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Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.277 SNIP: 0.52 CiteScore™: 1.3

ISSN Печать: 2151-4798
ISSN Онлайн: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

DOI: 10.1615/SpecialTopicsRevPorousMedia.2019016040
pages 323-338

AN ANALYTICAL STUDY OF HEAT AND MASS TRANSPORT IN BÉNARD−DARCY CONVECTION WITH G-JITTER AND VARIABLE VISCOSITY LIQUIDS IN POROUS MEDIA

Alok Srivastava
Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, India
Beer S. Bhadauria
Department of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, India; Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, India
Ajay Singh
Department of Mathematics, School of Physical and Decision Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow-226025, India

Краткое описание

This research article deals with the thermorheological effect of temperature dependent viscous fluid in the presence of imposed time periodic gravity modulation. We perform weak non-linear analysis of gravity modulation with temperature dependent viscosity using the power series expansion in terms of the amplitude of gravity modulation, which is considered to be small for double-diffusive convection in porous media. Nusselt number and Sherwood number are calculated numerically through the non-autonomous equation involving amplitude of convection using Ginzburg−Landau equation. We explore the non-linear effect of solute Rayleigh number, Lewis number, Vadász number, thermorheological parameter and amplitude of gravity modulation analytically. The curve for heat and mass transfer with respect to slow time variation is depicted graphically. Furthermore we also draw streamlines, isotherms, and isohalines at different times.

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