ANALYTICAL STUDY ON FULLY DEVELOPED MIXED CONVECTION COUETTE FLOW IN A VERTICAL CHANNEL WITH VISCOUS DISSIPATION EFFECT

Authors

  • Mohammed Kabir Tafida
    Department of Mathematics, Federal College of Education, Zaria. Nigeria.
  • Ayuba M. Umar
  • Usman M. Iyabo

Keywords:

Couette flow, Mixed convection, Viscous dissipation, Homotopy perturbation method, Vertical channel

Abstract

The study of mixed convection flow in a vertical channel with viscous dissipation has been examined. To solve the governing energy and momentum equations, the Homotopy perturbation method was employed. Graphs were generated to analyze the impact of the governing flow parameters. Numerical values for skin friction, rate of heat transfer, and mass flux were estimated. The study revealed that an increase in mixed convection expands the reverse flow region and raises the critical value of mixed convection that leads to flow reversal. Additionally, both fluid temperature and velocity rise with increased viscous dissipation, as higher viscous dissipative heat elevates temperature, subsequently increasing the buoyancy force.

Dimensions

Abdulhakeem, Y., Abdulrahman, B. and Nasiru, O. S. (2022). Boundary layer analysis flow past a porous rotating disk with Dufour and soret effects. FUDMA Journal of Sciences (FJS). 6(2): 49 – 57

Ajibade, A. O. and Princely, O. O. (2020). Effect of viscous dissipation on steady natural convection, heat and mass transfer in a vertical channel with variable viscosity and thermal conductivity. Journal of Heat and Mass Transfer Research. 7: 105 – 116

Ajibade, A. O. and Tafida, M. K. (2020). Effects of variability in viscosity and thermal conductivity Couette flow and heat transfer. Transactions of NAMP vol.11, (January – June, 2020 Issue).

Ajibade, A. O. and Tafida, M. K. (2022). Viscous dissipation effect of on steady natural Convection Couette flow with convective boundary condition. International Journal of Non-Linear Sciences and Numerical Simulation (IJNSNS). 7: 105 – 116

Ajibade, A. O., Ayuba, M. U. and Tafida, M. K. (2021). An Analytical study on effects of viscous dissipation and suction/injection on a steady MHD natural convection Couette flow of heat generating/absorbing fluid. Advances in Mechanical Engineering. 13(5), 1 – 12.

Biazar, J. and Ghazvini (2008). Homotopy perturbation method for solving hyperbolic partial differential equations. International Journal of Computers and Mathematics with Applications. 56: 453 – 458.

Essam, M. E. and Mohammed, S. A. (2021). Mixed convection hybrid-nanofluid in a vertical channel under the effect of thermal radiative flux. Case Studies in Thermal Engineering. 25, 100913.

Fahad, B. M., Samad, M. A and Hossain, M. R. (2017). Combined effect of viscous dissipation and radiation on an unsteady natural convection. Am. J. Comput. Appl. Math. 7(3): 71 – 79

Gebhart B. (1962). Effect of viscous dissipation on natural convection. Journal of Fluid Mechanics. 14: 225 – 232

Hamida, N., Mulyano, Nurul, M. S. and Salisa, BR. S (2023). Exploring of Homotopy Perturbation Method for solving spread of Covid-19. Jambura Journal of Biomathematics. 4(2), 138 – 145.

Henniche, R. and Abdelkader, K. (2020). Mixed convection in a vertical channel by addition of staggered inclined baffles. Journal of Thermophysics and Heat Transfer. Doi:10.2514/1.T6037.

Kairi, R. R., Murthy, P. N and Ng, C. (2011). Effect of viscous dissipation in a Non-Darcy porous medium saturated with Non-Newtonian fluid of variable viscosity. The Open Transport Phenomena Journal. 3: 1 – 8

Muawiya, H. U. and Tafida, M. K. (2019). Viscous dissipation effects on steady natural convection Couette flow in a vertical channel. Wudil Journal of Pure and Applied Sciences. 1(2), 169 – 179.

Muneer, A. I., Ahmed, K. H., Faton, M. O. and Lioua, K. (2020). Effect of Driven Sidewalls on Mixed Convection in an Open trapezoidal cavity with a channel. Journal of Heat Transfer. 142/082601 – 1.

Nur, S. W., Noriham, Md. A., Najiyah, S. K., Ioan, P., Norfifah, B. and Mohd, E. H. (2022). Magnetohydrodynamics mixed convection flow of a hybrid nanofluid past a permeable vertical flat plate with thermal radiation effect. Alexandria Engineering Journal. 6, 3323 – 3333.

Sheid, A. M., Oyom, O. A., Momoh, D. S., and Onojovwo, T. F. (2023). Convective heat and Casson nanofluid flow over a vertical plate with heat source. FUDMA Journal of Sciences (FJS). 7(2): 9 – 18

Tafida, M. K. and Ajibade, A. O. (2020). Variable viscosity and viscous dissipation effects on free convective Couette flow in a vertical channel: The Homotopy perturbation method approach. The Journal of the Mathematical Association of Nigerian. 47(1), 161 – 175.

Yusuf, A. B. and Ajibade, A. O. (2020). Combined effects of variable viscosity, viscous dissipation and thermal radiation on unsteady natural convection Couette flow through a vertical porous channel. FUDMA Journal of Sciences (FJS). 4(2): 135 – 150

Yusuf, A. B. and Ajibade, A. O. (2018). Unsteady natural convection flow through a vertical porous channel filled with porous material under the effect of thermal radiation. FUDMA Journal of Sciences (FJS). 2(2): 101 – 115

Published

21-10-2024

How to Cite

ANALYTICAL STUDY ON FULLY DEVELOPED MIXED CONVECTION COUETTE FLOW IN A VERTICAL CHANNEL WITH VISCOUS DISSIPATION EFFECT. (2024). FUDMA JOURNAL OF SCIENCES, 8(5), 193-200. https://doi.org/10.33003/fjs-2024-0805-2652

Issue

Vol. 8 No. 5 (2024): FUDMA Journal of Sciences - Vol. 8 No. 5

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

ANALYTICAL STUDY ON FULLY DEVELOPED MIXED CONVECTION COUETTE FLOW IN A VERTICAL CHANNEL WITH VISCOUS DISSIPATION EFFECT. (2024). FUDMA JOURNAL OF SCIENCES, 8(5), 193-200. https://doi.org/10.33003/fjs-2024-0805-2652

Most read articles by the same author(s)