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Darcy–Brinkman Double Diffusive Convection in an Anisotropic Porous Layer with Gravity Fluctuation and Throughflow

Authors :
Gangadharaiah Yeliyur Honnappa
Manjunatha Narayanappa
Ramalingam Udhayakumar
Barakah Almarri
Ahmed M. Elshenhab
Nagarathnamma Honnappa
Source :
Mathematics, Vol 11, Iss 6, p 1287 (2023)
Publication Year :
2023
Publisher :
MDPI AG, 2023.

Abstract

The influence of the throughflow and gravity fluctuation on thermosolutal convection in an anisotropic porous bed with the Darcy–Brinkman effect is considered numerically. The critical Rayleigh numbers for the onset of stationary and oscillatory modes have been found via linear instability analysis. The impact of various gravitational functions in the presence of throughflow on stability is studied. The analysis has been carried out for decreasing and increasing gravity fluctuations. The convective problem has been numerically analyzed using a single-term Galerkin approach. The results show that the mechanical anisotropy parameter and Lewis number have a destabilizing effect, while the thermal anisotropy parameter, Darcy number, solutal Rayleigh number, throughflow parameter, and gravity parameter have a stabilizing effect on stationary and oscillatory convection. It is clear that the system changes in a way that makes it more stable for case (iii) gravity fluctuation and more unstable for case (iv) gravity fluctuation.

Details

Language :
English
ISSN :
22277390
Volume :
11
Issue :
6
Database :
Directory of Open Access Journals
Journal :
Mathematics
Publication Type :
Academic Journal
Accession number :
edsdoj.f18e14cd062b41ea9921905fdb1b4430
Document Type :
article
Full Text :
https://doi.org/10.3390/math11061287