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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v20.i5.10
pages 381-388

CONVECTIVE INSTABILITY IN A THROUGHFLOW IMPOSED HEAT GENERATING POROUS MEDIUM WITH A GRAVITY GRADIENT

S. Saravanan
UGC-DRS Center for Fluid Dynamics, Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India
N. Raja
Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamil Nadu, India

ABSTRACT

A dispersion model involving a fluid-saturated porous medium heated from below is considered in the presence of a varying gravity field. The medium admits volumetric heat sources and a vertical throughflow across its boundaries. The onset of convective instability is discussed for two types of hydrodynamic boundary conditions. Numerical solutions to the resulting differential system are obtained through the shooting method. Results show that increased gravity level along the height always destabilizes the system irrespective of the other factors, whereas the presence of heat generation leaves opposing effects depending on the magnitudes of the throughflow and gravity gradient.


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