Magnetohydrodynamic natural convection in a vertical cylindrical cavity with sinusoidal upper wall temperature

Kakarantzas, Sotiris; Sarris, Ioannis E.; Grecos, Alkis; Vlachos, N. S.

doi:10.1016/j.ijheatmasstransfer.2008.06.035

Cited by 60 publications

(20 citation statements)

References 18 publications

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“…Figure 2a illustrates the comparison between numerical and experimental measurements at azimuthal velocity for high Ha and low conductivity. Figure 2b presents a comparison of the present results with those of reference [11], and shows that the most sensitive quantity to the grid arrangement (i.e., local Nusselt number at the top disk) is closely predicted by the present model.…”

Section: Validationsupporting

confidence: 62%

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Magnetohydrodynamic co-rotating flow in a vertical cylindrical container

Mahfoud

Bendjaghlouli

Bessaïh

2016

Numerical Heat Transfer, Part A: Applications

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The effect of an external axial magnetic field on the liquid metal flow produced by co-rotation of the top and bottom disks in a vertical cylindrical container with a vertical temperature gradient is numerically analyzed. The governing Navier-Stokes, energy, and potential equations along with appropriate boundary conditions are solved using the finite-volume method. Comparisons with the previous results were performed and found to be in excellent agreement. It was observed that the Reynolds number is increased, and the axisymmetric basic state loses stability for circular patterns of axisymmetric vortices and spiral waves. In the mixed convection case the axisymmetric mode disappears, giving an asymmetric mode m ¼ 1. It was also found that the primary thresholds, Re cr corresponding to modes m ¼ 1 and 2, increase with an increase in Hartmann number (Ha). We can therefore conclude that when the magnitude of the magnetic field exceeds a certain value, the instability becomes a steady bifurcation. Finally, stability diagrams were established according to the numerical results of this investigation. These diagrams show the evolution of primary thresholds as a function of Hartmann number for various values of Richardson number. ARTICLE HISTORY

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Section: Validationsupporting

confidence: 62%

“…The corresponding magnetohydrodynamic (MHD) problem has been studied in detail. Several previous studies can be found in the literature [7][8][9][10][11], describing asymptotic flow solutions with a strong axial and horizontal magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Magnetohydrodynamic co-rotating flow in a vertical cylindrical container

Mahfoud

Bendjaghlouli

Bessaïh

2016

Numerical Heat Transfer, Part A: Applications

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“…The results showed that increasing Hartmann number is not straightforward connected with the resulting flow patterns in the flow configuration. Magnetohydrodynamic natural convection in a vertical cylindrical cavity with sinusoidal upper wall temperature has been investigated by Kakarantzas et al [7]. They concluded that the increase of Hartmann number damps the fluid motion and thus heat conduction progressively dominates over convection heat transfer.…”

Section: Introductionmentioning

confidence: 99%

Natural convection of nanofluids in an enclosure between a circular and a sinusoidal cylinder in the presence of magnetic field

Sheikholeslami

Gorji-Bandpy

Ganji

et al. 2012

International Communications in Heat and Mass Transfer

214

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“…In crystal growth, the magnetic fields are used to suppress the convective motion induced by the arising strong fluxes to control the flow in the melt and consequently the crystal quality. Recently, Kakarantzas (2009) have examined the magnetohydrodynamic natural convection in a vertical cylinder cavity with sinusoidal upper wall temperature.…”

Section: Introductionmentioning

confidence: 99%

Unsteady mixed convection flow of nanofluid on a rotating cone with magnetic field

Nadeem

Saleem

2013

Appl Nanosci

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In this article, we have presented the unsteady flow of a rotating nanofluid in a rotating cone in the presence of magnetic field. The highly nonlinear coupled partial differential equations are simplified with the help of suitable similarity transformations. The reduced nonlinear coupled equations are solved analytically with the help of homotopy analysis method. The physical features of the parameters of interest are discussed by plotting graphs and through tables.

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Magnetohydrodynamic natural convection in a vertical cylindrical cavity with sinusoidal upper wall temperature

Cited by 60 publications

References 18 publications

Magnetohydrodynamic co-rotating flow in a vertical cylindrical container

Magnetohydrodynamic co-rotating flow in a vertical cylindrical container

Natural convection of nanofluids in an enclosure between a circular and a sinusoidal cylinder in the presence of magnetic field

Unsteady mixed convection flow of nanofluid on a rotating cone with magnetic field

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