Research Article

Thermal Transport of Forchheimer Nanofluid Flow with Permeable Medium and Optimal Internal Heat Source/Sink

Authors

  • Uchenna Uka Department of Basic Sciences, School of Science and Technology, Babcock University, PMB 4003, Ilishan-Remo, Nigeria.
  • Richmond Kanu Department of Basic Sciences, School of Science and Technology, Babcock University, PMB 4003, Ilishan-Remo, Nigeria.
  • Okechukwu Amadi Department of Mathematics, Ignatius Ajuru University of Education, Rumuolumeni, Port-Harcourt, Nigeria.
  • Adedeji Akindadelo Department of Basic Sciences, School of Science and Technology, Babcock University, PMB 4003, Ilishan-Remo, Nigeria.
  • Oludare Bamisile Department of Basic Sciences, School of Science and Technology, Babcock University, PMB 4003, Ilishan-Remo, Nigeria.

Abstract

This study x-rays the analysis of convection heat transport of hydromagnetic Forchheimer nanofluid flow in the presence of an ideal internal heat source/sink. A similarity tactic is followed by translating the partial differential models into coupled nonlinear ordinary differential equations. The application of the improved series scheme made it possible for the solution to the translated problems to be found. Pictorial developments such as graphs with legends have been gotten by adopting the Wolfram Mathematica package for the sake of understanding the behavioral pattern of flow, temperature, and specie (nanoparticle) concentrations due to the influence of fluid parameters on them. Results demonstrated that an increase in flow and temperature occurs as buoyancy effect, and optimal heat generation number rises. Intensification of Prandtl number leads to a drop in the flow rate and temperature just as the concentration distribution declines for . The impact of fluid parameters on skin friction was also considered.

Article information

Journal

Journal of Mathematics and Statistics Studies

Volume (Issue)

3 (2)

Pages

18-30

Published

2022-10-03

How to Cite

Uka, U., Kanu, R., Amadi, O., Akindadelo, A., & Bamisile, O. (2022). Thermal Transport of Forchheimer Nanofluid Flow with Permeable Medium and Optimal Internal Heat Source/Sink. Journal of Mathematics and Statistics Studies, 3(2), 18–30. https://doi.org/10.32996/jmss.2022.3.2.2

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Keywords:

Heat generation/absorption, Forchheimer Nanoliquid, Porous medium, Natural Convection, Series approach, Hydromagnetic