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

Authors

  • Oyelami Funmilayo H Department of Mathematical and physical sciences, Afe Babalola University, Ado Ekiti, Nigeria
  • Jimoh Abdulwaheed Nigerian Communications Satellite Limited, Air-Port Road, Abuja, Nigeria
  • Saka-Balogun O.Y Department of Mathematical and physical sciences, Afe Babalola University, Ado Ekiti, Nigeria

DOI:

https://doi.org/10.18488/journal.24/2016.5.2/24.2.111.118

Abstract

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.

Keywords:

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

Abstract Video

Published

2016-05-20

How to Cite

Funmilayo H, O., Abdulwaheed, J., & O.Y, S.-B. . (2016). Finite Difference Method Applied to an Unsteady Magnetohydrodynamic Newtonian Fluid with Wall Slip in Darcy-Forchheimer Porous Medium. International Journal of Mathematical Research, 5(2), 111–118. https://doi.org/10.18488/journal.24/2016.5.2/24.2.111.118

Issue

Vol. 5 No. 2 (2016)

Section

Articles