Effects of Joule Heating and Variable Porosity on Non-Newtonian Nanofluid Flow Between Vertical Plates

Authors

  • Samson Ademola Agunbiade Department of Basic Sciences, Babcock University, Ogun State, Nigeria.
  • Timothy Lanre Oyekunle Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Nigeria.
  • Mojeed Taiwo Akolade Department of Computer Science, Lead City University, Ibadan, Nigeria.
  • Semiu Akinpelu Ayinde Department of Basic Sciences, Babcock University, Ogun State, Nigeria.
  • Uchenna Awucha Uka Department of Basic Sciences, Babcock University, Ogun State, Nigeria.
  • Christie Yemisi Ishola Department of Mathematics, National Open University of Nigeria, Abuja.
  • Funmilola Hannah Alamu-Awoniran Department of Basic Sciences, Babcock University, Ogun State, Nigeria.
  • Raufu Adekunle Raji Department of Social Sciences, Osun State Polytechnic, Ire, Nigeria.

DOI:

https://doi.org/10.63561/jmns.v2i4.1126

Keywords:

Legendre collocation method, Variable porosity, Joule heating, Nanofluid, Non-Newtonian, Free Convection

Abstract

The impacts of permeability and variable porosity on non-Newtonian nanofluid within  flat bounded plates is considered in this work. The spatial variations is emphasised in the analysis on the behaviour of the fluid with nanofluid impact resulted in complex characteristics  flow. The non-Newtonian and variable porosity reflect in the formulation of the governing equations as ordinary differential equations. The solution of these equations are obtained using Legendre collocation method which is an accurate and efficient method. The results revealed the impacts of permeability and variable porosity in the presence of joule heating on the flow, heat transfer and generally system performance providing useful insights for industrial processes dealing with non-Newtonian nanofluids particularly in a porous media. Considering comparative analysis, the results show that there is consistency with previous studies when embedded parameters are zeros.

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Published

2025-12-30

How to Cite

Agunbiade, S. A., Oyekunle, T. L., Akolade, M. T., Ayinde, S. A., Uka, U. A., Ishola, C. Y., … Raji, R. A. (2025). Effects of Joule Heating and Variable Porosity on Non-Newtonian Nanofluid Flow Between Vertical Plates. Faculty of Natural and Applied Sciences Journal of Mathematical Modeling and Numerical Simulation, 2(4), 85–97. https://doi.org/10.63561/jmns.v2i4.1126