Influence of Hall and ion-slip currents on unsteady MHD free convective flow of a rotating fluid past an oscillating vertical plate

Singh, Jitendra Kumar; Rohidas, Pratima; Joshi, N. E.; Begum, Shaikh

doi:10.18280/ijht.350106

Cited by 12 publications

(10 citation statements)

References 29 publications

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“…The dimensionless nonlinear BVP from the momentum and energy equations are solved and discussed appropriately. In our future work, the magnetic field effect on the non-Newtonian fluid flow based on [21][22][23][24] would be reported. Summarily, the major contributions from the present mathematical analysis are as follows: i. the lower solution represents the primary heat flow,…”

Section: Resultsmentioning

confidence: 96%

Existence of secondary flows in a reactive viscous fluid through a channel filled with a porous medium

Adesanya¹,

Fakoya²,

Falade³

et al. 2017

IJHT

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This paper investigates the existence of secondary flow superimposed on the reactive fluid a channel filled with porous materials. At maximum temperature, it is well-known that the energy equation has two solutions. For this purpose, the exact solution of the velocity profile is obtained and used to compute the multiple solutions arising from the nonlinear internal heat generation within the flow region. The effect of various flow parameters on the multiple solutions are presented graphically and discussed based on the physics of the fluid.

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Section: Resultsmentioning

confidence: 96%

Existence of secondary flows in a reactive viscous fluid through a channel filled with a porous medium

Adesanya¹,

Fakoya²,

Falade³

et al. 2017

IJHT

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“…Eqns. (23) - (25) are numerically solved using shooting method. The effects of Prandtl number, Pr, magnetic parameter, M, permeability coefficient of the plate, k, the volumetric heat rate of the source/sink, q, and temperature difference, Δ , were investigated for MHD flow.…”

Section: Resultsmentioning

confidence: 99%

“…Lie Infinitesimal and group methods [12][13][14], homotopy method [15][16][17], finite element [18][19][20] and finite volume [21][22][23] are examples for such common methods. Several modeling of MHD fluids have been studied [24,25].…”

Section: Introductionmentioning

confidence: 99%

Boundary Layer Analysis Adjacent to Moving Heated Plate Inside Electrically Conducting Fluid with Heat Source/Sink

Rashed¹,

Nasr²,

Kassem³

2020

IJHT

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Newtonian steady state flow of fluids with electrical conduction properties was examined adjacent to a moving heated vertical plate subjected to a magnetic field and a heat source/sink. The impact of magnetic parameter, Prandtl number, permeability coefficient, heat source/sink volumetric rate and temperature difference between heated plate and ambient temperature. A reduced system of ODEs was created via group similarity method. The solution led to some important results. Increasing permeability coefficient of the plate material resulted in a significant increase in flow velocity and a slight increase in heat flux but the magnitude of shear stress and temperature distribution decreased. Moreover, increasing the magnetic parameter, M, led to a significant decrease in velocity and a decrease in heat flux, whereas shear stress and temperature distribution increased. Furthermore, increasing Prandtl number, Pr, reduced the velocity significantly and the heat flux slightly. On the other hand, the magnitude of shear stress and temperature distribution increased. In case of using heat source, the increase in its energy rate decreased the heat flux with no significant effect on shear stress. Finally, the increment of temperature difference led to noticeable increase in velocity and a slight increase in heat flux, whereas the shear stress decreased.

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“…Some remarkable studies on Hall current includes Ali et al (2011), Das et al (2013), Pal (2013, Machireddy (2014), Seth et al (2014), Pattnaik et al (2017), Jithendra , Hussain et al (2017). The studies of Abo-Eldahab and Aziz (2000), Ojjela and Kumar (2016), Hossain et al (2015), Ram Reddy et al (2017), Sarma and Pandit (2018) and Singh et al (2016Singh et al ( , 2017Singh et al ( , 2018aSingh et al ( , 2018b reports the joint effects of Hall and ion-slip currents. The investigation of flow through a porous medium is significant due to its occurrence in scientific and technological phenomena.…”

Section: Introductionmentioning

confidence: 99%

Hydromagnetic free convective flow of Walters’-B fluid over a vertical surface with time varying surface conditions

Singh

Seth

Begum

et al. 2020

WJE

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Purpose In the present investigation, hydromagnetic boundary layer flow of Walters’-B fluid over a vertical porous surface implanted in a porous material under the action of a strong external applied magnetic field and rotation is presented. In several industrial applications, the external applied magnetic field is strong enough to produce Hall and ion-slip currents. Thus, the influence of Hall and ion-slip currents is also considered in this analysis. The flow through configuration is generated because of time varying motion of the free-stream and buoyancy action. Design/methodology/approach Regular perturbation scheme is used to obtain the solution of the system of coupled partial differential equations representing the mathematical model of the problem. Numerical computation has been performed to notice the change in flow behavior and the numerical results for velocity field, temperature field, species concentration, skin friction, rate of heat and mass transfer are presented through graphs and tables. Findings An important fact noticed that the exponential time varying motion of the free-stream induces reverse flow in the direction perpendicular to the main flow. Rising values of the strength of the applied magnetic field give increment in the fluid velocity in the neighbourhood of the vertical surface, this may cause because of the exponential motion of the free-stream. The behaviour of the Darcian drag force is similar as magnetic field on fluid flow. Originality/value In literature, very less research works are available on Walters’-B fluid where unsteadiness in the system occurs because of time varying motion of the free-stream. In this paper, the authors have made an attempt to study the action of Hall and ion-slip currents, rotation and external applied magnetic field on hydromagnetic boundary layer flow of Walters’-B fluid over a vertical surface implanted in a porous material.

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Influence of Hall and ion-slip currents on unsteady MHD free convective flow of a rotating fluid past an oscillating vertical plate

Cited by 12 publications

References 29 publications

Existence of secondary flows in a reactive viscous fluid through a channel filled with a porous medium

Existence of secondary flows in a reactive viscous fluid through a channel filled with a porous medium

Boundary Layer Analysis Adjacent to Moving Heated Plate Inside Electrically Conducting Fluid with Heat Source/Sink

Hydromagnetic free convective flow of Walters’-B fluid over a vertical surface with time varying surface conditions

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