MHD Natural Convection over a Vertical Wedge in a Darcy–Forchheimer Porous Medium


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Authors

  • Mohammed Ibrahim Matar University of Mosul
  • Saddam Atteyia Mohammad University of Mosul

Keywords:

Magnetohydrodynamics (MHD), Natural Convection, Vertical Wedge, Heat And Mass Transfer

Abstract

This study addresses heat and mass transfer under magnetohydrodynamic convection over a
vertical wedge submerged in a porous medium. The governing equations were non-dimensionalized and
solved numerically using the finite difference method. The effects of several physical parameters were
investigated, including the power-law index, inertia coefficient, buoyancy ratio, Lewis number, thermal
gradient coefficient, and Hartmann number, on velocity, temperature, concentration, and Nusselt and
Sherwood numbers. The results showed that increasing the buoyancy ratio enhances heat and mass transfer,
while increasing the inertia coefficient and Hartmann number reduces them. The results were validated by
comparing them with the Darcy case, where the error percentage was 0.045%, confirming the accuracy of
the numerical model.

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Author Biographies

Mohammed Ibrahim Matar, University of Mosul

Mechanical Engineering, Mosul Iraq

Saddam Atteyia Mohammad, University of Mosul

Mechanical Engineering, Mosul Iraq

References

Su Y., Davidson J. (2015), “Modeling approaches to natural convection in porous media”. Springer.‏

Bear, J. (2013), “Dynamics of fluids in porous media”. Courier Corporation.‏

Kumari M., Pop I., Nath G. (1985). “Non-Darcy natural convection from a heated vertical plate in saturated porous media with mass transfer”. International communications in heat and mass transfer, 12(3), 337-346.‏

Murthy N., Singh P. (1997). “Effect of viscous dissipation on a non-Darcy natural convection regime”. International journal of heat and mass transfer, 40(6), 1251-1260.‏

Prasad V., Kladias N. (1991). “Non-Darcy natural convection in saturated porous media”. In Convective Heat and Mass transfer in porous media (pp. 173-224). Dordrecht: Springer Netherlands.‏

Nield A., Bejan A. (2006). “Convection in porous media” (Vol. 3). New York: springer.

Chamkha A. J. (2004). "Unsteady MHD convective heat and mass transfer past a semi-infinite vertical permeable moving plate with heat absorption". International journal of engineering science, 42(2), 217-230.‏

Bergman T. L. (2011). “Fundamentals of heat and mass transfer". John Wiley, Sons.‏

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Published

2026-03-10

How to Cite

Matar, M. I., & Mohammad, S. A. (2026). MHD Natural Convection over a Vertical Wedge in a Darcy–Forchheimer Porous Medium . International Journal of Advanced Natural Sciences and Engineering Researches, 10(3), 55–62. Retrieved from https://as-proceeding.com/index.php/ijanser/article/view/3070

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