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Cascades and Spectra of a Turbulent Spinodal Decomposition in Two-dimensional Symmetric Binary Liquid Mixtures by Fan, Xiang ;Diamond, P. H. ;Chacón, L. ;Li, Hui is a Engineering article available to read on EtoBox.

What is Cascades and Spectra of a Turbulent Spinodal Decomposition in Two-dimensional Symmetric Binary Liquid Mixtures about?

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 d

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Author

Fan, Xiang ;Diamond, P. H. ;Chacón, L. ;Li, Hui

Publisher

American Physical Society (APS)

Published

2016

Language

EN

Field

Engineering (Physical Sciences)