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

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 numb...

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Bibliographic Details
Published in:Transport in porous media 2007-04, Vol.67 (3), p.335-352
Main Authors: ASBIK, M, ZEGHMATI, B, LOUAHLIA-GUALOUS, H, YAN, W. M
Format: Article
Language:English
Subjects:
Boundary layer equations
Computational fluid dynamics
Condensation
Convection cooling
Dispersion
Earth sciences
Earth, ocean, space
Engineering and environment geology. Geothermics
Engineering Sciences
Environmental Sciences
Exact sciences and technology
Exact solutions
Film condensation
Fluid flow
Free convection
Hydrocarbons
Hydrogeology
Hydrology. Hydrogeology
Materials
Physics
Pollution, environment geology
Reactive fluid environment
Sedimentary rocks
Substrates
Temperature profiles
Thickness
Viscosity
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Summary: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 enthalpyterms 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.
ISSN:0169-3913
1573-1634
DOI:10.1007/s11242-006-9028-9