Variable energy flux in turbulence
arXiv:2011.07291 · doi:10.1088/1751-8121/ac354e
Abstract
In three-dimensional hydrodynamic turbulence forced at large length scales, a constant energy flux flows from large scales to intermediate scales, and then to small scales. It is well known that for multiscale energy injection and dissipation, the energy flux varies with scales. In this review we describe this principle and show how this general framework is useful for describing a variety of turbulent phenomena. Compared to Kolmogorov's spectrum, the energy spectrum steepens in turbulence involving quasi-static magnetofluid, Ekman friction, stable stratification, magnetohydrodynamics, and solution with dilute polymer. However, in turbulent thermal convection, in unstably stratified turbulence such as Rayleigh-Taylor turbulence, and in shear turbulence, the energy spectrum has an opposite behaviour due to an increase of energy flux with wavenumber. In addition, we briefly describe the role of variable energy flux in quantum turbulence, in binary-fluid turbulence including time-dependent Landau-Ginzburg and Cahn-Hillianrd equations, and in Euler turbulence.
69 pages
References in corpus (27)
- High Reynolds number Taylor-Couette turbulence
- Introduction to quantum turbulence
- Hyperviscosity, Galerkin truncation and bottlenecks in turbulence
- Shell Models of Magnetohydrodynamic Turbulence
- Energy Spectrum of Buoyancy-Driven Turbulence
- Heat transport in boiling turbulent Rayleigh-Bénard convection
- Anisotropy in Quasi-Static Magnetohydrodynamic Turbulence
- Evidence for Bolgiano-Obukhov scaling in rotating stratified turbulence using high-resolution direct numerical simulations
- Energy Spectra of Developed Turbulencein Helium Superfluids
- Convective turbulent viscosity acting on equilibrium tidal flows: new frequency scaling of the effective viscosity
- Anisotropic energy transfers in quasi-static magnetohydrodynamic turbulence
- Modeling quasi-static magnetohydrodynamic turbulence with variable energy flux
- Dynamic anisotropy in MHD turbulence induced by mean magnetic field
- Rotating Taylor-Green Flow
- Large-scale intermittency of liquid-metal channel flow in a magnetic field
- Experimental Study of the Bottleneck in Fully Developed Turbulence
- Self-organised criticality and 1/f noise in single-channel current of voltage-dependent anion channel
- From two-dimensional to three-dimensional turbulence through two-dimensional three-component flows
- On the thermal equilibrium state of large scale flows
- Inverse cascade of energy in helical turbulence
- How vortices and shocks provide for a flux loop in two-dimensional compressible turbulence
- Comparison of Theory and Direct Numerical Simulations of Drag Reduction by Rodlike Polymers in Turbulent Channel Flows
- Turbulent drag reduction in magnetohydrodynamic and quasi-static magnetohydrodynamic turbulence
- Enstrophy transfers in helical turbulence
- On uniqueness of transfer rates in magnetohydrodynamic turbulence
- Contrasting turbulence in stably stratified flows and thermal convection
- Euler Turbulence and thermodynamic equilibrium
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- Baroclinic interaction of forced shock waves with random thermal gradients
- Nonlinear mode coupling and energetics of driven magnetized shear-flow turbulence
- Taylor's Frozen-in Hypothesis for Magnetohydrodynamic turbulence and Solar Wind
- A revisit of generalized scaling of forced turbulence through flux analysis
- Magnetohydrodynamic Turbulence: Chandrasekhar's Contributions \& Beyond
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