Naissance de la convection dans une cavité poreuse 3D soumise à des vibrations de hautes fréquences

Fingering convection in a horizontal doubly stratified fluid-saturated porous medium is examined under the influence of modulating gravitational field. The Brinkman model of momentum transfer is considered, and the Boussinesq approximation is assumed for natural convection. Floquet theory is employed to determine the onset condition within the framework of linear theory. Continued fractions that can handle arbitrary modulational parameters has been used to predict the dynamic instability regions at the marginal state and critical instability boundaries. Certain combinations of solutal Rayleigh and Schmidt numbers give rise to the occurrence of doubly unstable regions. An increase in the modulation amplitude always encourages instability. The competition between synchronous and subharmonic instability modes is observed for a certain range of values of the parameters. Solutal convection is found to introduce closed disconnected instability loops at the marginal state. It is seen that gravity modulation effects disappear for higher modulational frequencies. The results could be of use in applications like enhanced oil recovery from geothermal reservoirs and solidification of binary alloys, among others.

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Floquet Instability of Gravity-Modulated Salt Fingering in a Porous Medium

Saravanan

Keerthana

2017

Ind. Eng. Chem. Res.

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Investigation of Magneto-convection in Viscoelastic Fluid Saturated Anisotropic Porous Layer Under Local Thermal Non-equilibrium Condition

Srivastava,

Bharty,

Mahato

2024

International Journal of Applied Mathematics, Computational Science and Systems Engineering

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The problem of magneto-convection in viscoelastic fluid saturated anisotropic porous layer under local thermal non-equilibrium (LTNE) effect is investigated. Extended Darcy model with time derivative term for viscoelastic fluid of the Oldroyd type with an externally imposed vertical magnetic field is used to model the momentum equation. The entire investigation has been split into two parts: (i) linear stability analysis (ii) weakly non-linear stability analysis. We perform normal mode technique to examine linear stability analysis while truncated representation of Fourier series method is used for weakly non-linear stability analysis. The onset of convection is set in through oscillatory rather than stationary mode due to competition between the processes of thermal, magnetic effect and viscoelasticity. A comparative study between anisotropic and isotropic porous medium is made as a function of Q (Chandrasekhar number), 𝛤 (non dimensional inter phase heat transfer coefficient), 𝜆1 (Relaxation time) and λ2 (Retardation time). Apart from this, Q, 𝛤 and λ2 stabilize the system in oscillatory case while 𝜆1 destabilize the system. Furthermore 𝜉 (mechanical anisotropic parameter), 𝜂s (thermal anisotropic parameter for solid phase), destabilizes the system and 𝜂f (thermal anisotropic parameter for fluid phase) stabilizes the system. The effect of Q, 𝜆1, λ2, 𝛤, 𝜉, 𝜂f and 𝜂s on heat transfer is also examined.

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Naissance de la convection dans une cavité poreuse 3D soumise à des vibrations de hautes fréquences

Abstract: dans une cavité poreuse 3D soumise à des vibrations de hautes fréquences Comptes Rendus de l'Académie des Sciences-Series IIB-Mechanics, 04. pp. 283-286.

Cited by 2 publications

References 4 publications

Floquet Instability of Gravity-Modulated Salt Fingering in a Porous Medium

Floquet Instability of Gravity-Modulated Salt Fingering in a Porous Medium

Investigation of Magneto-convection in Viscoelastic Fluid Saturated Anisotropic Porous Layer Under Local Thermal Non-equilibrium Condition

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