Unsteady MHD free convective flow past a semi-infinite vertical wall with induced magnetic field

Kumar, Anand; Singh, A. K.

doi:10.1016/j.amc.2013.07.044

Cited by 50 publications

(24 citation statements)

References 17 publications

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“…It can be seen that the streamfunction value is reduced slightly with further increasing of Rem in parallelogramic porous cavities. This phenomena was also observed before in the study of Kumar & Singh [21], where the MHD free convection flow past a semi-infinite vertical wall in the presence of an induced magnetic field was studied. The variation of N u as a function of skew angle for different magnetic Reynolds numbers is illustrated in Fig.…”

Section: Effect Of Magnetic Field Induction (Magnetic Reynolds Numbermentioning

confidence: 54%

See 1 more Smart Citation

Numerical Analysis of MHD Mixed Convection Flow in a Parallelogramic Porous Enclosure Filled with Nano Fluid and in Presence of Magnetic Field Induction

Ghaffarpasand

Fazeli

2018

Scientia Iranica

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In the present study, the mixed convection flow of nanofluid in a lid-driven parallelogramic porous enclosure subjected to a magnetic field is investigated numerically. Induced magnetic field is also considered, in terms of the magnetic potential, in solving the magnetohydrodynamic (MHD) flow and temperature equations. The Darcy-Brinkman-Forchheimer model with the Boussinesq approximation is adopted and the finite volume method based on SIMPLE algorithm is utilized to solve the governing equations with the appropriate boundary conditions in an orthogonal computational domain. The governing equations in a non-orthogonal physical domain are transformed into a computational domain in an orthogonal co-ordinate by co-ordinate transformations. It has been shown that the flow field and heat transfer are sensible greatly to the skew angle variation. Magnetic potential circulates through the parallelogramic porous enclosure with either high either magnetic Reynolds number or magnetic permeability of the nanofluid. Results also indicate that the influence of external magnetic field on fluid characteristics and heat transfer manifests variety fashions mainly depends on the effective area of the parallelogramic enclosure. Besides, the variation in rates of heat transfer while adding nanoparticles or applying magnetic field are affected to some extent by porous medium permeability and Richardson number.

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Section: Effect Of Magnetic Field Induction (Magnetic Reynolds Numbermentioning

confidence: 54%

“…It has been shown that the effect of induced magnetic field is always a reduction of the natural convection taking place inside the enclosure. Kumar & Singh [21] considered the effect of an induced magnetic field on unsteady hydro-magnetic free convection flow. Results show that the induced magnetic field slows down the fluid flow.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of MHD Mixed Convection Flow in a Parallelogramic Porous Enclosure Filled with Nano Fluid and in Presence of Magnetic Field Induction

Ghaffarpasand

Fazeli

2018

Scientia Iranica

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“…Kwanza and Balakiyema (2012) has investigated the hydromagnetic free convective flow past an infinite vertical porous plate with magnetic induction. Kumar and Singh (2013) have studied the unsteady magnetohydrodynamic free convective flow past a semi-infinite vertical wall by taking into account the induced magnetic field. Jha and Sani (2013) have presented the magnetohydrodynamic natural convective flow of an electrically conducting and viscous incompressible fluid in a vertical channel due to symmetric heating in the presence of induced magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic free convection between vertical parallel porous plates in the presence of induced magnetic field

Sarveshanand

Singh

2015

SpringerPlus

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In this paper, the steady two-dimensional hydromagnetic free convective flow of an incompressible viscous and electrically conducting fluid between two parallel vertical porous plates has been considered. The effect of induced magnetic field arising due to the motion of an electrically conducting fluid is taken into account. The governing equations of the motion are a set of simultaneous ordinary differential equations and their analytical solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expression for the induced current density has been also obtained. The effects of various non-dimensional parameters on the velocity profile, the induced magnetic field profile, the temperature profile and the induced current density profile have been shown in the graphs. It is found that the effect of suction parameter is to decrease the velocity field and induced current density while it has increasing effect on the induced magnetic field.

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“…Under above assumptions the governing the boundary layer equations can be written are as follows: [26][27][28] ∂u ∂x + ∂ ∂y = 0,…”

Section: Mathematical Analysismentioning

confidence: 99%

Numerical study of MHD micropolar carreau nanofluid in the presence of induced magnetic field

2018

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The heat and mass transfer of a magnetohydrodynamic micropolar Carreau nanofluid on a stretching sheet has been analyzed in the presence of induced magnetic field. An internal heating, thermal radiation, Ohmic and viscous dissipation effects are also considered. The system of the governing partial differential equations is converted into the ordinary differential equations by means of the suitable similarity transformation. The resulting ordinary differential equations are then solved by the well known shooting technique. The impact of emerging physical parameters on the velocity, angular velocity, temperature and concentration profiles are analyzed graphically. The dimensionless velocity is enhanced for the Weissenberg number and the power law index while reverse situation is studied in the thermal and the concentration profile.

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Unsteady MHD free convective flow past a semi-infinite vertical wall with induced magnetic field

Cited by 50 publications

References 17 publications

Numerical Analysis of MHD Mixed Convection Flow in a Parallelogramic Porous Enclosure Filled with Nano Fluid and in Presence of Magnetic Field Induction

Numerical Analysis of MHD Mixed Convection Flow in a Parallelogramic Porous Enclosure Filled with Nano Fluid and in Presence of Magnetic Field Induction

Magnetohydrodynamic free convection between vertical parallel porous plates in the presence of induced magnetic field

Numerical study of MHD micropolar carreau nanofluid in the presence of induced magnetic field

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