The effect of thermal dispersion on free convection film condensation on a vertical plate with a thin porous layer

Abstract

An analytical solution to the problem of condensation by natural convection over a thin porous substrate attached to a cooled impermeable surface has been conducted to determine the velocity and temperature profiles within the porous layer, the dimensionless thickness film and the local Nusselt number. In the porous region, the Darcy-Brinkman-Forchheimer (DBF) model describes the flow and the thermal dispersion is taken into account in the energy equation. The classical boundary layer equations without inertia and enthalpy terms are used in the condensate region. It is found that due to the thermal dispersion effect, the increasing of heat transfer is significant. The comparison of the DBF model and the Darcy-Brinkman (DB) one is carried out.

Effects of Prandtl and Jacob numbers and dimensionless thermal conductivity on the hydrodynamic field

“…The convergence criterion is fixed at 10-6. To validate our model, we compared the results of Asbik et al [1][2][3][4] with those from our computer code in which the inertia terms have been omitted. We find that the match is acceptable.…”

A Three-Dimensional Homogenization Approach for Effective Heat Transport in Thin Porous Media

“…Especially in the latter field, many porous components have a thin shape (see, e.g., Belgacem et al 2016, Michaud 2016, where filters, fuel cells and membranes count among typical examples. A thin porous layer is often part of composite materials (see, e.g., Asbik et al 2006). For a porous medium where grains and the saturating fluid are under local thermal equilibrium, the effective heat conductivity of the porous medium characterizes the medium's ability to transport heat via conduction.…”

Effects of Froude, Reynolds and Prandtl numbers on the thermal field

“…It is particularly well developed in recent years and has been the subject of numerous experimental and numerical studies. Asbik M. and his collaborators [1][2][3][4] were interested in an analytical and numerical study of the condensation by forced convection of a laminar film on a vertical porous layer and on an 313 JCBPS; Section C; August 2022 to October 2022, Vol. 12, No.…”