title: Effects of porosity and mixed convection on MHD two phase fluid flow in an inclined channel.
abstract: The present study deals with the flow and heat transfer analysis of two immiscible fluids in an inclined channel embedded in a porous medium. The channel is divided in two phases such that a third grade fluid occupies the phase I and a viscous fluid occupies the phase II. Both viscous and third grade fluids are electrically conducting. A constant magnetic field is imposed perpendicular to the channel walls. The mathematical model is developed by using Darcy's and modified Darcy's laws for viscous and third grade fluids respectively. The transformed ordinary differential equations are solved numerically using a shooting method. The obtained results are presented graphically and influence of emerging parameters is discussed in detail.
authors: Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan.
authors: Jafar
authors: J
authors: Hasnain
authors: Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur, Pakistan.
authors: Zaheer
authors: Z
authors: Abbas
authors: Theoretical Physics Division, PINSTECH, P.O. Nilore, Islamabad, Pakistan.
authors: Muhammad
authors: M
authors: Sajid
mesh_terms: D018481:Convection; D004553:Electric Conductivity; D006358:Hot Temperature; D057446:Hydrodynamics; D055595:Mechanical Phenomena; D008962:Models, Theoretical; D016062:Porosity