Studies concerning induced heat transfer by the condensation in forced convection of a thin film of a saturated vapor in medium porous, have received particular attention because of their numerous applications in various fields of technology. Thus, the presence of a layer of porous material on a plane wall generates an increase in heat transfer compared with that observed for a flat plate, subject to the same aeraulic and thermal conditions. This prompted us, given the large field of applications, to develop this research theme. It is therefore a question of studying the influence of the parameters governing the problem and the results that we would obtain allowing us to better quantify their effects and their importance in the thin-film flows. But unlike other authors and given the ranges of the chosen parameters, we retain a modified Wooding formulation in which the diffusion effects of the fluid are taken into account with an equally effective viscosity to the viscosity of the fluid. The advective term is maintained in the conservation equation of the momentum because one of our motivations is to study transfers and flow structures in a medium saturated by a binary fluid and entirely or partially porous. In this paper, the author has highlighted the effect of porosity on the velocity, temperature, the adimensionless thickness of the liquid film and the Nusselt number. The results of this study show that: the reduced porosity causes an increase in velocity, the adimensionless thickness of the liquid film and the Nusselt number. She (porosity) does not affect the variation of the adimensionless longitudinal temperature.
Cite this paper
Ndiaye, M. , Sène, M. , Ndiaye, G. and Mané, M. S. (2022). Effect of Porosity on the Laminar Condensation Type Thin Film on a Vertical Wall in Forced Convection. Open Access Library Journal, 9, e8828. doi: http://dx.doi.org/10.4236/oalib.1108828.
Chang, T.B. and Wang, F.J. (2009) An Analytical Investigation into Film Wise Condensation on a Horizontal Tube in a Porous Medium with Suction at the Tube Surface. Heat and Mass Transfer, 45, 355-361.
https://doi.org/10.1007/s00231-008-0436-y
Zhulev, Yu.G. and Kosarenkov, V.A. (1968) Theoretical Investigation of Laminar Film Condensation of a Saturated Vapor Flow over an Isothermal Surface. Journal of Engineering Physics and Thermophysics, 15, 897-899.
https://doi.org/10.1007/BF00826667
Nagendra, H.R. (1973) Effect of Inclination on Laminar Film Condensation. Flow, Turbulence and Combustion, 28, 261-277. https://doi.org/10.1007/BF00413072
Chang, T.B. and Wang, F.J. (2008) Nusselt Number and Entropy Generation Rate of Film Condensation on a Horizontal Plate. Journal of Mechanical Science and Technology, 22, 2134-2141. https://doi.org/10.1007/s12206-008-0802-1
Asbik, M., Chaynane, R., Boushaba, H., Zeghmati, B. and Khmou, A. (2003) Vertical Porous-Layer Coated Surface. Heat and Mass Transfer, 40, 143-155.
https://doi.org/10.1007/s00231-002-0406-8
Hill, A.A. (2007) Unconditional Nonlinear Stability for Convection in a Porous Medium with Vertical through Flow. Acta Mechanica, 193, 197-206.
https://doi.org/10.1007/s00707-007-0473-5
Avramenko, A.A., Kuznetsov, A.V., Basok, B.I. and Blinov, D.G. (2005) Investigation of Stability of a Laminar Flow in a Parallel-Plate Channel Filled with a Fluid Saturated Porous Medium. Physics of Fluids, 17, Article ID: 094102.
https://doi.org/10.1063/1.2041607
Lage, J.L., Krueger, P.S. and Narasimhan, A. (2005) Protocol for Measuring Permeability and Form Coefficient of Porous Media. Physics of Fluids, 17, Article ID: 088101. https://doi.org/10.1063/1.1979307
Kim, Y.J. (2001) Unsteady Convection Flow of Micropolar Fluids past a Vertical Plate Embedded in a Porous Medium. Acta Mechanica, 148, 105-116.
https://doi.org/10.1007/BF01183672
Sammouda, M., Gueraoui, K., Driouich, M., Ghouli, A. and Dhiri, A. (2013) Double Diffusive Natural Convection in Non-Darcy Porous Media with Non-Uniform Porosity. International Journal on Heat and Mass Transfer: Theory and Applications, 1, 1021-1030.