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International Journal of Mathematical Research

February 2016, Volume 5, 2, pp 111-118

Finite Difference Method Applied to an Unsteady Magnetohydrodynamic Newtonian Fluid with Wall Slip in Darcy-Forchheimer Porous Medium

Oyelami, Funmilayo H


Jimoh, Abdulwaheed


Saka-Balogun O.Y.

Oyelami, Funmilayo H 1 ,

Jimoh, Abdulwaheed 2
Saka-Balogun O.Y. 1 
  1. Department of Mathematical and physical sciences, Afe Babalola University, Ado Ekiti, Nigeria 1

  2. Nigerian Communications Satellite Limited, Air-Port Road, Abuja, Nigeria 2

Pages: 111-118

DOI: 10.18488/journal.24/2016.5.2/

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This study investigated the effects of magnetic field, thermal radiation and wall slip on a Newtonian, incompressible, viscous fluid flowing through a saturated porous medium. Boundary conditions for slip at the wall hold in the fluid. The governing equations are formulated, simplified and non-dimensionalised. The dimensionless equations were solved with the help of Crank Nicolson’s finite difference method. This method converges faster and it is unconditionally stable. Numerical results are presented with the aid of graph to account for the fluid parameters affecting the flow on velocity and temperature profiles.

Contribution/ Originality
This study contributes in the existing literature of Newtonian fluids. Series of practical problems involves either Newtonian or non-Newtonian fluids. This study uses new estimation methodology of analyzing the heat transfer properties of Newtonian fluids. This study originates new formula for solving non-linear partial differential equations using Crank Nicolson finite difference method. This study is one of very few studies which have investigated the heat transfer in a Darcy-Forchheimer porous medium. The paper's primary contribution is finding the effects of various thermo physical parameters affecting the flow. This study documents a less well-known Darcy-Forchheimer porous medium by finding the effects of magnetic field, thermal radiation and wall slip on a Newtonian fluid in the presence of viscous dissipation.


Newtonian fluid, Wall slip, Thermal radiation, Magnetic field, Viscosity, Crank Nicolson method.



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