Modulated Centrifugal Convection in a Vertical Rotating Porous Layer Distant from the Axis of Rotation

Om,; Bhadauria, B. S.; Khan, Aiyub

doi:10.1007/s11242-008-9315-8

Cited by 20 publications

(10 citation statements)

References 15 publications

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“…He found that the effect of modulation is stabilizing for most of the configurations. Suthar et al [32] investigated the effect of the rotation speed …”

Section: Introductionmentioning

confidence: 99%

Effect of rotational speed modulation on heat transport in a fluid layer with temperature dependent viscosity and internal heat source

Bhadauria

Kiran

2014

Ain Shams Engineering Journal

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In this paper, a theoretical investigation has been carried out to study the combined effect of rotation speed modulation and internal heating on thermal instability in a temperature dependent viscous horizontal fluid layer. Rayleigh-Be´nard momentum equation with Coriolis term has been considered to describe the convective flow. The system is rotating about it is own axis with non-uniform rotational speed. In particular, a time-periodic and sinusoidally varying rotational speed has been considered. A weak nonlinear stability analysis is performed to find the effect of modulation on heat transport. Nusselt number is obtained in terms of amplitude of convection and internal Rayleigh number, and depicted graphically for showing the effects of various parameters of the system. The effect of modulated rotation speed is found to have a stabilizing effect for different values of modulation frequency. Further, internal heating and thermo-rheological parameters are found to destabilize the system. Ó 2014 Production and hosting by Elsevier B.V. on behalf of Ain Shams University.

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“…He found that the effect of modulation is stabilizing for most of the configurations. Suthar et al [32] investigated the effect of the rotation speed …”

Section: Introductionmentioning

confidence: 99%

Effect of rotational speed modulation on heat transport in a fluid layer with temperature dependent viscosity and internal heat source

Bhadauria

Kiran

2014

Ain Shams Engineering Journal

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“…The same problem in a magnetic-fluid-filled porous medium in the presence of a magnetic field was then studied by Saravanan and Yamaguchi [9] and it was found that the magnetic field can be suitably adjusted depending on particle magnetization to enhance convection. Recently Om et al [10] analyzed the effect of rotation speed modulation on the onset of centrifugal convection and found that by applying modulation of a proper frequency to the rotation speed, it is possible to delay or advance the onset of centrifugal convection. All these works were carried out in the framework of linear theory.…”

Section: Introductionmentioning

confidence: 99%

Sharp nonlinear stability for centrifugal filtration convection in magnetizable media

Saravanan

Brindha

2011

Phys. Rev. E

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A nonlinear stability theory is adopted to study centrifugal thermal convection in a magnetic-fluid-saturated and differentially heated porous layer placed in a zero-gravity environment. The axis of rotation of the layer is placed within its boundaries that leads to an alternating direction of the centrifugal body force. An analysis through the variational principles is made to find the unconditional and sharp nonlinear limits. The compound matrix method is employed to solve the eigenvalue problems of the nonlinear and corresponding linear theories. The importance of nonlinear theory is established by demonstrating the failure of the linear theory in capturing the physics of the onset of convection.

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“…They predicted two-dimensional flow pattern at the threshold and found that the magnetic field has a destabilising effect and can be suitably adjusted depending on particle magnetisation to enhance convection. Recently Om et al [4] analysed the effect of rotation speed modulation on the onset of centrifugal convection using linear stability analysis and found that by applying modulation of proper frequency to the rotation speed, it is possible to delay or advance the onset of centrifugal convection.…”

Section: Introductionmentioning

confidence: 99%

Global stability of centrifugal filtration convection

Saravanan¹,

Brindha²

2010

Journal of Mathematical Analysis and Applications

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A nonlinear stability analysis is performed to study the onset of convection in a fluid saturated porous layer subject to alternating direction of the centrifugal body force. By introducing a suitable energy functional, the analysis is carried out for the Darcy and the Brinkman models of flow through porous media. The nonlinear result is unconditional and its sharpest limit is determined and is compared with the corresponding linear limit. The failure of linear theory in describing the instability is established in a certain region of the parameter space where possible subcritical instabilities may arise. The stability boundaries are discussed graphically for various values of the Darcy number and comparison is made with the available known results.

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Modulated Centrifugal Convection in a Vertical Rotating Porous Layer Distant from the Axis of Rotation

Cited by 20 publications

References 15 publications

Effect of rotational speed modulation on heat transport in a fluid layer with temperature dependent viscosity and internal heat source

Effect of rotational speed modulation on heat transport in a fluid layer with temperature dependent viscosity and internal heat source

Sharp nonlinear stability for centrifugal filtration convection in magnetizable media

Global stability of centrifugal filtration convection

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