Within the field of fluid dynamics, Homogeneous isotropic turbulence is an idealized version of the realistic turbulence, but amenable to analytical studies. The concept of isotropic turbulence was first introduced by G.I. Taylor in 1935.[1] The meaning of the turbulence is given below,[2][3][4]
homogeneous, the statistical properties are invariant under arbitrary translations of the coordinate axes
isotropic, the statistical properties are invariant over a full rotation group, which includes rotations and reflections of the coordinate axes.
G.I. Taylor also suggested a way of obtaining almost homogeneous isotropic turbulence by passing fluid over a uniform grid. The theory was further developed by Theodore von Kármán and Leslie Howarth (Kármán–Howarth equation) under dynamical considerations. Kolmogorov's theory of 1941 was developed using Taylor's idea as a platform.
^Taylor, G. I. (1935). Statistical theory of turbulence. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 151(873), 421-444.
^Monin, A. S., & Yaglom, A. M. (2013). Statistical fluid mechanics, volume II: Mechanics of turbulence (Vol. 2). Courier Corporation.
^Panchev, S. (2016). Random Functions and Turbulence: International Series of Monographs in Natural Philosophy (Vol. 32). Elsevier.
^Hinze, J. (1938). 0. 1975 Turbulence.
and 23 Related for: Homogeneous isotropic turbulence information
Homogeneousisotropicturbulence is an idealized version of the realistic turbulence, but amenable to analytical studies. The concept of isotropic turbulence...
decaying, homogeneous, isotropicturbulence. Physical review letters. 2006. [1] Jin S 2007 Numerical simulations of a dilute polymer solution in isotropic turbulence...
balance. The small scales have high frequency, causing turbulence to be locally isotropic and homogeneous. Taylor microscales The intermediate scales between...
case of classical turbulence is that of homogeneousisotropicturbulence (HIT) held in a statistical steady state. Such turbulence can be created inside...
isotropy. Fluid dynamics Fluid flow is isotropic if there is no directional preference (e.g. in fully developed 3D turbulence). An example of anisotropy is in...
pollen grain dispersal in still air and stationary, near homogeneous, isotropicturbulence". Journal of Aerosol Science. 42 (12): 867–882. doi:10.1016/j...
autocorrelation with respect to time and space respectively. In isotropichomogeneousturbulence, the integral length scale ℓ {\displaystyle \ell } is defined...
which uses an isotropic eddy viscosity, RSM solves all components of the turbulent transport. 2) It is the most general of all turbulence models and works...
spots in isotropicturbulence (1951) The passage of turbulence through wire gauzes (1951) Similarity and self-preservation in isotropicturbulence (1951...
and decaying isotropicturbulence, channel flows and a variety of other more complex geometries. If a flow happens to have homogeneous directions (let...
the statistics are constant in time Homogeneous, so the statistics do not depend on the vehicle path Ergodic Isotropic at high altitude, so the statistics...
{\displaystyle \epsilon } is the kinetic energy dissipation rate of the turbulence. Maximum preferential concentration occurs at S t k ∼ 1 {\displaystyle...
{\displaystyle u'_{i}} denotes the fluctuating (turbulence) part of the velocity. We consider a homogeneous fluid, whose density ρ is taken to be a constant...
Thormann, A.; Meneveau, C. (February 2014). "Decay of homogeneous, nearly isotropicturbulence behind active fractal grids". Physics of Fluids. 26 (2):...
input flux. In: FEBS Lett. 172 (1984), pp. 235–238. M Markus, B Hess: Isotropic cellular automaton for modeling excitable media. In: Nature. 347 (1990)...
1922–1924. The Universe is assumed homogeneous (space has the same metric properties (measures) in all points) and isotropic (space has the same measures in...
a model of homogeneous, isotropic advection of a passive scalar by a random vector field." (Kolmogorov's theory of homogeneousturbulence breaks down...
classic solution of the Einstein field equations that describes a homogeneous and isotropic universe was called the Friedmann–Lemaître–Robertson–Walker metric...
Y_{0}=0} ), in statistically stationary isotropicturbulence. In particular, consider an experiment where the isotropic turbulent velocity field has zero mean...
Rogallo, Robert S. (1993). "The structure of intense vorticity in isotropicturbulence". Journal of Fluid Mechanics. 255: 65. Bibcode:1993JFM...255...65J...