Modelling the Effects of Heat and Mass Transfer on Steady Two-Dimensional Hydromagnetic Flow Over an Impermeable Surface

  • I. E. Nmeburulo Department of Mathematics, University of Abuja, Abuja Nigeria.
  • M. O. Durojaye Department of Mathematics, University of Abuja, Abuja Nigeria
  • J. I. Ajie Department of Mathematics, University of Abuja, Abuja Nigeria
Keywords: Analytical solution, hydromagnetic flow, impermeable surface, steady, viscous fluid

Abstract

The role of heat and mass transfer in moving fluid is important in view of several physical problems such as those dealing with chemical reactions and those encountered with dissociating fluids. A lot of interest has been built in the study of the flow of heat and mass transfer. The aim of present investigation was to study the effects of heat and mass transfer on steady hydromagnetic boundary layer flow over an impermeable horizontal surface with ohmic and viscous heat dissipation. The model formulated taking into consideration the viscous energy dissipation. The surface is assumed to be impermeable. The governing equations formulated based on the conservation of momentum, species and energy were considered in steady state form and solved analytically using direct integration. The results obtained are presented graphically and discussed. The results revealed the effects of operating parameters on the flow and heat transfer over an impermeable surface. Our findings showed that there is a continuous increase in fluid velocity and a decrease in medium temperature along the distance while fluid velocity decreases and medium temperature increases as values of magnetic parameter and Reynolds number increases. These results might be used for interpretation or experiments planning of the more complex flow and heat transfer processes. 

Published
2023-11-04
How to Cite
Nmeburulo, I. E., Durojaye, M. O., & Ajie, J. I. (2023). Modelling the Effects of Heat and Mass Transfer on Steady Two-Dimensional Hydromagnetic Flow Over an Impermeable Surface. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 9(2), 53 - 61. Retrieved from http://ijmso.unilag.edu.ng/article/view/1964
Section
Articles