# NUMERICAL SOLUTIONS OF HEAT AND MASS TRANSFER OF MAGNETOHYDRODYNAMIC FLOW OVER A VERTICAL PLATE IN THE PRESENCE OF HEAT DISSIPATION AND THERMAL RADIATION

## DOI:

https://doi.org/10.60787/jnamp-v66-307## Keywords:

MHD Flow, 4th Order Runge-Kutta, Shooting Method## Abstract

The similarity solution is used to transform the model in form of system of partial differential equations(PDE), describing the problem into a system of coupled ordinary differential equations. The resulting governing system of ODE along with the boundary conditions are solved by fourth order Runga-Kutta shooting method implemented on Maple**. **The results are presented graphically and in tabular form and the conclusion is drawn that the embedded physical flow parameters such as magnetic parameter, chemical reactions, thermal radiations, Schmitdt number, Soret number, permeability, heat source and Prandtl have significantly influenced on flow velocity, temperature and concentration profiles.

**Views | Downloads:**59 / 22

## Downloads

## References

Sakiadis, B. C., (1961). “Boundary-Layer Behaviour on Continuous Solid Surfaces. Boundary-Layer Equations for 2-Dimensional and Axisymmetric Flow,” AIChE J. 7, 26–28.

Sakiadis, B. C., (1961) “Boundary-Layer Behaviour on Continuous Solid Surfaces. The Boundary-Layer on a Continuous Flat Plate,” AIChE J. 7, 221–225.

Aroloye, S.J and Oluwalana, E.T .(2023)Thermal radiative MHD flow, heat and mass transfer over vertical plate with internal heat generation and chemical reaction. The International Journal of Engineering and Science (IJES). Vol 12, issue 11 pp 65-75.

Deka, R. K., and Neog, B. C. (2012). MHD Free Convection Flow Past an Impulsively Started Infinite Vertical Plate With Thermal Stratification and Radiation. Volume 7: Fluids and Heat Transfer, Parts A, B, C, and D. doi:10.1115/imece2012-85961.

Srinivas, S., & Muthuraj, R. (2010). Effects of thermal radiation and space porosity on MHD mixed convection flow in a vertical channel using homotopy analysis method. Communications in Nonlinear Science and Numerical Simulation, 15(8), 2098-2108. doi:10.1016/j.cnsns.2009.09.003.

Lakshmi, R., Reddy, K. J., Krishna, K. R. and Reddy, G.V. R. (2014). Numerical Solution of MHD Flow over a Moving Vertical Porous Plate with Heat and Mass Transfer. Int. J. Chem. Sci., 12(4), pp. 1487-1499.

Krishna, M. V. and Reddy, M. G. (2018). MHD Free Convective Boundary Layer Flow through Porous Medium Past a Moving Vertical Plate with Heat Source and Chemical Reaction. Materials Today Proceedings, 5, pp. 91–98.

Balamurugan, K. S., Ramaprasad, J. L. and Varma, S. V. K. (2015). Unsteady MHD Free Convective Flow Past a Moving Vertical Plate with Time Dependent Suction and Chemical Reaction in a Slip Flow Regime. Procedia Engineering, 127, pp. 516-523.

Makinde (2010) investigated on MHD heat and mass transfer over a moving vertical plate with a convective surface boundary conditions. The Canadian Journal Of Chemical Engineering, Volume 88.

Y.I. Seini and O.D. Makinde, Hydromagnetic Flow with Dufour and Soret Effects past a Vertical Plate Embedded in Porous Media, Mathematical Theory and Modeling, 3 (12), 2013, 47 – 64.

Makinde, O. D. and A. Ogulu, (2008). “The Effect of Thermal Radiation on the Heat and Mass Transfer Flow of a Variable Viscosity Fluid Past a Vertical Porous Plate Permeated by a Transverse Magnetic Field,” Chem. Eng. Commun. 195(12), 1575– 1584

Chamkha, A. J. and A. A. Khaled, (2000). “Similarity Solutions for Hydromagnetic Mixed Convection Heat and Mass Transfer for Hiemenz Flow Through Porous Media,” Int. J. Numer. Meth.Heat Fluid Flow 10(1), 94–115

Seddeek, M. A., (2001). “Thermal Radiation and Buoyancy Effects on MHD Free Convection Heat Generation Flow Over an Accelerating Permeable Surface With Temperature DependentViscosity,” Can. J. Phys. 79, 725–732.

Postelnicu, A., (2004).“Influence of a Magnetic Field on Heat and Mass Transfer by Natural Convection From Vertical Surfaces in Porous Media Considering Soret and Dufour Effects,” Int. J. Heat Mass Transfer. 47, 1467–1472.

Makinde, O. D., (2005). “Free-Convection Flow With Thermal Radiation and Mass Transfer Past a Moving Vertical Porous Plate,” Int. Comm. Heat Mass Transfer. 32, 1411–1419.

Cortell, R., (2007). “MHD Flow and Mass Transfer of an Electrically Conducting Fluid of Second Grade in a Porous Medium Over a Stretching Sheet With Chemically Reactive Species,” Chem.Eng. Process 46, 721–728

Bataller, R. C., (2008). “Radiation Effects for the Blasius and Sakiadis Flows With a Convective Surface Boundary Condition,” Appl. Math. Comput. 206, 832–840

Rajeswari, R., B. Jothiram and V. K. Nelson, (2009). “Chemical Reaction, Heat and Mass Transfer on Nonlinear MHD Boundary Layer Flow Through a Vertical Porous Surface in the Presence of Suction,” Appl. Math. Sci. 3(50), 2469–2480.

Aziz, A., (2009). “A Similarity Solution for Laminar Thermal Boundary Layer Over a Flat Plate With a Convective Surface Boundary Condition,” Commun. Nonlinear Sci. Numer. Simulat. 14,

## Downloads

## Published

## Issue

## Section

## License

Copyright (c) 2024 The Journals of the Nigerian Association of Mathematical Physics

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

## How to Cite

*The Journals of the Nigerian Association of Mathematical Physics*,

*66*, 27-38. https://doi.org/10.60787/jnamp-v66-307