Discussion on second-order dispersed phase Eulerian equations applied to turbulent particle-laden jet flows

in this work a Reynolds stress two-phase flow model is presented. Equations for the second-order statistical moments are considered for both phases, continuous and dispersed, in the limit of high-inertia non-collidmg particles. A simplified version of this model is used for studying axisymmetric particle-laden gas jets. Emphasis is made in the analysis of the dispersed phase equations only. The equations for radial and axial momentum and normal Reynolds stresses for the particulate phase are divided into their basic terms and analysed separately. The modelling of the corresponding shear stresses relies on a Boussinesq closure, consistent with the theoretical work of Reeks (Phys. Fluids A 5(3) (1993) 750) and Zaichik (J. Appl. Math. Mech. 61 (1997) 127) in the limit of high-inertia particles. By this procedure a global picture of the momentum and fluctuating energy transfer in the flow is attained. Moreover, the dispersed phase and fluid-particle velocity correlation, that enter the interaction terms describing the exchange of fluctuating energy between the phases, are compared with the result of Reeks' and Zaichik's theoretical expressions in the case of simple shear flow. (C) 2003 Elsevier Ltd. All rights reserved.