Unsteady buoyancy-driven thermal convection in a non-Darcian porous medium vertical channel with asymmetric heating/cooling

ZUECO, Joaquin, BEG, Osman and TAKHAR, Harmindar S. (2011). Unsteady buoyancy-driven thermal convection in a non-Darcian porous medium vertical channel with asymmetric heating/cooling. Journal of Porous Media, 14 (1), 73-79.

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Abstract

A mathematical model is presented for the transient free convection flow of a viscous, incompressible, Newtonian fluid in a parallel-plate channel configuration containing an isotropic, homogenous, non-Darcian porous material with asymmetric cooling/heating of the plates. The governing unsteady partial differential equations are formulated in an (X,Y) coordinate system and obtained from the Navier-Stokes model. Using a set of transformations, these equations with appropriate boundary conditions are rendered into a set of second-order, nonlinear (momentum), and linear (energy) partial differential equations in terms of single independent spatial variable y and dimensionless time τ The unsteady coupled flow problem is solved using the network simulation method and the PSPICE algorithm database. The model finds applications in nuclear thermo-convection, cooling of electronic components, thermal power plant, ocean thermal energy conversion, etc.

Item Type:	Article
Research Institute, Centre or Group:	Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Identification Number:	10.1615/JPorMedia.v14.i1.60
Depositing User:	Helen Garner
Date Deposited:	14 Sep 2011 15:41
Last Modified:	14 Sep 2011 15:41
URI:	http://shura.shu.ac.uk/id/eprint/3886

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