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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.



  1. A. Mehmood and Ali, "The effect of slip condition on unsteady MHD oscillatory flow of a viscous fluid in a planer channel," Rom. Journal of Physics, vol. 52, pp. 85-91, 2007.
  2. M. K. Mazumdar and R. K. Deka, "MHD flow past an impulsively started infinite vertical plate in presence of thermal radiation," Rom. Journal of Physics, vol. 52, pp. 565-573, 2007.
  3. P. Sibanda and O. D. Makinde, A mathematical introduction to incompressible flow. Harare: University of Zimbabwe Publications 2000.
  4. O. D. Makinde, B. I. Olajuwon, and A. W. Gbolagade, "Adomian decomposition approach to a boundary layer flow with thermal radiation past a moving vertical porous plate," Int. Journal of Applied Maths and Mech, vol. 3, pp. 62-70, 2007.
  5. M. Yurusoy and M. Pakdemirili, "Exact solutions of boundary layer equations of a special non-Newtonian fluid over a stretching sheet," Mechanical Research Communication, vol. 26, pp. 171-175, 1999.
  6. J. W. Marques, G. M. Kremer, and F. M. Shapiro, "Coutte flow with slip and jump boundary conditions," Continumm Mech. Thermodynam, vol. 12, pp. 379-386, 2000.
  7. A. R. A. Khaled and K. Vafai, "The effect of the slip condition on stokes and coutte flows due to an oscillating wall exact solutions," Int. J. Nonlinear Mech, vol. 39, pp. 795–809, 2004.
  8. O. D. Makinde and E. Osalusi, "MHD steady flow in a channel with slip at the permeable boundaries," Rom. J. Phys., vol. 51, pp. 319-328, 2006.
  9. N. C. Sacheti, P. Chandran, and A. K. Singh, "An exact solution for unsteady magnetohydrodynamic free convection flow with constant heat flux," Int. Commun Heat Mass Transf., vol. 21, pp. 131–142, 1994.
  10. P. Chandran, N. C. Sacheti, and A. K. Singh, "Unsteady hydromagnetic free convection flow with heat flux and accelerated boundary motion," J. Phys. Soc. Jpn., vol. 67, pp. 124–129, 1998.
  11. P. Ganesan and G. Palani, "Natural convection effects on impulsively started inclined plate with heat and mass transfer," Heat Mass Transf., vol. 39, pp. 277–283, 2003.
  12. C. Samiulhaq, I. Fetecau , A. F. Khan, and S. Shafie, "Radiation and porosity effects on the magnetohydrodynamic flow past an oscillating vertical plate with uniform heat flux," Z Naturforsch, vol. 67a, pp. 572–580, 2012.
  13. P. Chandran, N. C. Sacheti, and A. K. Singh, "Natural convection near a vertical plate with ramped wall temperature," Heat Mass Transf., vol. 41, pp. 459–464, 2005.


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