Conjugate mixed convection laminar non-Darcy ®lm condensation along a vertical plate in a porous medium Ming-I. Char a,* , Jin-Dain Lin a , Han-Taw Chen b a Department of Applied Mathematics, National Chung Hsing University, Taichung, 402, China b Department of Mechanical Engineering, National Cheng Kung University, Tainan, 701, China Received 23 February 2000; accepted 10 May 2000 Communicated by E.S. S ßUHUB _ I) Abstract This study numerically investigates the coupling of the wall conduction with laminar mixed-convection ®lm condensation along a vertical plate within a saturated vapor porous medium. The Darcy±Brinkman± Forchheimer model is utilized to treat the ¯ow ®eld and the eect of heat conduction across the wall is taken into account. The governing system of equations with their corresponding boundary conditions are ®rsttransformedintoadimensionlessformbyanon-similartransformationandtheresultingequationsare thensolvedbythecubicsplinecollocationmethod.Ofinterestaretheeectsoftheconjugateheattransfer parameter A, the Jakob number Ja, the Peclet number Pe and the inertia parameter C on the ¯uid±solid interfacial temperature distribution and the local heat transfer rate. The results indicate that the eect of wallconductionhasgreatin¯uencesonthe®lmwisecondensationheattransfer,andistoreducethelocal heat transfer rate as well as the dimensionless interfacial temperature in comparison with the isothermal plate case. It is found that the local heat transfer rate increases with a decrease in the Jakob number, the Peclet number, and the inertial parameter or an increase in the conjugate heat transfer parameter. In ad- dition, the overall surface heat transfer rate for dierent values of A and Ja are also obtained. Ó 2001 Elsevier Science Ltd. All rights reserved. 1. Introduction The problem of mixed convection condensation phenomena in a porous medium occurs in various ®elds of science and engineering. Common examples are heat and ¯uid ¯ow for some www.elsevier.com/locate/ijengsci International Journal of Engineering Science 39 2001) 897±912 * Corresponding author. Tel.: +886-4-2861030; fax: +886-4-2873028. E-mail address: michar@amath.nchu.edu.tw M.-I. Char). 0020-7225/01/$ - see front matter Ó 2001 Elsevier Science Ltd. All rights reserved. PII:S0020-722500)00074-4