Non-Darcy fully developed mixed convection in a porous medium channel with heat generation/absorption and hydromagnetic effects

Journal Article · Thu Nov 06 23:00:00 EST 1997 · Numerical Heat Transfer. Part A, Applications

DOI:https://doi.org/10.1080/10407789708913911· OSTI ID:596797

Chamkha, A J ^[1]

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1. Kuwait Univ., Safat (Kuwait). Dept. of Mechanical and Industrial Engineering

Volume-averaged equations are developed governing steady, laminar, fully developed, hydromagnetic mixed convection non-Darcian flow of an electrically conducting and heat-generating/absorbing fluid in a channel embedded in a uniform porous medium. Proper dimensionless parameters are employed for various thermal boundary conditions on the left and right walls of the channel prescribed as isothermal-isothermal, isothermal-isoflux, and isoflux-isothermal. Analytical expressions for the velocity and the temperature profiles in the channel as well as for the mass flow rate, friction factor, and heat carried out by the fluid in the channel are developed for special cases of the problem. Conditions for the occurrence of fluid backflow zones are reported. The fully nonlinear governing equations are solved numerically by an implicit finite difference method. Favorable comparisons with the developed analytical results and previously published work are performed. Graphical results of the closed-form and numerical results are reported for various parametric conditions to illustrate special features of the solution. Mixed convection flow of an electrically conducting and heat-generating/absorbing fluid in a porous medium channel in the presence of a magnetic field is of special technical significance because of its frequent occurrence in many industrial applications such as geothermal reservoirs, cooling of nuclear reactors, thermal insulation, and others.

• Sponsoring Organization: USDOE
• OSTI ID: 596797
• Journal Information: Numerical Heat Transfer. Part A, Applications, Journal Name: Numerical Heat Transfer. Part A, Applications Journal Issue: 6 Vol. 32; ISSN NHAAES; ISSN 1040-7782
• Country of Publication: United States
• Language: English

Related Subjects

15 GEOTHERMAL ENERGY
22 GENERAL STUDIES OF NUCLEAR REACTORS
32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION
42 ENGINEERING
COMPARATIVE EVALUATIONS
FINITE DIFFERENCE METHOD
FLUID MECHANICS
FORCED CONVECTION
GEOTHERMAL SYSTEMS
NATURAL CONVECTION
NONLINEAR PROBLEMS
POROUS MATERIALS
REACTOR COOLING SYSTEMS
THERMAL INSULATION
USES