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多孔介质期刊
影响因子: 1.49 5年影响因子: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v18.i12.70
pages 1239-1249

ON DOUBLE-DIFFUSIVE HADLEY FLOW IN MAXWELL FLUIDS THROUGH A HORIZONTAL POROUS LAYER

Anjanna Matta
Department of Mathematics, Faculty of Science and Technology, IFHE University, Hyderabad Telangana, India - 501203
P. A. Lakshmi Narayana
Department of Mathematics, Indian Institute of Technology Hyderabad, Hyderabad - 502205, Telangana, India

ABSTRACT

The present study deals with the effect of stress relaxation on the mechanism of instability of the double-diffusive Hadley flow through a shallow horizontal layer of a porous medium induced by thermal and solutal gradients inclined to the vertical by means of linear stability analysis. The Hadley flow which is set up by the horizontal components of these gradients becomes unstable when vertical components are sufficiently large and this instability is analyzed using three-dimensional normal modes. The vertical thermal Rayleigh number is treated as the eigenvalue. The system that constitutes the eigenvalue problem is solved by using a two-term Galerkin approximation for various modes of instability. The detailed analysis is carried out for both the stationary and oscillatory modes. Results are presented for various values of the governing parameters of the flow. It is observed that the stress relaxation parameter has a significant role in convective instability.


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