Stagnation-Point Flow of Magneto-Williamson Nanofluid over a Stretching Material with Ohmic Heating and Entropy Analysis

  • Ephesus Olusoji Fatunmbi Department of Mathematics and Statistics, Federal Polytechnic, Ilaro, Nigeria.
  • Fazle Mabood Department of Information Technology, Fanshawe College London, ON Canada.
  • Adetunji Adeniyan Department of Mathematics, University of Lagos, Nigeria.
Keywords: Porous medium;, Entropy generation;, Thermophoresis, Stagnation-point flow, Williamson fluid

Abstract

This study communicates stagnation-point flow in magneto-Williamson nanofluid along a convectively heated nonlinear stretchable material in a porous medium. The impacts of Joule heating, thermophoresis together with Brownian motion are also checked in this investigation. In addition, thermodynamic second law is applied to develop entropy generation analysis of crucial parameters with identification of parameters capable of minimizing energy loss in the system. The transport equations are simplified into ordinary differential equations and then integrated numerically using Runge-Kutta-Fehlberg with shooting technique. The effects of the emerging parameters on the dimensionless velocity, temperature, concentration and entropy generation number are publicized through tables and graphs with appropriate discussions. In
the limiting conditions, the results are found to conform accurately with published studies in the literature. It is found that the viscous drag can be reduced by lowering the magnitude of Weissenberg number, magnetic field and Darcy parameters while heat transfer at the surface improves in the presence of surface convection, temperature ratio and thermal radiation parameters. Besides, the analysis reveals that entropy generation can be minimized by lowering the magnitude of magnetic field, Schmidt number and surface convection parameters. The reduction in these parameters will promote efficient performance of thermal devices. More so, the results obtained in this study can be useful for the construction of appropriate thermal devices for use in energy and electronic devices. 

Published
2021-10-23
How to Cite
Fatunmbi, E. O., Mabood, F., & Adeniyan, A. (2021). Stagnation-Point Flow of Magneto-Williamson Nanofluid over a Stretching Material with Ohmic Heating and Entropy Analysis. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 7(1), 131 - 145. https://doi.org/10.52968/28306841
Section
Articles