Floquet instability of a gravity modulated Rayleigh–Benard problem in an anisotropic porous medium

Saravanan, S.; Purusothaman, A.

doi:10.1016/j.ijthermalsci.2009.04.001

Cited by 30 publications

(14 citation statements)

References 11 publications

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“…This leads to the appearance of a modified gravity, collinear with actual gravity, in the form of a time-periodic gravity field perturbation and is known as gravity modulation or g-jitter in the literature [Malashetty and Padmavathi (1997); Rees and Pop (2002, 2001; Govender (2005a,b); Kuznetsov (2005Kuznetsov ( , 2006a; Siddhavaram and Homsy (2006); Strong (2008a,b); Razi et al (2009);Saravanan and Purusothaman (2009); Saravanan and Arunkumar (2010); Sivakumar (2010, 2011)) and references therein].…”

Section: List Of Variables Latin Symbolsmentioning

confidence: 99%

An analytical study of nonlinear double-diffusive convection in a porous medium under temperature/gravity modulation

2011

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The article deals with nonlinear thermal instability problem of double-diffusive convection in a porous medium subjected to temperature/gravity modulation. Three types of imposed time-periodic boundary temperature (ITBT) are considered. The effect of imposed time-periodic gravity modulation (ITGM) is also studied in this problem. In the case of ITBT, the temperature gradient between the walls of the fluid layer consists of a steady part and a time-dependent periodic part. The temperature of both walls is modulated in this case. In the problem involving ITGM, the gravity field has two parts: a constant part and an externally imposed time-periodic part. Using power series expansion in terms of the amplitude of modulation, which is assumed to be small, the problem has been studied using the GinzburgLandau amplitude equation. The individual effects of temperature and gravity modulation on heat and mass transports have been investigated in terms of Nusselt number and Sherwood number, respectively. Further the effects of various parameters on heat and mass transports have been analyzed and depicted graphically.

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Section: List Of Variables Latin Symbolsmentioning

confidence: 99%

An analytical study of nonlinear double-diffusive convection in a porous medium under temperature/gravity modulation

2011

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“…On the other hand, a lot of attention has been paid in recent times to the heat convection induced by gravitational forces. Saravanan et al (2009) studied the effect of gravity modulation in porous media. The effect on the onset of thermal convection in a liquid and porous surface is…”

Section: Introductionmentioning

confidence: 99%

Effect of Variable Viscosity and Gravity Modulation on Linear and Non-Linear Rayleigh-Benard Convection in Viscoelastic Ferromagnetic Liquids

Roopa*,

Uma

2020

IJITEE

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The combined effect of various parameters of gravity modulation on the onset of ferroconvection is studied for both linear and non-linear stability. The effect of various parameters of ferroconvection is studied for linear stability analysis. The resulting seven-mode generalized Lorenz model obtained in non-linear stability analysis is solved using Runge -Kutta-Felberg 45 method to analyze the heat transfer. Consequently the individual effect of gravity modulation on heat transport has been investigated. Further, the effect of physical parameters on heat transport has been analyzed and depicted graphically. The low-frequency gravity modulation is observed to get an effective influence on the stability of the system. Therefore ferro convection can be advanced or delayed by controlling different governing parameters. It shows that the influence of gravity modulation stabilizes system.

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“…Initial studies for flow and heat transfer in a pure fluid subjected to gravity modulation have been done by Gresho and Sani [4] and Gershuni et al [5]. But the study of this phenomena in a porous medium c 2012 Verlag der Zeitschrift für Naturforschung, Tübingen · http://znaturforsch.com is comparatively new, there are only a few articles available: Malashetty and Padmavathi [6], Alex and Patil [7,8], Govender [9,10], Bhadauria et al [11], and Saravanan [12,13]. Recently, Srivastava and Bhadauria [14] investigated the gravity modulation in mushy layer.…”

Section: Introductionmentioning

confidence: 99%

Gravity Modulation of Thermal Instability in a Viscoelastic Fluid Saturated Anisotropic Porous Medium

Bhadauria

Srivastava

Sacheti

et al. 2012

Zeitschrift Für Naturforschung A

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The present paper deals with a thermal instability problem in a viscoelastic fluid saturating an anisotropic porous medium under gravity modulation. To find the gravity modulation effect, the gravity field is considered in two parts: a constant part and an externally imposed time-dependent periodic part. The time-dependent part of the gravity field, which can be realized by shaking the fluid, has been represented by a sinusoidal function. Using Hill's equation and the Floquet theory, the convective threshold has been obtained. It is found that gravity modulation can significantly affect the stability limits of the system. Further, we find that there is a competition between the synchronous and subharmonic modes of convection at the onset of instability. Effects of various parameters on the onset of instability have also been discussed.

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Floquet instability of a gravity modulated Rayleigh–Benard problem in an anisotropic porous medium

Cited by 30 publications

References 11 publications

An analytical study of nonlinear double-diffusive convection in a porous medium under temperature/gravity modulation

An analytical study of nonlinear double-diffusive convection in a porous medium under temperature/gravity modulation

Effect of Variable Viscosity and Gravity Modulation on Linear and Non-Linear Rayleigh-Benard Convection in Viscoelastic Ferromagnetic Liquids

Gravity Modulation of Thermal Instability in a Viscoelastic Fluid Saturated Anisotropic Porous Medium

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