The Particle-Source-In Cell (PSI-CELL) Model for Gas-Droplet Flows

Abstract

The analysis of gas-droplet flows is complicated by the need to account for the mass, momentum, and energy coupling between phases. The concept of regarding the droplet phase as a source of mass, momentum, and energy to the gaseous phase is described and incorporated into a computational model. A steady two-dimensional spray-cooling problem is analyzed to illustrate the applicability of the model. The predicted temperature and velocity flow field for the gas and droplet phase aptly illustrate the capability of the model to treat the complex phenomena associated with multiphase flows.

Numerical model for the prediction of dilute, three‐dimensional, turbulent fluid–particle flows, using a Lagrangian approach for particle tracking and a CVFEM for the carrier phase

“…Two-way coupling effects are included in this model through the particle-source-in cell strategy of Crowe et al [28]. The global calculation procedure may be described as follows: first, the fluid flow is predicted ignoring the presence of particles; these fluid flow results are then frozen and all particle trajectories calculated, thus leading to the determination of momentum and turbulent energy source (or sink) contributions for each control volume that has been visited by all particles along their paths; with these new source terms, the CVFEM calculations are redone for the fluid flow; then the former particle trajectories are corrected; and the whole procedure is repeated until convergence is achieved.…”

“…Each trajectory j is associated with a particle mass flow rateṁ p j =Ṅ j m p . As it crosses an Eulerian cell of volume v, a momentum source contribution is generated for the continuous phase [28,29]:…”

Large Eddy Simulation for Dispersed Bubbly Flows: A Review

“…Crowe et al [14] PSI cell/ball approximation (5) Sommerfeld [40] Stochastic interparticle collision model (6) Sommerfeld et al [41] Langevin equation model of SGS turbulent kinetic energy, a datum which may prove useful in modelling some aspects of dispersed flows (e.g., SGS bubble-induced turbulence).…”

“…The two-way interaction (forward and backward) is accomplished with a mapping method, for example, PSI-cell method [14], modified PSI-wall-method [15], or mapping functions discussed by Deen et al [16].…”

Mathematical Modelling of the Motion of Dust-Laden Gases in the Freeboard of CFB Using the Two-Fluid Approach

“…The Lagrangian method deals usually with huge numbers of tracking particles (up to several millions of tracking particles depending on the mass flow loading) to obtain a converged solution and also to take into account the particles feedback in the primary fluid (gas-phase). One mathematical technique that can be used for the calculation of flow parameters, including the coupling effect, is given by the particle-cell source method (Crowe et al, 1977). Helland et al, (2000) using the Lagrangian ParticleTracking approach to calculate the two-dimensional gas-solid particles flow in a CFB riser with the 3% total volume concentration of solids.…”