Unsteady Hydromagnetic Natural Convection Flow of a Heat Absorbing Fluid within a Rotating Vertical Channel in Porous Medium with Hall Effects

Seth, G. S.; Kumbhakar, Bidyasagar; Sharma, Rohit

doi:10.18869/acadpub.jafm.67.223.22918

Cited by 35 publications

(12 citation statements)

References 46 publications

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“…Step 4: Imposition of the Boundary Conditions: The physical boundary conditions defined in (15) and in (17) are imposed on the assembled equations.…”

Section: Methods Of Solution By Finite Element Methodsmentioning

confidence: 99%

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

Raju

Reddy

Rao

et al. 2016

Journal of Computational Design and Engineering

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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 is 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 ware 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. NOMENCLATURE List of Variables: h Distance between two parallel plates ( m ) o H Magnetic field component along   y axis ( 1  m A ) p C Specific heat at constant pressure   K Kg J 1  s C Concentration susceptibility ( 1  mole m ) Gr Grashof number for heat transfer Gc Grashof number for mass transfer g Acceleration of gravity ( 2  s m ) M Hartmann number Pr Prandtl number Sc Schmidt number R Thermal radiation parameter F Accelerating parameter D Chemical molecular diffusivity ( 1 2  s m ) T  Temperature of fluid   K w T  Temperature of the fluid near to moving plate   K h T  Temperature of the fluid near to the stationary plate   K C Concentration of fluid ( 3  m mol ) w C Concentration of the fluid near to moving plate ( 3  m mol ) h C Concentration of the fluid near to the stationary plate ( 3  m mol ) t Time in x , y coordinate system ( s ) t Time in dimensionless co-ordinates ( s ) u Velocity component in   x direction ( 1  s m ) u Dimensionless velocity component in   x direction ( 1  s m ) o Nu Nusselt number at the moving hot plate 1 Nu Nusselt number at the stationary plate Sh Sherwood number Sr Soret number (Thermal Diffusion) Dr Dufour number (Diffusion Thermo) r q Radiative heat flux K Chemical reaction of first order with rate constant y x  , Co-ordinate syste...

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“…Step 4: Imposition of the Boundary Conditions: The physical boundary conditions defined in (15) and in (17) are imposed on the assembled equations.…”

Section: Methods Of Solution By Finite Element Methodsmentioning

confidence: 99%

“…Eqs. (11), (12), (14) and (16) presents a coupled system of linear partial differential equations and these are to be solved with initial and boundary conditions (15) and (17). However, finding the exact solutions are difficult, whenever it is possible.…”

Section: Species Diffusion Equationmentioning

confidence: 99%

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

Raju

Reddy

Rao

et al. 2016

Journal of Computational Design and Engineering

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“…Moreover, [27] presented the analysis of first and second law of thermodynamics on fluid flow and heat transfer inside a vertical channel with respect to the compound actions of buoyancy force, constant pressure gradient and magnetic field strength. Other related surveys showing the impact of buoyancy force on fluid motion with other physical parameters can be found in existing literature, to mention a few [28][29][30][31].…”

Section: Introductionmentioning

confidence: 99%

Analysis of buoyancy driven flow of a reactive heat generating third grade fluid in a parallel channel having convective boundary conditions

Hassan

Salawu

2019

SN Appl. Sci.

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The study investigated the impacts of buoyancy force and internal heat source on a reactive third grade fluid flow within parallel channel. The results obtained for the coupled equations regulating the flow of fluid which are strongly nonlinear are secured by applying Adomian decomposition method (modified). The significant effects of buoyancy force and heat source are noticed to increase the speed transfer of heat within the flow regime. Also, the prevalent outcome of thermal energy at the lower and upper plates reduces with rising values of buoyancy force and reduces with heat source. The present result is compared with the earlier published article where the influence of buoyancy force and heat source were not accounted for.

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“…Then, Jha [8,9] studied the free convection flow of viscous fluid in heat and mass transfer with the dufour effect. Finally, the problems on rotating viscous fluid in vertical channel are also studied by Seth et al [10] (porous channel and magnetic effect), Seth et al [11] (porous channel an, magnetic and Hall current effects) and Seth et al [12] (porous medium, magnetic and heat transfer effects).…”

Section: Introductionmentioning

confidence: 99%

Exact solution for unsteady free convection flow of Casson fluid in vertical channel

et al. 2018

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Abstract. The influence of free convection flow on unsteady Casson fluid over a vertical channel is studied in this paper. The governing equation consists of partial differential momentum and energy equations have been transformed into non-dimensional equations by using the appropriate nondimensional variables. The expression of exact solutions for nondimensional velocity and temperature profiles are obtained by using the Laplace transform method. The obtained exact solutions are found satisfied all the initial and boundary conditions. The behaviour of velocity and temperature profiles influenced by Casson fluid parameter, Grashof number, Prandtl number and time are plotted graphically and presented in tables. It can be observed that, the velocity profile and boundary layer thickness decrease when the values of Casson fluid parameter and Prandtl number increase. This is due to the increase of viscous force and retard the movement of the velocity. The present result is validated when the obtained exact solution of velocity is compared with published result and found in a good agreement.

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Unsteady Hydromagnetic Natural Convection Flow of a Heat Absorbing Fluid within a Rotating Vertical Channel in Porous Medium with Hall Effects

Cited by 35 publications

References 46 publications

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

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

Analysis of buoyancy driven flow of a reactive heat generating third grade fluid in a parallel channel having convective boundary conditions

Exact solution for unsteady free convection flow of Casson fluid in vertical channel

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