Particle dispersion in homogeneous turbulence using the one-dimensional turbulence model

Abstract

Lagrangian particle dispersion is studied using the one-dimensional turbulence (ODT) model in homogeneous decaying turbulence configurations. The ODT model has been widely and successfully applied to a number of reacting and nonreacting flow configurations, but only limited application has been made to multiphase flows. Here, we present a version of the particle implementation and interaction with the stochastic and instantaneous ODT eddy events. The model is characterized by comparison to experimental data of particle dispersion for a range of intrinsic particle time scales and body forces. Particle dispersion, velocity, and integral time scale results are presented. The particle implementation introduces a single model parameter β p , and sensitivity to this parameter and behavior of the model are discussed. Good agreement is found with experimental data and the ODT model is able to capture the particle inertial and trajectory crossing effects. These results serve as a validation case of the multiphase implementations of ODT for extensions to other flow configurations.

Evaluation of stochastic particle dispersion modeling in turbulent round jets

“…The relative difference in the Stokes numbers for the two particle sizes are nearly the same for the three Reynolds numbers (as shown in Table 1), nevertheless, the difference between the dispersion of the two particle sizes decreases as Re increases. This is due to the increase in the magnitude of the Stokes numbers, which decreases the magnitude of the dispersion, as noted above, an effect previously documented with ODT particle modeling [34]. In the previous subsection, the power law scaling of the velocity with x/D was observed to approach similarity differently with increasing Reynolds numbers when comparing the measurements and the ODT predictions; the relative differences in dispersion observed here are consistent with those differences in the velocity evolution.…”

“…In the Type-C interaction, Figure 4: Type-I vs. Type-C particle-eddy interaction. Shadow boxes represent the eddy effect over the spatial domain [y 0 , y + L] and temporal period βpτe; single solid lines represent the particle trajectory; the dashed line represents the particle "interaction" trajectory due to the particle-velocity history in the Type-I interaction [34].…”

“…This decreases the particle residence time in the flow. The higher St at higher Re also contributes to the crossing-trajectory effect, which decreases dispersion, when particles exit an eddy prior to the eddy lifetime [34,38,32].…”

“…Punati [25], and Goshayeshi and Sutherland [10,9] studied coal combustion and particle laden jets using ODT (using a version of the Type-C model noted below). In our previous study, one version of the ODT multiphase interaction model using an instantaneous (referred to as Type-I) particle-eddy interaction (PEI) model was presented to investigate particle transport and crossing-trajectory effects in homogeneous turbulence [34]. Here, we extend this previous ODT study to shear flows and present two new PEI models to analyze the behavior of individual particles in jets at high Reynolds numbers (Re).…”

“…ODT has been applied to many different homogeneous and shear-dominating reacting [8,12,13,26,25,21] and nonreacting [16,18,2,34] flows including homogeneous turbulence, channel flow, jets, mixing layers, buoyant plumes, and wall fires.…”