An overview of the statistical properties of two-dimensional turbulence in fluids with particles, conducting fluids, fluids with polymer additives, binary-fluid mixtures, and superfluids

2017/10/19 by Rahul Pandit, Debarghya Banerjee, Akshay Bhatnagar +9 · 1 citation
Engineering · Materials Science · #Fluid Dynamics and Turbulent Flows #Material Dynamics and Properties #Phase Equilibria and Thermodynamics

paper · doi:10.1063/1.4986802

openalex publication_date 2017/10/19 · crossref created 2017/10/19 · crossref issued 2017/11/01 · crossref published 2017/11/01 · crossref published-print 2017/11/01 · crossref deposited 2023/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22 · crossref indexed 2026/07/31

Abstract

We present an overview of the statistical properties of turbulence in two-dimensional (2D) fluids. After a brief recapitulation of well-known results for statistically homogeneous and isotropic 2D fluid turbulence, we give an overview of recent progress in this field for such 2D turbulence in conducting fluids, fluids with polymer additives, binary-fluid mixtures, and superfluids; we also discuss the statistical properties of particles advected by 2D turbulent fluids.

Citations

• The Observed Properties of Liquid Helium at the Saturated Vapor Pressure
• Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence
• Equation of motion for a small rigid sphere in a nonuniform flow
• Exponential Time Differencing for Stiff Systems
• Inertial Ranges in Two-Dimensional Turbulence
• Persistence and first-passage properties in nonequilibrium systems
• Theoretical Interpretation of Atmospheric Wavenumber Spectra of Wind and Temperature Observed by Commercial Aircraft During GASP
• Drag reduction fundamentals

Cited by

• Vortex triplets, symmetry breaking, and emergent nonequilibrium plastic crystals in an active-spinner fluid

Related

• Introduction to Statstical Theory of Fluid Turbulence
• Turbulence for (and by) amateurs
• Field Theory and the Phenomenon of Turbulence
• Statistical Estimates for 2D stochastic Navier-Stokes Equations
• The dynamics of discrete particles in turbulent flows: open issues and current challenges in statistical modeling