@Article{AAMM-7-5,
author = {Kumar, Ashok and Pravez, Alam and Prachi, Fartyal},
title = {Thermo-Solutal Natural Convection in an Anisotropic Porous Enclosure Due to Non-Uniform Temperature and Concentration at Bottom Wall},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2015},
volume = {7},
number = {5},
pages = {644--662},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m632},
url = {https://global-sci.com/article/73415/thermo-solutal-natural-convection-in-an-anisotropic-porous-enclosure-due-to-non-uniform-temperature-and-concentration-at-bottom-wall}
}