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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.v14.i10.50
pages 893-905

STEADY MIXED CONVECTION FLOW IN A LID-DRIVEN SQUARE ENCLOSURE FILLED WITH A NON-DARCY FLUID-SATURATED POROUS MEDIUM WITH INTERNAL HEAT GENERATION

Mahesh Kumari
Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India
Girishwar Nath
Professor S. K. Sinha, KNIT Campus, IV/17, KNIT, Sultanpur 228118, India

ABSTRACT

Steady state two-dimensional mixed convection flow in a square cavity filled with a non-Darcy fluid-saturated porous medium with internal heat generation is investigated numerically. The two vertical surfaces of the square enclosure are adiabatic and the horizontal surfaces are kept at constant temperature where the top surface is moving with constant velocity. The Navier-Stokes equations and the energy equation governing the mixed convection flow are nondimensionalized and then solved by using the penalty finite element method with bi-quadratic square elements. The flow and heat transfer are strongly influenced by the Richardson number. The porous medium within the cavity is not a real force but expressed via friction which induces a force opposite to the flow direction that resists the motion. This results in a reduction in the thermal currents of the flows.


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