ISSN 1119-4618
 

Original Research 


Effects of Viscous Dissipation on a Steady Mixed Convection Couette Flow of Heat Generating/Absorbing Fluid

Ayuba Umar Muhammad, Abiodun O. Ajibade.

Abstract
This paper theoretically investigates mixed convection and viscous dissipation effects on a steady flow of heat generating/absorbing fluid in a vertical channel. One of the plate is moving while the other is stationary. Homotopy Perturbation Method is used to find the approximate solution of the governing equations. The influences of the dimensionless hydrodynamics and thermodynamics flow parameters have been plotted in graphs. It is found that, increase in the mixed convection parameter $Gre$ and Brinkman number $Br$ enhances the velocity of the fluid near the heated plate while the reverse case is observed near the cold plate. The temperature profile increases with increase in $Gre$ and $Br$. It is noteworthy to mention that, smaller critical values of $Gre$ can be obtained by increasing the viscous dissipation or the heat generation. It is further noted that, the skin friction decreases on both the plates with increase in heat generation $S<0$ while a reverse case is observed for an increase in heat absorption $S>0$.

Key words: Mixed Convection; Viscous dissipation; Vertical channel; Homotopy Perturbation Method; Critical value; Pressure gradient


 
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Pubmed Style

Muhammad AU, Ajibade AO, . Effects of Viscous Dissipation on a Steady Mixed Convection Couette Flow of Heat Generating/Absorbing Fluid. JPAS. 2021; 21(1): 67-76. doi:10.5455/sf.93898


Web Style

Muhammad AU, Ajibade AO, . Effects of Viscous Dissipation on a Steady Mixed Convection Couette Flow of Heat Generating/Absorbing Fluid. http://www.atbuscienceforum.com/?mno=93898 [Access: May 10, 2021]. doi:10.5455/sf.93898


AMA (American Medical Association) Style

Muhammad AU, Ajibade AO, . Effects of Viscous Dissipation on a Steady Mixed Convection Couette Flow of Heat Generating/Absorbing Fluid. JPAS. 2021; 21(1): 67-76. doi:10.5455/sf.93898



Vancouver/ICMJE Style

Muhammad AU, Ajibade AO, . Effects of Viscous Dissipation on a Steady Mixed Convection Couette Flow of Heat Generating/Absorbing Fluid. JPAS. (2021), [cited May 10, 2021]; 21(1): 67-76. doi:10.5455/sf.93898



Harvard Style

Muhammad, A. U., Ajibade, A. O. & (2021) Effects of Viscous Dissipation on a Steady Mixed Convection Couette Flow of Heat Generating/Absorbing Fluid. JPAS, 21 (1), 67-76. doi:10.5455/sf.93898



Turabian Style

Muhammad, Ayuba Umar, Abiodun O. Ajibade, and . 2021. Effects of Viscous Dissipation on a Steady Mixed Convection Couette Flow of Heat Generating/Absorbing Fluid. Science Forum (Journal of Pure and Applied Sciences), 21 (1), 67-76. doi:10.5455/sf.93898



Chicago Style

Muhammad, Ayuba Umar, Abiodun O. Ajibade, and . "Effects of Viscous Dissipation on a Steady Mixed Convection Couette Flow of Heat Generating/Absorbing Fluid." Science Forum (Journal of Pure and Applied Sciences) 21 (2021), 67-76. doi:10.5455/sf.93898



MLA (The Modern Language Association) Style

Muhammad, Ayuba Umar, Abiodun O. Ajibade, and . "Effects of Viscous Dissipation on a Steady Mixed Convection Couette Flow of Heat Generating/Absorbing Fluid." Science Forum (Journal of Pure and Applied Sciences) 21.1 (2021), 67-76. Print. doi:10.5455/sf.93898



APA (American Psychological Association) Style

Muhammad, A. U., Ajibade, A. O. & (2021) Effects of Viscous Dissipation on a Steady Mixed Convection Couette Flow of Heat Generating/Absorbing Fluid. Science Forum (Journal of Pure and Applied Sciences), 21 (1), 67-76. doi:10.5455/sf.93898