Analysis of a Steady Magnetohydrodynamic (MHD) Flow of a Convective Third Grade Fluid in a Constrained Geometry
1 Department of Mathematics, Federal University of Technology, PMB 65, Minna, Nigeria.
2 Department of Mathematics & Computer, Ibrahim Badamasi Babangida University Lapai, Niger State, Nigeria
* Corresponding author: ijuola2020@yahoo.com
2 Department of Mathematics & Computer, Ibrahim Badamasi Babangida University Lapai, Niger State, Nigeria
* Corresponding author: ijuola2020@yahoo.com
Abstract
This paper presents magnetohydrodynamic (MHD) flow of steady convective third-grade fluid in a constrained geometry. The non-linear governing equations were solved analytically.using homotopy perturbation method (HPM). The influences of dimensionless parameters on magnetohydrodynamic (MHD) flow of a convective third-grade fluid in a constrained geometrywere investigated. Simulation results revealed that temperature and velocity depend on the values of the combination of magnetic field and porosity. The obtained results are presented graphically and discussed. It is observed that velocity decreases and increases with increasing magnetic field and porosity, temperature increases as magnetic field increases.
Keywords
Magnetohydrodynamic
Convective third grade. Homotopy perturbation Method.
How to Cite
M, A. Y., M., J., O., O. R., & Wachin, A. A. (2016). Analysis of a Steady Magnetohydrodynamic (MHD) Flow of a Convective Third Grade Fluid in a Constrained Geometry. Nigerian Journal of Mathematics and Applications, 25(1), 217-225.
A. Y. M, J. M., O. R. O., and A. A. Wachin, "Analysis of a Steady Magnetohydrodynamic (MHD) Flow of a Convective Third Grade Fluid in a Constrained Geometry," Nigerian Journal of Mathematics and Applications, vol. 25, no. 1, pp. 217-225, June 2016.
