Transient Hartmann Flow with Heat Transfer Considering the Ion Slip

Attia, Hazem Ali

doi:10.1238/physica.regular.066a00470

Cited by 10 publications

(2 citation statements)

References 11 publications

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“…Motsa and Shateyi [ 6 ] performed a numerical analysis on magnetomicropolar fluid flow, heat and mass transfer with suction through porous material to determine the impacts of Hall currents, ion-slip currents, and changing thermal diffusivity on these processes. Attia [ 7 ] used an analytical approach to research the flow of a dusty fluid when Hall and ion slip current were present. The flow of a magnetohydrodynamic boundary layer was examined by Ghosh [ 8 ] across a stretched sheet while a chemical reaction was taking place.…”

Section: Introductionmentioning

confidence: 99%

Recent Development of Heat and Mass Transport in the Presence of Hall, Ion Slip and Thermo Diffusion in Radiative Second Grade Material: Application of Micromachines

Deepthi¹,

Lashin

Kumar³

et al. 2022

Micromachines

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This article describes the incompressible two-dimensional heat and mass transfer of an electrically conducting second-grade fluid flow in a porous medium with Hall and ion slip effects, diffusion thermal effects, and radiation absorption effects. It is assumed that the fluid is a gray, absorbing–emitting but non-scattering medium and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. It is assumed that the liquid is opaque and absorbs and emits radiation in a manner that does not result in scattering. It is considered an unsteady laminar MHD convective rotating flow of heat-producing or absorbing second-grade fluid across a semi-infinite vertical moving permeable surface. The profiles of velocity components, temperature distribution, and concentration are studied to apply the regular perturbation technique. These profiles are shown as graphs for various fluid and geometric parameters such as Hall and ion slip parameters, radiation absorption, diffusion thermo, Prandtl number, Schmidt number, and chemical reaction rate. On the other hand, the skin friction coefficient and the Nusselt number are determined by numerical evaluation and provided in tables. These tables are then analysed and debated for various values of the flow parameters that regulate it. It may be deduced that an increase in the parameters of radiation absorption, Hall, and ion slip over the fluid region increases the velocity produced. The resulting momentum continually grows to a very high level, with contributions from the thermal and solutal buoyancy forces. The temperature distribution may be more concentrated by raising both the heat source parameter and the quantity of radiation. When one of the parameters for the chemical reaction is increased, the whole fluid area will experience a fall in concentration. Skin friction may be decreased by manipulating the rotation parameter, but the Hall effect and ion slip effect can worsen it. When the parameter for the chemical reaction increases, there is a concomitant rise in the mass transfer rate.

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Section: Introductionmentioning

confidence: 99%

Recent Development of Heat and Mass Transport in the Presence of Hall, Ion Slip and Thermo Diffusion in Radiative Second Grade Material: Application of Micromachines

Deepthi¹,

Lashin

Kumar³

et al. 2022

Micromachines

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“…However, the current trend for the application of magnetohydrodynamics is towards a strong magnetic field, so that the influence of the electromagnetic force is noticeable under these conditions, and the Hall current as well as the ion slip are important; they have a marked effect on the magnitude and direction of the current density and consequently on the magnetic-force term [13]. The effect of the Hall current or the ion slip on the Hartmann flow of a clean fluid was studied by a number of authors [14][15][16][17][18]. Aboul-Hassan and Attia [19] studied the influence of the Hall current on the flow and heat transfer of a dusty conducting fluid in a rectangular channel neglecting the ion slip.…”

Section: Introductionmentioning

confidence: 99%

Effect of the ion slip on the MHD flow of a dusty fluid with heat transfer under exponential decaying pressure gradient

Attia

2005

Open Physics

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In the present study, the unsteady Hartmann flow with heat transfer of a dusty viscous incompressible electrically conducting fluid under the influence of an exponentially decreasing pressure gradient is studied without neglecting the ion slip. The parallel plates are assumed to be porous and subjected to a uniform suction from above and injection from below while the fluid is acted upon by an external uniform magnetic field applied perpendicular to the plates. The equations of motion are solved analytically to yield the velocity distributions for both the fluid and dust particles. The energy equations for both the fluid and dust particles including the viscous and Joule dissipation terms, are solved numerically using finite differences to get the temperature distributions.

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Hall effect on couette flow with heat transfer of a dusty conducting fluid between parallel porous plates under exponential decaying pressure gradient

Attia

2006

J Mech Sci Technol

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Transient Hartmann Flow with Heat Transfer Considering the Ion Slip

Cited by 10 publications

References 11 publications

Recent Development of Heat and Mass Transport in the Presence of Hall, Ion Slip and Thermo Diffusion in Radiative Second Grade Material: Application of Micromachines

Recent Development of Heat and Mass Transport in the Presence of Hall, Ion Slip and Thermo Diffusion in Radiative Second Grade Material: Application of Micromachines

Effect of the ion slip on the MHD flow of a dusty fluid with heat transfer under exponential decaying pressure gradient

Hall effect on couette flow with heat transfer of a dusty conducting fluid between parallel porous plates under exponential decaying pressure gradient

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