Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2017.315.323Marcus Nganbe IIMedardHonaJacquesNgo NyobeElisabethPemhaElkana62017176Background and Objective: Fluid flow and heat transfer between two permeable walls are used to model a variety of porous surface mechanisms ubiquitous in engineering and industry. This study deals with a numerical contribution in order to ensure a deeper understanding of phenomena of heat and mass distributions inside a rectangular, porous industrial conduct. The investigation is restricted to find a numerical solution of a two-dimensional flow driven by liquid withdrawal/addition also known as suction/injection through two parallel porous walls which are accelerated and maintained at different temperatures. Materials and Methods: By similarity transformation, the Navier-Stokes equations and the energy equation describing mass and heat distributions inside the channel are reduced to a nonlinear boundary-value problem which is solved applying a numerical integration based on the shooting method. Results: The solution of the problem is expressed in terms of velocity components, temperature and pressure gradients between two opposing permeable surfaces. Conclusion: It is found that positive wall accelerating parameters give the existence of flow reversal. Boundary layers occur inside the channel with the growth of the injection Reynolds number at a fixed positive accelerating parameter and by increasing the suction Reynolds number in the case of a fixed negative accelerating parameter. Thermal boundary layers take place within the channel when the Peclet number approaches the values of 10 and -10 at fixed positive and negative accelerating parameters, respectively.]]>Xia, Z.,2014Lim, F.Y., S. Abdullah and I. Ahmad,2010Sabeur-Bendehina, A., O. Imine and L. Adjlout,2005Jalilvand, Z., F.Z. Ashtiani, A. Fouladitajar and H. Rezaei,2014Lee, M., B. Wang, Z. Wu and K. Li,2015Berman, A.S.,1953Wageman, W.E. and F.A. Guevara,1960Tsangaris, S., D. Kondaxakis and N.W. Vlachakis,2006Griffond, J. and G. Casalis,2001Ferro, S. and G. Gnavi,2000Casalis, G., G. Avalon and J.P. Pineau,1998Deka, R.K. and H.S. Takhar,2004Moussy, Y. and A.D. Snider,2009Banks, W.H.H. and M.B. Zaturska,1992Goto, M. and S. Uchida,1990Chamkha, A.J.,1996Hossain, M.A., S. Bhowmick and R.S.R. Gorla,2006Hona, J., E.N. Nyobe and E. Pemha,2009Hona, J., E. Pemha and E.N. Nyobe,2015Hona, J., E.N. Nyobe and E. Pemha,2016Dauenhauer, E.C. and J. Majdalani,2003Fang, T. and J. Zhang,2008Brady, J.F.,1984Majdalani, J. and C. Zhou,2003Sellars, J.R.,1955Wah, T.,1964Pemha, E., J. Hona and E.N. Nyobe,2014