Numerical investigation of damped wave type MHD flow with time-varied external magnetic field

Selvi̇topi̇, Harun

doi:10.1016/j.cjph.2022.09.012

Cited by 2 publications

(2 citation statements)

References 19 publications

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“…Moreover, the effect of a time varying magnetic field on the flows of electrically conducting fluid has been considered in the recent work [20]. In another recent study [21], a finite element application that is coupled with Crank-Nicolson scheme has been considered to analyse numerically the behaviour of damped wave type MHD flow in a rectangular channel under the influence of a time-varied oblique magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Time dependent magnetic field effects on the MHD flow and heat transfer in a rectangular duct

Tezer‐Sezgin,

Türk

2024

Z Angew Math Mech

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We consider the effect of time dependent magnetic field on the natural convection magnetohydrodynamic flow in a rectangular duct. The flow is two‐dimensional, unsteady, laminar and the fluid is electrically conducting and incompressible. The heat transfer is taken into account using the Boussinesq approximation and the buoyancy force is included in the momentum equations for the thermal coupling. The flow is considered at low magnetic Reynolds number setting and hence, the induced magnetic field is neglected. The proposed model in which the governing equations are given in terms of stream function, vorticity and temperature, is approximated by using a Chebyshev spectral collocation method for the spatial discretisation coupled with a backward difference scheme that is unconditionally stable for the temporal integration. The flow and heat transfer characteristic are analysed for several definitions of applied time varying magnetic field. Increase of the Hartmann number and the time variation of the applied magnetic field, changes the flow behaviour, especially at transient time levels and at the steady‐state.

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Section: Introductionmentioning

confidence: 99%

Time dependent magnetic field effects on the MHD flow and heat transfer in a rectangular duct

Tezer‐Sezgin,

Türk

2024

Z Angew Math Mech

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“…They showed that the magnitude of the stream function depends on the type of the inclination angle. Selvitopi [18] applied Galerkin FEM to MHD duct flow equations. Impact of the time-varied oblique magnetic field on flow is anlayzed.…”

Section: Introductionmentioning

confidence: 99%

The Impact of Inclined Magnetic Field on Streamlines in a Constricted Lid-Driven Cavity

GÜRBÜZ ÇALDAĞ,

ÇELİK

2024

Sakarya University Journal of Science

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The influence of oriented magnetic field on the incompressible and electrically conducting flow is investigated in a square cavity with a moving top wall and a no-slip constricted bottom wall. Radial basis function (RBF) approximation is employed to velocity-stream function-vorticity formulation of MHD equations. Numerical results are shown in terms of streamlines for different values of Hartmann number M, orientation angle of magnetic field ϴ and the height of the constricted bottom wall hc with a fixed Reynolds number. It is obtained that the number of vortices increases as either hc or M increases. However, the increase in ϴ leads to decrease the number of vortices. Formation of vortices depends on not only the strength and the orientation of the magnetic field but also the constriction of the bottom wall.

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Numerical investigation of damped wave type MHD flow with time-varied external magnetic field

Cited by 2 publications

References 19 publications

Time dependent magnetic field effects on the MHD flow and heat transfer in a rectangular duct

Time dependent magnetic field effects on the MHD flow and heat transfer in a rectangular duct

The Impact of Inclined Magnetic Field on Streamlines in a Constricted Lid-Driven Cavity

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