Effect of rotation on the stability of a doubly diffusive fluid layer

Pearlstein, Arne J.

doi:10.1017/s0022112081001390

Cited by 66 publications

(45 citation statements)

References 32 publications

(17 reference statements)

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“…In linear stability analysis, it has been found that the rotation inhibits the onset of convective instability (Pearlstein, 1981). When the rotation strongly affects DC, the onset Rayleigh number, Ra c , would be in the form of…”

Section: The Classical Description Of DC Instabilitymentioning

confidence: 99%

The instability of diffusive convection and its implication for the thermohaline staircases in the deep Arctic Ocean

Zhou

et al. 2014

Ocean Sci.

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Abstract. In the present study, the classical description of diffusive convection is updated to interpret the instability of diffusive interfaces and the dynamical evolution of the bottom layer in the deep Arctic Ocean. In the new consideration of convective instability, both the background salinity stratification and rotation are involved. The critical Rayleigh number of diffusive convection is found to vary from 10 3 to 10 11 in the deep Arctic Ocean as well as in other oceans and lakes. In such a wide range of conditions, the interfaceinduced thermal Rayleigh number is shown to be consistent with the critical Rayleigh number of diffusive convection. In most regions, background salinity stratification is found to be the main hindrance to the occurrence of convecting layers. With the new parameterization, it is predicted that the maximum thickness of the bottom layer is 1051 m in the deep Arctic Ocean, which is close to the observed value of 929 m. The evolution time of the bottom layer is predicted to be ∼ 100 yr, which is on the same order as that based on 14 C isolation age estimation.

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Section: The Classical Description Of DC Instabilitymentioning

confidence: 99%

The instability of diffusive convection and its implication for the thermohaline staircases in the deep Arctic Ocean

Zhou

et al. 2014

Ocean Sci.

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“…There are several studies available in which phenomena related to the onset of convection in a rotating porous medium have been investigated. Few of them are: Pearlstein (1981), Chakrabarti and Gupta (1981), Patil and Vaidyanathan (1983) Patil et al (1990), Qin and Kaloni (1995), Vadasz (1998), Desaive et al (2002), Govender (2006Govender ( , 2008, Maharaj and Saneshan (2005), Riahi (2005). Bhadauria (2007bBhadauria ( ,c, 2008a, Bhadauria and Suthar (2008b), and Vanishree and Siddheshwar (2010).…”

Section: Introductionmentioning

confidence: 99%

Natural Convection in a Nanofluid Saturated Rotating Porous Layer: A Nonlinear Study

Bhadauria

Agarwal

2011

Transp Porous Med

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The present paper deals with linear and nonlinear analysis of thermal instability in a rotating porous layer saturated by a nanofluid. Momentum equation with Brinkman term, involving the Coriolis term and incorporating the effect of Brownian motion along with thermophoresis has been considered. Linear stability analysis is done using normal mode technique, while for nonlinear analysis, a minimal representation of the truncated Fourier series, involving only two terms, has been used. Stationary and oscillatory modes of convection have been studied. A weak nonlinear analysis is used to obtain the concentration and thermal Nusselt numbers. The behavior of the concentration and thermal Nusselt numbers is investigated by solving the finite amplitude equations using a numerical method. Obtained results have been presented graphically and discussed in details.Keywords Nanofluid · Porous medium · Natural convection · Rotation · Horton-Roger-Lapwood problem · Brinkman model List of Symbols VariablesDimensional layer depth k T Effective thermal conductivity of porous medium k m Thermal diffusivity of porous medium

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“…Few of them are Perlstein [6], Chakrabarti and Gupta [7], Patil and Vidyanathan [8], Vadasz [9]. Convection in porous medium has been studied by many authors including Horton and Roger [10], Lapwood [11], Nield [12], Rudraiah and Malshetty [13], Murray and Chen [14], Bhadauria [15], Vafai [16], Neild and Bejan [17].…”

Section: Introductionmentioning

confidence: 99%

Convective Transport of Nanofluid Saturated with Porous Layer

Kumar¹

2017

AJAM

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Abstract:In the present article, the onset of convection in a horizontal layer of porous medium saturated by ananofluid is investigated analytically using linear and weakly nonlinear analysis. The model used for the nanofluid incorporates the effect of Brownian motion and thermophoresis. The effect of Raleigh-Darcy number, Lewis number, modified diffusivity ratio, on the stability of the system is investigated. Stationary and Oscillatory modes of convections has been studied. The linear stability analysis is based on normal mode technique, while then on linear theory is based on the truncated representation of Fourier series method. A weekly nonlinear analysis is used to obtain the concentration and thermal Nusselt number. The behavior of the concentration and thermal Nusselt number is investigated by solving the finite amplitude equations. Obtained results have been presented graphically and discussed in details.

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Effect of rotation on the stability of a doubly diffusive fluid layer

Cited by 66 publications

References 32 publications

The instability of diffusive convection and its implication for the thermohaline staircases in the deep Arctic Ocean

The instability of diffusive convection and its implication for the thermohaline staircases in the deep Arctic Ocean

Natural Convection in a Nanofluid Saturated Rotating Porous Layer: A Nonlinear Study

Convective Transport of Nanofluid Saturated with Porous Layer

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