. Numerical results show that, for irrespective value of $K^∗$, the heat and mass transfer rates are negligible for $10^{-7}≤Da≤10^{−5}, Ra=2×10^5$ and $ϕ=45^◦$. However, a significant impact appears on Nusselt and Sherwood numbers when Da lies between $10^{−5}$ to $10^{−4}$. The maximum bottom heat and mass transfer rates ($Nu_b, Su_b$) is attained at $ϕ=45^◦$, when $K^∗= $0.5 and 2.0. Furthermore, both heat and mass transfer rates increase on increasing Rayleigh number ($Ra$) for all the values of $K^∗$. Overall, It is concluded from the above study that due to anisotropic permeability the flow dynamics becomes complex.
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.2014.m632
Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 5 : pp. 644–662
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Author Details
-
Convection in Porous Media
Internal Natural Convection: Heating from Below
Nield, Donald A. | Bejan, Adrian2017
https://doi.org/10.1007/978-3-319-49562-0_6 [Citations: 3] -
Thermosolutal natural convection in a partly porous cavity with sinusoidal wall heating and cooling
Omara, Abdeslam | Touiker, Mouna | Bourouis, AbderrahimInternational Journal of Numerical Methods for Heat & Fluid Flow, Vol. 32 (2022), Iss. 3 P.1115
https://doi.org/10.1108/HFF-01-2021-0062 [Citations: 15] -
Influence of periodicity on natural convection in a square porous cavity due to non-uniform heat under LTNE state
Kumar, Vipin | Kumar, AshokNumerical Heat Transfer, Part A: Applications, Vol. (2024), Iss. P.1
https://doi.org/10.1080/10407782.2024.2357591 [Citations: 0]