THERMODYNAMIC ANALYSIS OF HALL CURRENT AND SORET NUMBER EFFECT ON HYDROMAGNETIC COUETTE FLOW IN A ROTATING SYSTEM WITH A CONVECTIVE BOUNDARY CONDITION

2020 ◽  
Vol 51 (1) ◽  
pp. 83-102
Author(s):  
Malapati Venkateswarlu ◽  
D. V. Lakshmi ◽  
Oluwole Daniel Makinde
Keyword(s):  
Boundary Condition ◽  
Couette Flow ◽  
Thermodynamic Analysis ◽  
Hall Current ◽  
Convective Boundary Condition ◽  
Rotating System ◽  
Convective Boundary ◽  
Soret Number

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

2022 ◽  
Vol 0 (0) ◽  
Author(s):  
Abiodun O. Ajibade ◽  
Tafida M. Kabir
Keyword(s):  
Boundary Condition ◽  
Natural Convection ◽  
Couette Flow ◽  
Viscous Dissipation ◽  
Fluid Velocity ◽  
Convective Boundary Condition ◽  
Heated Plate ◽  
Fluid Temperature ◽  
Convective Boundary ◽  
Energy And Momentum

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.

scholarly journals Perturbation Solution for Radiating Viscoelastic Fluid Flow and Heat Transfer with Convective Boundary Condition in Nonuniform Channel with Hall Current and Chemical Reaction

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
B. J. Gireesha ◽  
B. Mahanthesh
Keyword(s):  
Boundary Condition ◽  
Fluid Flow ◽  
Chemical Reaction ◽  
Viscoelastic Fluid ◽  
Hall Current ◽  
Perturbation Technique ◽  
Nonlinear Partial Differential Equations ◽  
Convective Boundary Condition ◽  
Flow Fields ◽  
Convective Boundary

A mathematical analysis has been performed for heat and mass transfer of a time-dependent MHD flow of an electrically conducting viscoelastic fluid in nonuniform vertical channel with convective boundary condition. The fluid flow is considered between a vertical long wavy wall and a parallel flat wall saturated with the porous medium. The effects of thermal radiation, heat absorption, chemical reaction, and Hall current are taken into account. The prevailing nonlinear partial differential equations are derived by considering Boussinesq approximation, and the same equations are solved analytically using perturbation technique. Further the expressions for skin friction, Nusselt number, and Sherwood number are presented. The effects of various pertinent parameters on different flow fields are analyzed graphically and tabularly. It is found that effects of Hall parameter and Biot number are unfavorable on velocity profiles, but this trend is reverse for the effect of thermal and solutal Grashof numbers. The expressions of different flow fields satisfy the imposed boundary conditions, which is shown in all graphs; this implies accuracy of the solution.

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