In homogeneous isotropic turbulence, the two-point velocity correlation function can be expressed (Pope 2000) in terms of the longitudinal (/) and transverse (g) auto-correlation functions [Pg.52]

Check for homogeneous isotropic turbulence in test experiments (influence of boundary layers, perturbations close to impellers). [Pg.151]

Hanratty. T.J. 1956. "Heat transfer through a homogeneous, isotropic turbulent field. AIChE Journal. 2, 359-362. [Pg.106]

If one considers the decay of homogeneous isotropic turbulence with zero strain for large turbulence Reynolds numbers, while modeling the dissipation by [Pg.238]

While the theoretical value (based on homogeneous, isotropic turbulence) of the Smagorinsky coefficient cs amounts to 0.165 (Mason and Callen, 1986), in many simulation studies lower values for cs proved to result in a better reproduction of experimental data. This may have to do with the abundant presence of shear flows in process equipment. Derksen (2003) reported that varying cs values in the range 0.08-0.14 does not have a large impact on the simulation results. A value of 0.12 is recommended. [Pg.162]

In the following we will consider some basic results of the statistics of such a homogeneous isotropic turbulent field. The consequences of homogeneity and isotropy for the correlation functions were worked out by von Karman and Howarth [179] and the full derivations are available in classical books like [66, 8, 112, 113]. [Pg.109]

In contrast, most models of turbulent flame speeds assume homogeneous isotropic turbulence with no mean flow or strain. This leads to substantial differences between model predictions and experimental observations [4]. [Pg.243]

According to this theory, the only parameter needed to describe the probability distribution of the relative velocity field K . in a homogeneous isotropic turbulent fluid is the average energy dissipation g i.e. [Pg.404]

Ernst M, Sommerfeld M (2012) On the volume fraction effects of inertial colliding particles in homogeneous isotropic turbulence. J Fluids Eng 134 031302 [Pg.72]

Derksen JJ (2012) Direct numerical simulations of aggregation of monosized spherical particles in homogeneous isotropic turbulence. AIChE J 58 2589-2600 [Pg.70]

Sommerfeld M (2001) Validation of a stochastic lagrangian modeUing approach for interparticle collisions in homogeneous isotropic turbulence. Int J Multiph Flow 27 1829-1858 Soo SL (1967) Fluid dynamics of multiphase systems. BlaisdeU Publishing Company, Waltham, Massachusetts [Pg.534]

Hughes, T. J. R., L. Mazzei, A. A. Oberai, and A. A. Wray (2001b). The multiscale formulation of large eddy simulation Decay of homogeneous isotropic turbulence. [Pg.415]

Zaichik, L. L, Simonin, O. Aupchenkov, V. M. 2003 Two statistical models for predicting collision rates of inertial particles in homogeneous isotropic turbulence. Physics of Fluids 15(10), 2995-3005. [Pg.486]

Figure 2-13 Spectrum of velocity [E(n)] and temperature or concentration [r(n)] fluctuation wavenumbers (m ) in the equilibrium range of homogeneous isotropic turbulence for the case of large Sc or Pr (modified from Batchelor, 1959). In the Batchelor scale, k is either the thermal diffusivity (k/pCp) or the molecular diffusivity (Dab)- |

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