Influence of the Soret effect on convection of binary fluids

Hollinger, St.; Lücke, M.

doi:10.1103/physreve.57.4238

Cited by 31 publications

(3 citation statements)

References 32 publications

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“…Recall that 1 (1) = m 1 (h, t = 0), i.e. it is equal to the equilibrium surface magnetization [89,90], which is finite for h < 1, and zero in the disordered phase. Similarly, (0) 1 (1) > 0 for h 0 < 1 and zero otherwise.…”

Section: Local Magnetizationmentioning

confidence: 99%

Non-equilibrium quench dynamics in quantum quasicrystals

2013

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We study the non-equilibrium dynamics of a quasiperiodic quantum Ising chain after a sudden change in the strength of the transverse field at zero temperature. In particular, we consider the dynamics of the entanglement entropy and the relaxation of the magnetization. The entanglement entropy increases with time as a power law, and the magnetization is found to exhibit stretchedexponential relaxation. These behaviors are explained in terms of anomalously diffusing quasiparticles, which are studied in a wave packet approach. The nonequilibrium magnetization is shown to have a dynamical phase transition.

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Section: Local Magnetizationmentioning

confidence: 99%

Non-equilibrium quench dynamics in quantum quasicrystals

2013

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“…The Soret effect is a very important component of the study of any physical experiment that incorporates thermodiffusion. It gives rise to interaction between the thermal and solute gradients even when the fluid is at rest …”

Section: Introductionmentioning

confidence: 99%

Asymptotic behaviour of a closed‐loop thermosyphon with linear friction and viscoelastic binary fluid

Jiménez-Casas

2019

Math Methods in App Sciences

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Viscoelastic fluids represent a major challenge both from an engineering and from a mathematical point of view. Recently, we have shown that viscoelasticity induces chaos in closed-loop thermosyphons even when we consider binary fluids, this is, when we consider a solute in the fluid, as water and antifreezes, for example. In this work, we consider a linear friction law, and we show that in this case with the addition of a solute to the fluid we can prove, under some conditions, chaotic asymptotic behavior for suitable geometry of the circuit and heat flux or ambient temperature functions. KEYWORDS asymptotic behaviour, linear friction, thermosyphon, thermodiffusion, Soret effect, viscoelastic fluid MSC CLASSIFICATION 35B40; 35K; 35Q; 58J99; 74D05

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“…Asymmetric oscillations in thermosolutal convection were observed by Moore et al (1998) in a horizontal layer with free boundary conditions. Hollinger and Lücke (1998) have studied theoretically, in an infinite horizontal layer heated from below, the influence of the negative Soret coefficient on HFF 18,5 stationary and traveling patterns. The current state of knowledge concerning Rayleigh-Benard convection with Soret effect was summarized by Barten et al (1995).…”

Section: Introductionmentioning

confidence: 99%

Numerical study of thermosolutal convection with Soret effect in a square cavity

Rebaï¹,

Mojtabi²,

Safi³

et al. 2008

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

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Purpose-The purpose of this paper is to present a numerical and an analytical study of the thermohaline convection with Soret effect in a square enclosure filled with a binary fluid mixture. Design/methodology/approach-The horizontal boundaries of the enclosure are impermeable and heated from below while its vertical walls are assumed to be adiabatic and impermeable. The Navier-Stokes equations under the Boussinesq-Oberbeck approximation are solved numerically. The results are given for different values of the separation ratio. The critical Rayleigh number at the onset of convection is determined analytically and numerically. The Hopf frequency at the onset of convection is obtained. Findings-The existence of two stable stationary bifurcation branches is illustrated. Furthermore, it is shown that the existence of stable traveling waves in the transition from one branch to the other depends on the value of the separation ratio. For some values of Rayleigh number, asymmetric flows are observed. A good agreement is found between the numerical solution and analytical analysis. Originality/value-The present work is the first to consider thermosolutal convection with Soret effect in a square enclosure.

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Influence of the Soret effect on convection of binary fluids

Cited by 31 publications

References 32 publications

Non-equilibrium quench dynamics in quantum quasicrystals

Non-equilibrium quench dynamics in quantum quasicrystals

Asymptotic behaviour of a closed‐loop thermosyphon with linear friction and viscoelastic binary fluid

Numerical study of thermosolutal convection with Soret effect in a square cavity

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