MHD flow over a moving plate in a rotating fluid with magnetic field, Hall currents and free stream velocity

Takhar, H. S.; Chamkha, Ali J.; Nath, G.

doi:10.1016/s0020-7225(02)00016-2

Cited by 179 publications

(75 citation statements)

References 20 publications

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“…It should be mentioned that the study of fluid flow in the presence of an applied magnetic field has significant applications in metallurgy, solar physics, geophysics, cosmic fluid dynamics, polymer industry, in the motion of earth's core, etc., and has been studied by several authors, namely Rashidi et al [21,22], Rashidi and Erfani [23], Abbasbandy et al [24], Khedr et al [25], Magyari and Chamkha [26], Takhar et al [27], Jafar et al [28], Fang and Zhang [29], etc.…”

Section: Nomenclaturementioning

confidence: 99%

Lie group symmetry method for MHD double-diffusive convection from a permeable vertical stretching/shrinking sheet

Roşca

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2016

Computers & Mathematics with Applications

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a b s t r a c tIn this paper, the problem of the steady magnetohydrodynamics (MHD) double-diffusive convection of a viscous and electrically conducting fluid from a permeable vertical stretching/shrinking sheet with the presence of buoyancy force is investigated numerically. The effect of the MHD on the flow, heat transfer and species concentration has been also discussed. The partial differential equations are reduced to ordinary (similarity) equations using the method of the Lie group symmetry. Numerical solutions of the resulting nonlinear boundary value problem are carried out using the function bvp4c from Matlab for different values of the governing parameters. It is found that the solutions of the ordinary (similarity) differential equations have two branches, upper and lower branch solutions, in a certain range of the stretching/shrinking, buoyancy, suction and magnetic parameters. It is shown that the reported results are in excellent agreement with those from the open literature for a forced convection flow when the concentration gradient is absent and the stretching sheet is impermeable. In order to establish which of upper and lower solutions are stable and which are not, a stability analysis has been performed. Thus, it is found that the upper branch solution is stable and, therefore, physically realizable in practice, while the lower branch solution is not stable and, thus, physically not realizable. The effects of the governing parameters on the reduced skin friction coefficient, reduced Nusselt number and reduced Sherwood number are shown in tables and figures. It results in that the governing parameters affect considerably the flow, heat transfer and concentration characteristics. In our opinion, the results are new and original.

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Section: Nomenclaturementioning

confidence: 99%

Lie group symmetry method for MHD double-diffusive convection from a permeable vertical stretching/shrinking sheet

Roşca

Pop

2016

Computers & Mathematics with Applications

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“…Takhar et. al [4] studied MHD flow over a moving plate in a rotating fluid with magnetic field, Hall currents and free stream velocity. Prakash and Ogulu [5] have studied unsteady two-dimensional flow of a radiating and chemically reacting MHD fluid with time-dependent suction.…”

Section: Introductionmentioning

confidence: 99%

Thermal Diffusion and Hall Effects on MHD Flow Past an Impulsively Started Inclined Plate with Variable Temperature and Mass Diffusion in The Presence of Thermal Radiation

Reddy¹

2017

IJERA

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The effects of thermal diffusion and Hall current on unsteady magneto-hydrodynamic (MHD) flow past an impulsively started inclined plate with variable temperature and mass diffusion in the presence of radiation under the influence of uniform magnetic field applied normal to the flow has been carried out. The fluid is considered a gray, absorbing-emitting radiation but a non-scattering porous medium. The governing equations of the flow for this investigation are solved numerically by the Ritz finite element method. The results obtained are discussed with the help of graphs drawn for different flow parameters like thermal Grashof number, mass Grashof number, Prandtl number, Schmidt number, radiation parameter, magnetic parameter, Hall parameter, thermal diffusion parameter and angle of inclination. The numerical data for shearing stresses, Nusselt number and Sherwood number are presented in tables and then discussed.

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“…The above governing equations can be also described by the following set of Navier-Stokes equations [14,15]:…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Three-Dimensional Squeezing Nanofluid Flow in a Rotating Channel on a Lower Stretching Porous Wall

Anuradha¹

2017

IJRASET

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Unsteady 3D rotating Nano fluid flow of an Incompressible electronically conducting viscous fluid between two infinite horizontal plane walls investigated Numerically, The governing Navier stokes equations are converted into ordinary differential equations by using similarity transformation. Runge kutta method sixth order by using mathematical software is used to solve the complete system of nonlinear ODE. The non dimensional parameters characteristic parameter of the flow, rotation parameter, the magnetic parameter, nano particle volume fraction, the suction parameter analyzed numerically and graphically with comparison of analytical result. I.INTRODUCTION Nano fluid is a liquid covering nanometer-sized elements (having diameter less than 100nm), named nanoparticles. The nanoparticles are classically made up of metals, oxides and carbides or carbon nanotubes. Owing to the vast number of submissions in chemical as well as motorized engineering procedures such as the production of thin plastic sheets, insulating materials, paper fabrication, and other various procedures, this paper pays specific care to the study of rotating flow over stretching surfaces [1]. Bachok et al. working a fourth order Runge-Kutta integration system to explore the consequence of variable fluid viscosity, magnetic parameter, Prandtl number, variable thermal conductivity, thermal radiation parameter and heat source/sink parameter, on MHD fluid flow over a stretching sheet. Three-dimensional flow in a channel with a stretching wall was investigated by Borkakoti and Bharali [5]. Domairry and Aziz [6] found an analytic solution for unsteady MHD squeezing flow with suction and injection properties by the use of homotopy perturbation technique. El-Mistikawy and Attia [7] was investigated the influence of an external uniform magnetic field on the flow due to a rotating disk. Syahira Mansur and AnuarIshak [8] studying the heat transfer characteristic of an unsteady boundary layer flow of a nanofluid over a stretching sheet. Mehmood and Ali [9] analyzed a three-dimensional flow in a channel bounded through the lower stretching plate and upper permeable plate and experimental that the viscous drag at lower wall rises due to the incidence of injection at the higher plate. To the best of authors' knowledge, Choi and Eastman [10] stood probably the first investigators who employed a mixture of nanoparticles and base fluid and called this mixture a "Nano fluid." A varied choice of evaluation documents have been issued on Nano fluids in recent years. NavidFreidoonimehr [11] derives a coupled system of nonlinear ordinary differential equations to model the three-dimensional flow rotating channel of a nanofluid on a lower permeable stretching wall. The three-dimensional problem of steady fluid deposition on an inclined rotating disk is studied by Sheikholeslami et al. [12] and M. Sheikholeslami [13] at al study is to apply HPM to find approximate solutions of nonlinear differential equations governing the problem of heat transfer in the unstead...

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MHD flow over a moving plate in a rotating fluid with magnetic field, Hall currents and free stream velocity

Cited by 179 publications

References 20 publications

Lie group symmetry method for MHD double-diffusive convection from a permeable vertical stretching/shrinking sheet

Lie group symmetry method for MHD double-diffusive convection from a permeable vertical stretching/shrinking sheet

Thermal Diffusion and Hall Effects on MHD Flow Past an Impulsively Started Inclined Plate with Variable Temperature and Mass Diffusion in The Presence of Thermal Radiation

Numerical Analysis of Three-Dimensional Squeezing Nanofluid Flow in a Rotating Channel on a Lower Stretching Porous Wall

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