Reynolds stress multiphase flows

According to the theory of linear stability analysis, infinitesimally small perturbations are superimposed on the variables in the steady state and their transient behavior is studied. At this stage the difference between turbulent fluctuations and perturbations may be noted. Turbulence is the characteristic feature of the multiphase flow under consideration the mean and fluctuating quantities were given by Eq. (2). The fluctuating components result in eddy diffusivity of momentum, mass, and Reynolds stresses. The turbulent fluctuations do not alter the mean value. In contrast, the perturbations are superimposed on steady-state average values and another steady... 

CFD approach. This model has too many unknown parameters when applied to multiphase flow. The kind of model used by Dudukovic group (72) computed the Reynolds stresses in agreement with measurements done in L.S. Fan s laboratory. In the Matonis et al (75) paper we show our capability to compute turbulence in a slurry bubble column in the chum-turbulent regime in agreement with our measurements. 

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