EMHD Couette Flow of Bingham Fluid Through a Porous Parallel Riga Plates with Thermal Radiation

In this paper, we investigate steady free convective Couette flow in a vertical channel with nonlinear thermal radiation, dynamic viscosity and dynamic thermal conductivity effects. The investigation is motivated by the studies of some researchers which assumed linear thermal radiation and constant fluid properties. However, this is uncalled for; as these assumptions do not reflect true behavior of the flow. For instance; increase in temperature affects fluid viscosity, thermal conductivity thereby changing the transport phenomenon. Here; the investigation considers both the fluid viscosity and thermal conductivity to be dependent on temperature with the thermal radiation adopting nonlinear form. Due to this reasons, the associated flow equations are highly nonlinear and exhibit no analytical solution and therefore require the use of Adomian decomposition method (ADM) of solution. The attained ADM solution is then coded into computer algebra package of mathematica where results under the parameters of interest are presented and discussed. Results of the investigation show that raising the thermal radiation leads to corresponding rise in both the velocity and temperature of the fluid in the channel. Furthermore; lessening the viscosity and thermal conduction of the fluid were identified to escalate both velocity and temperature of the fluid.

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MHD Generalized Couette Flow and Heat Transfer on Bingham Fluid Through Porous Parallel Plates

Mathematical Modelling and Engineering Problems ◽

10.18280/mmep.060402 ◽

2019 ◽

Vol 6 (4) ◽

pp. 483-490 ◽

Cited By ~ 1

Author(s):

Md Tusher Mollah ◽

Muhammad Minarul Islam ◽

Sheela Khatun ◽

Md Mahmud Alam

Keyword(s):

Heat Transfer ◽

Couette Flow ◽

Bingham Fluid ◽

Parallel Plates ◽

Flow And Heat Transfer

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Variable Fluid Properties and Thermal Radiation Effects on Natural Convection Couette Flow through a Vertical Porous Channel

Journal of Advances in Mathematics and Computer Science ◽

10.9734/jamcs/2019/v31i130100 ◽

2019 ◽

pp. 1-17

Author(s):

Abiodun O. Ajibade ◽

Yusuf A. Bichi

Keyword(s):

Natural Convection ◽

Thermal Radiation ◽

Couette Flow ◽

Fluid Velocity ◽

Heat Diffusion ◽

Porous Channel ◽

Flow Equations ◽

Variable Fluid Properties ◽

Fluid Properties ◽

Flow Through

The present article investigates natural convection Couette flow through a vertical porous channel due to combined effects of thermal radiation and variable fluid properties. The fluid considered in the model is of an optically dense with all its physical properties assumed constant except for its viscosity and thermal conductivity which are temperature dependent. The flow equations are simplified using non-linear Rosseland heat diffusion and as a consequence it resulted to high non-linearity of the flow equations. Adomian decomposition method (ADM) is used to solve the emanating equations and the influences of the essential controlling physical parameters involved are presented on graphs, tables and were discussed. In the course of investigation; it was found that both the fluid velocity and its temperature within the channel were seen to increase with growing thermal radiation parameter while the fluid’s velocity and temperature were observed to descend with increase in thermal conduction of the fluid. Similarly; the fluid velocity was found to increase with decrease in the fluid viscosity. To validate the accuracy of the present investigation; the results obtained here in have been compared with a published work where good agreement was found.

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Influence of Thermal Radiation on a Transient MHD Couette Flow through a Porous Medium

Journal of Applied Fluid Mechanics ◽

10.36884/jafm.5.01.11960 ◽

2012 ◽

Vol 5 (01) ◽

Keyword(s):

Porous Medium ◽

Thermal Radiation ◽

Couette Flow ◽

Flow Through ◽

Mhd Couette Flow

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Thermal diffusion and diffusion thermo effects on an unsteady heat and mass transfer magnetohydrodynamic natural convection Couette flow using FEM

Journal of Computational Design and Engineering ◽

10.1016/j.jcde.2016.06.003 ◽

2016 ◽

Vol 3 (4) ◽

pp. 349-362 ◽

Cited By ~ 12

Author(s):

R. Srinivasa Raju ◽

G. Jithender Reddy ◽

J. Anand Rao ◽

M.M. Rashidi

Keyword(s):

Mass Transfer ◽

Prandtl Number ◽

Thermal Radiation ◽

Heat And Mass Transfer ◽

Couette Flow ◽

Thermal Diffusion ◽

Schmidt Number ◽

Fluid Velocity ◽

Flow Parameters ◽

And Diffusion

Abstract The numerical solutions of unsteady hydromagnetic natural convection Couette flow of a viscous, incompressible and electrically conducting fluid between the two vertical parallel plates in the presence of thermal radiation, thermal diffusion and diffusion thermo are obtained here. The fundamental dimensionless governing coupled linear partial differential equations for impulsive movement and uniformly accelerated movement of the plate were solved by an efficient Finite Element Method. Computations were performed for a wide range of the governing flow parameters, viz., Thermal diffusion (Soret) and Diffusion thermo (Dufour) parameters, Magnetic field parameter, Prandtl number, Thermal radiation and Schmidt number. The effects of these flow parameters on the velocity (u), temperature (θ) and Concentration (ϕ) are shown graphically. Also the effects of these pertinent parameters on the skin-friction, the rate of heat and mass transfer are obtained and discussed numerically through tabular forms. These are in good agreement with earlier reported studies. Analysis indicates that the fluid velocity is an increasing function of Grashof numbers for heat and mass transfer, Soret and Dufour numbers whereas the Magnetic parameter, Thermal radiation parameter, Prandtl number and Schmidt number lead to reduction of the velocity profiles. Also, it is noticed that the rate of heat transfer coefficient and temperature profiles increase with decrease in the thermal radiation parameter and Prandtl number, whereas the reverse effect is observed with increase of Dufour number. Further, the concentration profiles increase with increase in the Soret number whereas reverse effect is seen by increasing the values of the Schmidt number. Highlights Studied MHD free convection Couette flow with the effect of Soret & Dufour numbers. Finite Element Method is implemented as the numerical approach. Grid independence of FEM is studied. Enhance the fluid velocity as increasing of temperature and concentration gradient.

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