University of Tehran Press Journal of Computational Applied Mechanics 2423-6713 48 2 2017 12 01 On the Analysis of Laminar Flow of Viscous Fluid through a Porous Channel with Suction/Injection at Slowly Expanding or Contracting Walls 319 330 63371 10.22059/jcamech.2017.239995.178 EN Gbeminiyi Musibau Sobamowo Department of Mechanical Engineering, University of Lagos, Nigeria Journal Article 2017 08 18 The vast biological and industrial applications of laminar flow of viscous fluid through a porous channel with contracting or expanding permeable wall have attest to the importance of studying the flow process. In this paper, two-dimensional flow of viscous fluid in a porous channel through slowly expanding or contracting walls with injection or suction is analyzed using variation parameter method. From the parametric studies using the developed approximate analytical solutions, it is shown that increase in the Reynolds number of the flow process leads to decrease in the axial velocity at the center of the channel during the expansion. The axial velocity increases slightly near the surface of the channel when the wall contracts at the same rate. Also, as the wall expansion ratio increases, the velocity at the center decreases but it increases near the wall. The results of the approximate analytical solution are verified by numerical solution using shooting method coupled with Runge-Kutta method. The results of the variation parameter method are in excellent agreement with the results obtained using numerical method. https://jcamech.ut.ac.ir/article_63371_18bc14e0b8e8ed812cf11022db097e92.pdf