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.

Impact of Thermal Stratification on Unsteady Natural Convection Couette Flow Formation in a Vertical Channel Filled with Anisotropic Porous Material

2021 ◽  
Vol 408 ◽  
pp. 67-82
Author(s):  
Basant Kumar Jha ◽  
Muhammad Kabir Musa ◽  
Abiodun O. Ajibade
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Differential Equations ◽  
Porous Material ◽  
Couette Flow ◽  
Fluid Velocity ◽  
Vertical Channel ◽  
Stratified Fluid ◽  
Fluid Temperature ◽  
Riemann Sum

Recently, heat transfer problems where anisotropic porous medium or stably stratified fluid are taken into account have been separately studied. Developing a mathematical model that combines these physical quantities naturally results to complex coupled differential equations. In this paper, a fully developed time dependent natural convection Couette flow of stably stratified fluid between vertical parallel channels filled with anisotropic porous material is investigated. The governing partial differential equations are transformed into ordinary differential equations using Laplace transform techniques and then decoupled using D’Alembert method. Exact solutions in Laplace domain for the velocity and temperature equations are then obtained. A numerical method: Riemann-sum approximation is then used to invert the expressions for the velocity and temperature profiles, as well as the resulting skin friction, rate of heat transfer and volumetric mass flow rate into their corresponding time domain. The research establishes that both the anisotropic and the stratification parameters aid in regulating the fluid temperature and velocity. The research further reveals that the fluid velocity attains its maximum (or minimum) velocity when θ = 900 (or θ = 00) for k*<1 and when k*>1, the fluid velocity is least (or maximum) when θ = 900 (or θ = 00).

Analytical and Numerical Study on Cross Diffusion Effects on Magneto-Convection of a Chemically Reacting Fluid with Suction/Injection and Convective Boundary Condition

2020 ◽  
Vol 401 ◽  
pp. 63-78
Author(s):  
Sheniyappan Eswaramoorthi ◽  
Marimuthu Bhuvaneswari ◽  
S. Sivasankaran ◽  
Oluwole Daniel Makinde
Keyword(s):  
Boundary Condition ◽  
Heat Generation ◽  
Numerical Study ◽  
Fluid Velocity ◽  
Convective Boundary Condition ◽  
Convective Boundary ◽  
Soret And Dufour Effects ◽  
Cross Diffusion ◽  
Similarity Transformations ◽  
Fourth Order Method

The purpose of this paper is to investigate the Soret and Dufour effects on unsteady mixed convective boundary layer flow of a viscous fluid over a stretching surface in a porous medium in the presence of magnetic field with heat generation/absorption, chemical reaction, suction/injection and convective boundary condition. The governing time-dependent partial differential equations are transformed into non-linear ordinarydifferential equations using similarity transformations. These equations subject to the appropriate boundary conditions are solved analytically by homotopy analysis method (HAM) and numerically by Runge-Kutta fourth order method and shooting technique.The numerical solution is compared with analytical solution. The influence of the different parameters on velocity, temperature and concentration profiles are discussed in graphical as well as in tabular form. It is observed that the fluid velocity and temperature increase on increasing the buoyancy ratio parameter and heat generation/absorption parameter. Also found that the surface heat and mass transfer rates increase on increasingthe suction/injection and heat generation/absorption parameters.

Non-similarity Solutions for Viscous Dissipation and Soret Effects in Micropolar Fluid over a Truncated Cone with Convective Boundary Condition: Spectral Quasilinearization Approach

2017 ◽  
Vol 18 (5) ◽  
pp. 327-342
Author(s):  
Chetteti RamReddy ◽  
Teegala Pradeepa
Keyword(s):  
Boundary Condition ◽  
Differential Equations ◽  
Mixed Convection ◽  
Viscous Dissipation ◽  
Micropolar Fluid ◽  
Convective Boundary Condition ◽  
Convection Flow ◽  
Quasilinearization Method ◽  
Convective Boundary ◽  
Truncated Cone

AbstractThis article emphasizes the influence of convective boundary condition on mixed convection flow of a micropolar fluid over a truncated cone with Soret and viscous dissipation effects. The governing micropolar fluid flow equations are non-dimensionalized using suitable non-similarity transformations. Several authors have applied the spectral quasilinearization method to solve the ordinary differential equations, but here the resulting nonlinear partial differential equations are solved for non-similarity solution by using a newly developed method called the spectral quasilinearization method (SQLM). The comparison of convection process namely free, forced and mixed convection on the micropolar fluid is provided in detail. The convergence and error analysis are also discussed to test the accuracy of the spectral method. From the results, it perceived that with the rise in viscous dissipation parameter, the wall couple stress coefficient and Nusselt number reduce, but velocity, temperature, concentration, skin friction coefficient and Sherwood number increase for both in the absence and in the presence of Soret number.

scholarly journals MHD natural convection of ferrofluid from a fixed vertical plate with aligned, transverse magnetic field and convective boundary condition

2017 ◽  
Vol 13 (3) ◽  
Author(s):  
Mohd Rijal Ilias ◽  
Noraihan Afiqah Rawi ◽  
Sharidan Shafie
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Boundary Condition ◽  
Natural Convection ◽  
Transverse Magnetic Field ◽  
Vertical Plate ◽  
Volume Fraction ◽  
Convective Boundary Condition ◽  
Transverse Magnetic ◽  
Convective Boundary

The present study analyzed the influence of aligned and transverse magnetic field on two dimensional natural convection boundary layer flow of a ferrofluid over a semi-infinte fixed vertical plate in the presence of convective boundary condition. It is assumed that the left surface of the plate is in contact with a hot fluid while the cold fluid on the right surface. Two different base fluids (water and kerosene) containing magnetite (Fe3O4) as ferroparticle are considered. The governing boundary layer equations along with the appropriate boundary conditions are transformed to a set of ordinary differential equations using similarity variables. The resultant system of equations is then solved numerically by using Keller-Box method.  Numerical results for the skin friction coefficient and local Nusselt number were presented whilst the velocity and temperature profiles illustrated graphically and analyzed. The effect of the inclined angle, magnetic field parameter, volume fraction, Grashof number and Biot number on the flow field were discussed. It is found that the heat transfer rate at the plate surface with Fe3O4- kerosene ferrofluid is higher than Fe3O4- water.

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