Effects of Temperature Fluctuations on Darcy-Forchheimer Flow of Oil-Based Nanofluid with Activation Energy and Velocity Slip

  • Christian John Etwire Department of Mathematics, School of Mathematical Sciences, CK Tedam University of Technology and Applied Sciences, P.O. Box 24, Navrongo, UER, Ghana
  • Ibrahim Yakubu Seini Department of Mechanical & Industrial Engineering, School of Engineering, University for Development Studies, P.O. Box 1882, Tamale, Ghana
  • Rabiu Musah Department of Physics, School of Engineering, University for Development Studies, P.O. Box 1882, Tamale, Ghana
  • Oluwole Daniel Makinde Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South Africa
DOI: https://doi.org/10.34198/ejms.11123.115143
Keywords: Darcy-Forchheimer, velocity slip, dielectric, temperature jump

Abstract

The effects of fluctuating temperature on Darcy-Forchheimer flow of oil-based nanofluid with activation energy and velocity slip has been analyzed. Similarity transformation was used to transform the governing partial differential equations into coupled nonlinear ordinary differential equations and solved numerically with the aid of the fourth order Runge-Kutta algorithm with a shooting technique. Results for the embedded parameters controlling the flow dynamics have been tabulated and illustrated graphically. The slip velocity parameter was found to enhance the Nusselt number but depleted both the skin friction coefficient and Sherwood number while the local inertial was noted to increase both the skin friction coefficient and Sherwood number but diminishes the Nusselt number. These results indicate that the velocity slip parameter and local inertial coefficient can be used to control flow characteristics in industrial and engineering systems.

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Published
2022-09-14
How to Cite
Etwire, C. J., Seini, I. Y., Musah, R., & Makinde, O. D. (2022). Effects of Temperature Fluctuations on Darcy-Forchheimer Flow of Oil-Based Nanofluid with Activation Energy and Velocity Slip. Earthline Journal of Mathematical Sciences, 11(1), 115-143. https://doi.org/10.34198/ejms.11123.115143
Issue
Vol 11 No 1 (2023)
Section
Articles


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