Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
Journal of Porous Media

Impact factor: 1.035

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

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

Journal of Porous Media

DOI: 10.1615/JPorMedia.v14.i1.60
pages 73-79

UNSTEADY BUOYANCY-DRIVEN THERMAL CONVECTION IN A NON-DARCIAN POROUS MEDIUM VERTICAL CHANNEL WITH ASYMMETRIC HEATING/COOLING

Joaquin Zueco
Thermal Engineering. and Fluids Departament. Technical University of Cartagena. Campus Muralla del Mar. Cartagena 30203. Spain
O. Anwar Beg
Fluid Mechanics, Bio-Propulsion and Nanosystems, Aeronautical and Mechanical Engineering Division, Room UG17, Newton Building, University of Salford, M54WT, United Kingdom
Harmindar S. Takhar
Engineering Department, Manchester Metropolitan University, Oxford Rd., Manchester, M15GD, UK

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.