Instability of the miscible magnetic/non-magnetic fluid interface

Krakov, M. S.; Zakinyan, Arthur; Zakinyan, Anastasia A.

doi:10.1017/jfm.2020.1128

Cited by 8 publications

(9 citation statements)

References 21 publications

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“…Magnetostatic instability can develop at the interface where immobile magnetic and non-magnetic fluids contact, as demonstrated in Krakov et al. (2021). With the above-described mechanisms of instability, perturbations developed at the point where the flows converge, and the waves travelled along the diffusion front.…”

Section: Resultsmentioning

confidence: 90%

“…The code's validation has been done first for the case of H = 0, u = 0 (see details in Krakov et al. 2021). In this case, a difference from the exact solution of the diffusion equation of less than 1 % was obtained on a grid with steps Δ x = 0.02, Δ y = 0.02.…”

Section: Methodsmentioning

confidence: 99%

“…The average density of particles covered with the layer of oleic acid in the magnetic fluid (Krakov et al. 2021), . By analogy with the coefficient of thermal expansion , we use the solutal expansion coefficient (Eckert, Acker & Shi 2004; Islam, Sharif & Carlson 2013).…”

Section: Formulation Of the Problem And Governing Equationsmentioning

confidence: 99%

“…The magnetic field was normal to the diffusion front. In Krakov, Zakinyan & Zakinyan (2021), the instability of the flat diffusion front in the perpendicular magnetic field was studied numerically and experimentally for immobile fluids in the Hele-Shaw cell. It has been demonstrated that the magnetic field causes the development of magnetostatic instability of the front, and that, as the magnetic field intensity increases, the wavelength of the unstable perturbations decreases.…”

Section: Introductionmentioning

confidence: 99%

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Waves and instability at the interface of two flows of miscible magnetic and non-magnetic fluids

Krakov

2023

J. Fluid Mech.

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This study presents the results of a numerical simulation of two horizontal flows of miscible magnetic and non-magnetic fluids at low Reynolds numbers in a vertical uniform magnetic field. The problem is solved by taking into account the dependence of the viscosity and magnetization of the fluid on the concentration of the magnetic phase, and the dependence of the magnetic field on the concentration. Four flow modes are found: the diffusion mixing mode with a flat diffusion front, the wave mode and two different plug flow modes. In the first of them, the growing wave instability forms the plugs, whereas in the second, the growing magnetostatic instability does. A combination of dimensionless criteria is found that determines the transition from one mode to another. The dependences of the phase velocity of the waves on the diffusion front and the period of the oscillations of the front near the point of the confluence of the two flows on dimensionless criteria are found.

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Section: Resultsmentioning

confidence: 90%

Section: Methodsmentioning

confidence: 99%

Section: Formulation Of the Problem And Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Waves and instability at the interface of two flows of miscible magnetic and non-magnetic fluids

Krakov

2023

J. Fluid Mech.

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“…It also known that an external electric or magnetic field directed tangentially to the unperturbed interface has a stabilizing effect [3,4]. Thus, the interest to study the interfacial dynamics under the action of external electric field is caused by the possibility of suppressing and controlling hydrodynamic instabilities [5][6][7][8][9][10][11][12][13]. In this work, we investigate the dynamics of interface between dielectric liquids at the regime of stabilized KH instability by tangential electric field.…”

Section: Introductionmentioning

confidence: 99%

Chaotic Dynamics of the Interface between Dielectric Liquids at the Regime of Stabilized Kelvin-Helmholtz Instability by a Tangential Electric Field

Kochurin

Зубарев

2021

Fluids

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The nonlinear dynamics of the interface between two immiscible dielectric liquids at the regime of suppressed Kelvin-Helmholtz instability by external horizontal electric field is studied theoretically. The initial equations of the fluids motion are reduced to a single weakly nonlinear integro-differential equation that describes the interaction of solitary waves (rational solitons) propagating along the interface. The dynamics of two interacting solitons is regular and integrable; they can combine into a stable wave packet (breather). It is shown that the interaction of three solitons becomes complex and, for a wide rang of initial conditions, chaotic. The numerically obtained Poincaré sections demonstrate the destruction of toroidal trajectories in the phase space during the transition of the system to a chaotic regime of fluid motion. Such a behaviour is consistent with the Kolmogorov-Arnold-Moser theory describing quasi-periodic chaotic motion in Hamiltonian systems. At the developed chaotic state, the system fast loses the information on its initial state; the corresponding estimate for Lyapunov exponent is obtained. From the physical point of view, the chaotic behavior of the system is related with structural instability of the soliton triplet. The triplet can decay into a solitary wave and stable breather consisting of two interacting solitons.

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Influence of the solution pH on the design of a hydro-mechanical magneto-hydraulic sealing device

Zhao

et al. 2022

Engineering Failure Analysis

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Instability of the miscible magnetic/non-magnetic fluid interface

Abstract: Abstract

Cited by 8 publications

References 21 publications

Waves and instability at the interface of two flows of miscible magnetic and non-magnetic fluids

Waves and instability at the interface of two flows of miscible magnetic and non-magnetic fluids

Chaotic Dynamics of the Interface between Dielectric Liquids at the Regime of Stabilized Kelvin-Helmholtz Instability by a Tangential Electric Field

Influence of the solution pH on the design of a hydro-mechanical magneto-hydraulic sealing device

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