On the Characterization of Nonoscillatory Motions in Triply Diffusive Convection

Prakash, Jyoti; Vaid, Kanu; Bala, R.

doi:10.1615/interjfluidmechres.v41.i5.20

Cited by 3 publications

(2 citation statements)

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“…To the authors knowledge, no such results have been obtained so far for the hydrodynamical systems with more than three components. The results derived herein are uniformly valid for any combination of the rigid and free boundaries and the results of doubly diffusive (Banerjee et al, 1981;Gupta et al, 1986) and triply diffusive convection (Prakash et al, 2014a(Prakash et al, ,b,c, 2015 follow as a consequence. Further, the importance of the results obtained herein lies in that these results may be used for any rotatory hydrodynamic multicomponent system where no mathematical calculation or numerical computation is possible.…”

Section: Introductionsupporting

confidence: 63%

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The onset of convection in a rotating multicomponent fluid layer

Prakash¹,

Singh²,

Kumar³

et al. 2016

jtam

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The onset of convective instability is analysed in a rotating multicomponent fluid layer in which density depends on n stratifying agents (one of them is heat) having different diffusivities. Two problems have been analysed mathematically. In the first problem, a sufficient condition is derived for the validity of the principle of the exchange of stabilities. Further, when the complement of this condition holds good, oscillatory motions of neutral or growing amplitude can exist, and thus it is important to derive upper bounds for the complex growth rate of such motions when at least one of the bounding surfaces is rigid so that exact solutions of the problem in closed form are not obtainable. Thus, as the second problem, bounds for the complex growth rates are also obtained. Above results are uniformly valid for quite general nature of the bounding surfaces.

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Section: Introductionsupporting

confidence: 63%

“…occurrence of stationary convection) for the classical Rayleigh-Benard instability problem. Prakash et al (2014a) established such a criterion for the triply diffusive convection problem.…”

Section: Introductionmentioning

confidence: 99%

The onset of convection in a rotating multicomponent fluid layer

Prakash¹,

Singh²,

Kumar³

et al. 2016

jtam

Self Cite

View full text Add to dashboard Cite

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Onset of convection in a multicomponent fluid layer in the presence of a uniform magnetic field

Prakash

Kumar

Lata

2017

J Appl Mech Tech Phy

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On the validity of the exchange principle in rotatory electrothermoconvection

Kumari,

Kumar,

Prakash

2024

Zeitschrift Für Naturforschung A

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The electrothermoconvection in a rotating dielectric fluid layer heated from below (or above) is studied analytically using linear stability theory. First, we derive the necessary conditions for oscillatory motion when the fluid layer is heated from below and from above. Then as a consequence, sufficient conditions for the validity of the exchange principle are derived for the two configurations in terms of the parameters of the systems alone. The results hold for free boundaries for all wave numbers and for rigid boundaries with some restrictions. Further, the results for electrothermoconvection without rotation, rotatory Rayleigh–Bénard convection and Rayleigh–Bénard convection are also obtained as special cases which validate the existing results. To the best of author’s knowledge such results are not reported in the literature as far as the domain of electrothermoconvection studies is concerned.

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On the Characterization of Nonoscillatory Motions in Triply Diffusive Convection

Cited by 3 publications

References 0 publications

The onset of convection in a rotating multicomponent fluid layer

The onset of convection in a rotating multicomponent fluid layer

Onset of convection in a multicomponent fluid layer in the presence of a uniform magnetic field

On the validity of the exchange principle in rotatory electrothermoconvection

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