Spinodal Decomposition in Homogeneous and Isotropic Turbulence

Perlekar, Prasad; Benzi, Roberto; Clercx, Hjh Herman; Nelson, David R.; Toschi, Federico

doi:10.1103/physrevlett.112.014502

Cited by 54 publications

(84 citation statements)

References 29 publications

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“…Under uniform shear flow, a highly anisotropic layered phase ordering appears in the mixture [7][8][9]. Under turbulent flow, experiments [10,11] and numerical simulations [12,13] have shown that coarsening is suppressed due to vigorous stirring, a result that is also observed when a chaotic flow is imposed [14].…”

Section: Introductionmentioning

confidence: 63%

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Thermodynamic coarsening arrested by viscous fingering in partially miscible binary mixtures

Cueto‐Felgueroso

Juanes

2016

Phys. Rev. E

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We study the evolution of binary mixtures far from equilibrium, and show that the interplay between phase separation and hydrodynamic instability can arrest the Ostwald ripening process characteristic of nonflowing mixtures. We describe a model binary system in a Hele-Shaw cell using a phase-field approach with explicit dependence of both phase fraction and mass concentration. When the viscosity contrast between phases is large (as is the case for gas and liquid phases), an imposed background flow leads to viscous fingering, phase branching, and pinch off. This dynamic flow disorder limits phase growth and arrests thermodynamic coarsening. As a result, the system reaches a regime of statistical steady state in which the binary mixture is permanently driven away from equilibrium.

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Section: Introductionmentioning

confidence: 63%

“…The paradigmatic model used to investigate this process is the advective Cahn-Hilliard equation coupled to the incompressible Navier-Stokes equations [12][13][14][15]. In this case, the Navier-Stokes equations contain a capillary term that embodies gradients in chemical potential, and thereby a feedback from the phase-evolution equation.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic coarsening arrested by viscous fingering in partially miscible binary mixtures

Cueto‐Felgueroso

Juanes

2016

Phys. Rev. E

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“…external forcing is applied, and the emergent characteristic length scale of blob size is consistent with the Hinze scale: L H ∼ ( ρ σ ) −3/5 ϵ −2/5 where ρ is density, σ is surface tension, and ϵ is the energy dissipation rate per unit mass [23,24]. In the inverse energy cascade regime of the 2D CHNS system, the characteristic length scale is also consistent with the Hinze scale [25].…”

Section: -2mentioning

confidence: 67%

“…The length scale growth, the arrest of the length scale growth, the emergence of the Hinze scale, and the inverse cascade of H ψ appear in both 3D and 2D simulations [23]. It is well known that 2D and 3D Navier-Stokes turbulence have totally different cascades and spectra, but 2D and 3D MHD turbulence are rather more similar.…”

Section: A Basic Setupmentioning

confidence: 99%

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Cascades and spectra of a turbulent spinodal decomposition in two-dimensional symmetric binary liquid mixtures

et al. 2016

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We study the fundamental physics of cascades and spectra in two-dimensional (2D) Cahn-Hilliard-Navier-Stokes (CHNS) turbulence, and compare and contrast this system with 2D magnetohydrodynamic (MHD) turbulence. The important similarities include basic equations, ideal quadratic invariants, cascades, and the role of linear elastic waves. Surface tension induces elasticity, and the balance between surface tension energy and turbulent kinetic energy determines a length scale (Hinze scale) of the system. The Hinze scale may be thought of as the scale of emergent critical balance between fluid straining and elastic restoring forces. The scales between the Hinze scale and dissipation scale constitute the elastic range of the 2D CHNS system. By direct numerical simulation, we find that in the elastic range, the mean square concentration spectrum H ψ k of the 2D CHNS system exhibits the same power law (−7/3) as the mean square magnetic potential spectrum H A k in the inverse cascade regime of 2D MHD. This power law is consistent with an inverse cascade of H ψ , which is observed. The kinetic energy spectrum of the 2D CHNS system is E K k ∼ k −3 if forced at large scale, suggestive of the direct enstrophy cascade power law of 2D Navier-Stokes turbulence. The difference from the energy spectra of 2D MHD turbulence implies that the back reaction of the concentration field to fluid motion is limited. We suggest this is because the surface tension back reaction is significant only in the interfacial regions. The interfacial regions fill only a small portion of the 2D CHNS system, and their interface packing fraction is much smaller than that for 2D MHD.

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