Weakly Nonlinear Stability Analysis of Temperature/Gravity-Modulated Stationary Rayleigh–Bénard Convection in a Rotating Porous Medium

Bhadauria, B. S.; Siddheshwar, P. G.; Kumar, Jogendra; Suthar, Om P.

doi:10.1007/s11242-011-9925-4

Cited by 53 publications

(28 citation statements)

References 45 publications

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“…They recovered viscous flow results of Venezian (1969), as a special case when the value of the porous parameter tends to zero. The related problem has been extensively investigated by Chhuon and Caltagirone (1979), Malashetty and Wadi (1999), Bhadauria (2007a, b, c), Bhadauria and Sherani (2008), Bhadauria and Srivastava (2010), Bhadauria and Siddheshwar (2012), Siddheshwar et al (2012), and Kiran (2013, 2014a, b, c).…”

Section: Introductionmentioning

confidence: 99%

Chaotic Convection in a Porous Medium Under Temperature Modulation

Kiran

Bhadauria

2015

Transp Porous Med

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The work proposed by Vadász et al. (Transp Porous Media 103:279-294, 2014) motivated us to take up the problem of chaotic convection under temperature modulation for study. The analysis of buoyancy driven convection for moderate Prandtl number in a fluid saturated porous layer heated from below and subject to temperature modulation is presented. It has been investigated that a better combination of values of , δ and scaled Rayleigh number Ra provides a way for chaos. It is found that the temperature modulation (suitable choice of frequency , amplitude δ along with scaled Rayleigh number Ra) of the boundaries is to enhance the behaviour of the chaotic motion. The lower boundary plate modulation is similar to the gravity modulation given by Vadász et al. (Transp Porous Media 103:279-294, 2014) and Bhadauria and Kiran (Int J Heat Mass Transf 84:610-624, 2015). It is also found that heat transfer results conform the results of Bhadauria and Kiran (Transp

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Section: Introductionmentioning

confidence: 99%

Chaotic Convection in a Porous Medium Under Temperature Modulation

Kiran

Bhadauria

2015

Transp Porous Med

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“…The objective of the investigation was to establish the condition when the motionless solution (51) is not stable and consequently a resulting convection pattern appears. Therefore a linear stability analysis was employed, representing the solution as a sum of the basic solution (51) and small perturbations in the form…”

Section: Natural Convection Due To Centrifugal Buoyancymentioning

confidence: 99%

Instability and Convection in Rotating Porous Media: A Review

Vadász

2019

Fluids

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A review on instability and consequent natural convection in rotating porous media is presented. Taylor-Proudman columns and geostrophic flows exist in rotating porous media just the same as in pure fluids. The latter leads to a tendency towards two-dimensionality. Natural convection resulting from density gradients in a gravity field as well as natural convection induced by density gradients due to the centripetal acceleration are being considered. The former is the result of gravity-induced buoyancy, the latter is due to centripetally-induced buoyancy. The effect of Coriolis acceleration is also discussed. Linear stability analysis as well as weak nonlinear solutions are being derived and presented.

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“…1). According to consideration, the governing equations of the model for the motion of an incompressible couple stress fluid in the absence of body couple are obtained as follows (Malashetty and Kollur [9], Gupta and Singh [24] and Bhadauria et al [27]):…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…There are in-homogeneous GL equations also. Bhaduria et al [27] analyzed the effect of thermal/gravity modulation in a rotating fluid saturated porous layer by performing non-linear stability using Ginburg-Landau equations. Srivastava et al [28] and Gupta and Bhadauria [29] have done studies on double diffusion with soret effect.…”

Section: Introductionmentioning

confidence: 99%

Study of heat and mass transport in Couple-Stress liquid under G-jitter effect

Kumar

Vanita

Gupta

2018

Ain Shams Engineering Journal

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In the present paper, we deal with the effect of G-jitter (time periodic gravity modulation) on the stability of double diffusive convection in couple stress liquid by method of nonlinear analysis. The infinitesimal disturbances are expanded in terms of power series of amplitude of modulation. Couple stress term has been employed in momentum equation. For the stationary convection, the Ginzburg-Landau equation has been used to investigate the effect of modulation on heat and mass transfer. The effect of Prandtl number, couple stress parameter, Lewis number and solute Rayleigh number has also been investigated. Ó 2016 Faculty of Engineering, Ain Shams University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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Weakly Nonlinear Stability Analysis of Temperature/Gravity-Modulated Stationary Rayleigh–Bénard Convection in a Rotating Porous Medium

Cited by 53 publications

References 45 publications

Chaotic Convection in a Porous Medium Under Temperature Modulation

Chaotic Convection in a Porous Medium Under Temperature Modulation

Instability and Convection in Rotating Porous Media: A Review

Study of heat and mass transport in Couple-Stress liquid under G-jitter effect

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