Based on this turbulence theory, a few turbulence models have been developed over the last decades, which make either use of the so-called structure function or a power spectrum representation (cf. "Turbulence description" section).
Focused on liquid film-controlled processes in mechanically agitated aerated vessels, an attempt is made to develop scale-up correlations based on isotropic turbulence theory.
Spatial correlation at two points was well represented not by the exponential formula but by an alternative coherence function based on isotropic turbulence theory.
Three particle breakage kernels based on the Kolmogorov turbulence theory (Coulaloglou and Tavlarides), attrition theory (Ghadari and Zhang) and kinetic energy theory (Luo and Svendsen) are considered in this work respectively.
The particle fluctuating frequency, the dispersion coefficient, and the correlation dimension of pressure fluctuations have been correlated with the length and velocity scales of the microeddies in the bed based on the isotropic turbulence theory.
The axial dispersion coefficients in terms of the Peclet number in the bubble coalescing and disintegrating regimes in three phase fluidized beds have been correlated based on the isotropic turbulence theory.
It is concluded that in some chemical engineering operations the traditional approach to turbulence, based on the Kolmogorov theory, should be extended to include the influence of intermittency.
Intervention components were based on the Integrative Theory, Protection Motivation Theory, and Self-Determination Theory as previously described [ 24].
Among them, those based on the statistical theory of turbulence are of particular interest, in that they attempt to take into account the structure of the flow field responsible for breakage.
In theoretical plasma physics, research is conducted in the theory of plasma equilibrium and stability, active control of MHD instabilities, the kinetic theory of turbulence and transport, and the development of techniques based on the theory of general coordinates and dynamical systems.
