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Journal of Porous Media
Импакт фактор: 1.49 5-летний Импакт фактор: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Печать: 1091-028X
ISSN Онлайн: 1934-0508

Выпуски:
Том 22, 2019 Том 21, 2018 Том 20, 2017 Том 19, 2016 Том 18, 2015 Том 17, 2014 Том 16, 2013 Том 15, 2012 Том 14, 2011 Том 13, 2010 Том 12, 2009 Том 11, 2008 Том 10, 2007 Том 9, 2006 Том 8, 2005 Том 7, 2004 Том 6, 2003 Том 5, 2002 Том 4, 2001 Том 3, 2000 Том 2, 1999 Том 1, 1998

Journal of Porous Media

DOI: 10.1615/JPorMedia.v10.i2.50
pages 175-188

Thermal Modulation of Raleigh-Benard Convection in a Sparsely Packed Porous Medium

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

Краткое описание

The linear stability of thermal convection in a horizontal layer of fluid-saturated porous medium, confined between two rigid boundaries, is studied for temperature modulation using the Brinkman model with effective viscosity larger than the fluid viscosity. The temperature field between the walls of the porous layer consists of two parts; a steady part and a time-dependent part that varies periodically. The combined effect of permeability and modulation of the walls' temperature on the stability of flow through a porous medium has been investigated using the Galerkin method and Floquet theory. The critical Rayleigh number is calculated as a function of amplitude and frequency of modulation, porous parameter, viscosity ratio, and Prandtl number. It is found that the permeability has a stabilizing influence on the onset of thermal instability. Furthermore, it is also found that it is possible to advance or delay the onset of convection by proper tuning of the frequency of modulation of the walls' temperature. The effects of other parameters are also discussed.


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