Asian Research Journal of Mathematics 3(3): 1-16, 2017; Article no.ARJOM.32734 ISSN: 2456-477X SCIENCEDOMAIN international www.sciencedomain.org MHD Pulsatile Flow Through a Porous Channel with Heat Generation Promise Mebine 1 * and Liberty Ebiwareme 2 1 Department of Mathematics and Computer Science, Niger Delta University, Wilberforce Island, Bayelsa State, Nigeria. 2 Department of Mathematics, Rivers State University of Science and Technology, Nkpolu-Oroworukwo, Port Harcourt, Rivers State, Nigeria. Author’s contribution This work was carried out in collaboration between both authors. Author PM designed the study, performed the mathematical formulations, computed the graphical illustrations, did the analyses and wrote the first draft of the manuscript and managed literature searches. Author LE proffered the solutions of the study and managed literature searches. Both authors read and approved the final manuscript. Article Information DOI: 10.9734/ARJOM/2017/32734 Editor(s): (1) Hamidah Ibrahim, Department of Computer Science, Universiti Putra Malaysia, Malaysia. Reviewers: (1) Sami Ullah Khan, International Islamic University, Pakistan. (2) P. A. Murad, Vienna, VA, USA. Complete Peer review History: http://www.sciencedomain.org/review-history/18651 Received: 13 th March 2017 Accepted: 3 rd April 2017 Original Research Article Published: 15 th April 2017 Abstract The paper considers the investigation of MHD oscillatory flow initiated by pulsatile pressure gradient in the presence of heat generation in a channel with perforated walls. Analytical solutions of the flow variables are derived from the governing set of dimensionless momentum and energy equations together with the accompanying boundary conditions via quasi-steady-state solution assumption. The results are discussed quantitatively with graphical illustrations with various physical parameters such as Magnetic, M; Heat generation, H; Free convection, Gr; phase angle or pulsation factor, Ω τ and the wall temperature ratio, m for respective Prandtl numbers,Pr =0.71 (air), Pr = 7 (water) and Pr = 21 (human blood). The results showed sensitive dependence on the parameters such that increasing Magnetic parameter, decreases maximum velocity in the channel with flow reversals seen near the centre of the channel; increasing Heat source, introduces *Corresponding author: E-mails: p.mebine@yahoo.com, pw.mebine@ndu.edu.ng;