Transient MHD Boundary-Layer Slip-Flow of Heat and Mass Transfer Over a Stretching Surface Embedded in Porous Medium with Waste Discharge Concentration and Convective Boundary Conditions
Applied and Computational Mathematics
Volume 3, Issue 5, October 2014, Pages: 247-255
Received: Sep. 11, 2014; Accepted: Sep. 22, 2014; Published: Oct. 20, 2014
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Authors
Adetunji Adeniyan, Department of Mathematics, University of Lagos, Akoka, Yaba, Lagos State, Nigeria
Joshua Aanuoluwapo Adigun, Department of Physical Sciences, Bells University of Technology, Ota, Ogun State, Nigeria
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Abstract
The transient two-dimensional MHD boundary-layer stagnation point flow with heat and mass transfer in a saturated porous medium is presented here by taking into account the transient dispersion of a pollutant spewed by an external source in the presence of a uniform transverse magnetic field and stress (pressure) work. The laminar flow of viscous incompressible and electrically conducting fluid encompassing a convectively heated stationary permeable sheet is assumed to be described in terms of Darcian law. The nonlinear governing partial differential equations obtained are converted into ordinary differential equations by means of appropriate similarity transformations and consequently solved numerically using the forth order Runge-Kutta method with a shooting technique and depicted graphically for some pertinent values of the physical parameters embedded in the flow model. In addition, the skin-friction coefficient, the heat and pollution mass concentration rates are sorted out in tabular form, analyzed and discussed. We opine that findings of this present study will be found useful for environmental systems in pollution control and ventilation, and serve as complementary reference for researchers.
Keywords
Forced Convection, Permeable Sheet, Porous Medium, Pollutant Concentration, Magnetohydrodynamics, Convective Boundary Condition
To cite this article
Adetunji Adeniyan, Joshua Aanuoluwapo Adigun, Transient MHD Boundary-Layer Slip-Flow of Heat and Mass Transfer Over a Stretching Surface Embedded in Porous Medium with Waste Discharge Concentration and Convective Boundary Conditions, Applied and Computational Mathematics. Vol. 3, No. 5, 2014, pp. 247-255. doi: 10.11648/j.acm.20140305.19
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