Convective instability of a layer of a ferromagnetic fluid rotating about a vertical axis

Gupta, M. Das; Gupta, Ajay

doi:10.1016/0020-7225(79)90090-9

Cited by 90 publications

(37 citation statements)

References 2 publications

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“…Thus the threshold of ferroconvection in a porous layer with second sound is hastened as the magnetic equation of state becomes more and more nonlinear. Also, the destabilizing effect of 3 M is almost insignificant when N is small.…”

Section: Resultsmentioning

confidence: 98%

“… is to contract the convection cell size and that of 3 M and  is to enlarge the size of convection cell. Thus all the parameters of the study have a say on the aspect ratio of the convection cell with the effect of 1 …”

Section: Damentioning

confidence: 99%

“…This form of heat transfer can be useful for cases where conventional convection fails to provide adequate heat transfer, for instance, in miniature micro scale devices or under reduced gravity conditions. Gupta and Gupta [3] investigated thermal instability in a layer of ferromagnetic fluid subject to coriolis force and permeated by a vertical magnetic field. It is substantiated that overstability cannot occur if the Prandtl number is greater than unity.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Gravitational Instability in a Ferromagnetic Fluid Saturated Porous Medium with Non-Classical Heat Conduction

Mathew¹,

Maruthamanikandan²,

Nagouda³

2013

IOSR-JM

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Section: Resultsmentioning

confidence: 98%

Section: Damentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Gravitational Instability in a Ferromagnetic Fluid Saturated Porous Medium with Non-Classical Heat Conduction

Mathew¹,

Maruthamanikandan²,

Nagouda³

2013

IOSR-JM

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“…Das Gupta and Gupta [10] have studied the convective instability in a rotating layer of ferrofluids between two free boundaries. Rudraiah and Sekhar [11] have analyzed the effect of uniform distribution of heat source on the onset of stationary ferroconvection.…”

Section: Introductionmentioning

confidence: 99%

Effects of Coriolis force and different basic temperature gradients on Marangoni ferroconvection

Shivakumara

Nanjundappa

2006

Acta Mechanica

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Summary. The effect of Coriolis force and different forms of basic temperature gradients on the onset of Marangoni ferroconvection in a horizontal layer of ferrofluid is investigated theoretically. The lower boundary is assumed to be rigid-isothermal, while the upper free boundary on which the surface tension acts is non-deformable and insulating to temperature perturbations. The Galerkin technique is used to obtain the critical stability parameters. It is shown that convection sets in as oscillatory motions provided that the Prandtl number is less than unity. A mechanism for suppressing or augmenting Marangoni ferroconvection by rotation, nonlinearity of magnetization and different forms of basic temperature gradients is discussed in detail. It is found that the inverted parabolic temperature profile indicates a reinforcement of stability, whereas the step function temperature profile indicates a diminution of stability.Comparisons of results between the present and the existing ones are made under the limiting conditions and good agreement is found.

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“…Ferrofluids are known to exhibit peculiar characteristics when they are set to rotation and hence investigating the effects of rotation on thermal convective instability is scientifically and technologically important. Das Gupta and Gupta (1979) have studied thermal convective instability in a rotating layer of ferrofluid heated uniformly from below. Venkatasubramanian and Kaloni (1994) have discussed the effect of rotation on thermo-convective instability of a horizontal layer of ferrofluid confined between stress-free, rigid-paramagnetic and rigid-ferromagnetic boundaries.…”

Section: Introductionmentioning

confidence: 99%

Ferromagnetic Convection in a Rotating Ferrofluid Saturated Porous Layer

Shivakumara

Lee

Nanjundappa³

et al. 2010

Transp Porous Med

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The effect of Coriolis force on the onset of ferromagnetic convection in a rotating horizontal ferrofluid saturated porous layer in the presence of a uniform vertical magnetic field is studied. The boundaries are considered to be either stress free or rigid. The modified Brinkman-Forchheimer-extended Darcy equation with fluid viscosity different from effective viscosity is used to characterize the fluid motion. The condition for the occurrence of direct and Hopf bifurcations is obtained analytically in the case of free boundaries, while for rigid boundaries the eigenvalue problem has been solved numerically using the Galerkin method. Contrary to their stabilizing effect in the absence of rotation, increasing the ratio of viscosities, , and decreasing the Darcy number Da show a partial destabilizing effect on the onset of stationary ferromagnetic convection in the presence of rotation, and some important observations are made on the stability characteristics of the system. Moreover, the similarities and differences between free-free and rigid-rigid boundaries in the presence of buoyancy and magnetic forces together or in isolation are emphasized in triggering the onset of ferromagnetic convection in a rotating ferrofluid saturated porous layer. For smaller Taylor number domain, the stress-free boundaries are found to be always more unstable than in the

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Convective instability of a layer of a ferromagnetic fluid rotating about a vertical axis

Cited by 90 publications

References 2 publications

Gravitational Instability in a Ferromagnetic Fluid Saturated Porous Medium with Non-Classical Heat Conduction

Gravitational Instability in a Ferromagnetic Fluid Saturated Porous Medium with Non-Classical Heat Conduction

Effects of Coriolis force and different basic temperature gradients on Marangoni ferroconvection

Ferromagnetic Convection in a Rotating Ferrofluid Saturated Porous Layer

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