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Viscous dissipation effect on steady natural convection Couette flow with convective boundary condition

  • Abiodun O. Ajibade and Tafida M. Kabir EMAIL logo
Published/Copyright: January 12, 2022

Abstract

The present article explores the effect of viscous dissipation on steady natural convection Couette flow subject to convective boundary condition. Due to the nonlinearity and coupling of the governing equations in the present situation, the homotopy perturbation method was employed to obtain the solutions of the energy and momentum equations. The impacts of the controlling parameters were investigated and discussed graphically. In the course of investigation, it was found that fluid temperature increases with an increase in viscous dissipation while the reverse trend was observed in fluid velocity. However, it was also discovered that heat generation leads to a decrease in the rate of heat transfer on the heated plate and it increases on the cold plate. Finally, it was concluded that the velocity boundary layer thickness increases with an increase in Biot number.


Corresponding author: Tafida M. Kabir, Department of Mathematics, Federal College of Education, Zaria, Nigeria, E-mail:

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2021-02-09
Revised: 2021-02-09
Accepted: 2021-11-18
Published Online: 2022-01-12

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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