International Journal of Heat and Mass Transfer, Vol.53, No.9-10, 2294-2310, 2010
Modeling of unsteady and steady fluid flow, heat transfer and dispersion in porous media using unit cell scale
A unit cell scale Computation of laminar steady and unsteady fluid flow and heat transfer is presented for a spatially periodic array of square rods representing two-dimensional isotropic or anisotropic porous media In the model, a unit cell is taken as a representative elementary control volume and uniform heat flux boundary conditions are imposed on the solid-fluid interface. The governing equations are discretized by means of the finite volume approach: boundaries between adjacent cells are taken to be spatially periodic. Computations obtained using the SIMPLER algorithm, are made by varying the macroscopic flow direction from 0 degrees to 90 degrees relative to the unit cell, and varying the Reynolds number over the range 1-10(3) spanning the Darcian and the inertial flow regimes to construct a database of local flow and heat transfer resistances in terms of permeabilities, inertial coefficients, Nusselt numbers, and thermal dispersion coefficients. The resulting database is utilized in a system scale analysis of a serpentine heat exchanger. where these directional terms from the microscale analysis provide closure to the porous-continuum model (C) 2009 Elsevier Ltd All rights reserved.