A droplet collision model based on the concept of particle cloud

作者：Xu Bao Peng^*; Wen Jennifer

来源：Transactions of CSICE, 2014, 32(3): 216-222.

• Collision model
• Collision number
• Collision problem
• Droplet collision
• Droplet collision models
• Grid-dependent
• Lagrangian frames
• Particle position

It is well-known that the widely used O'Rourke's (O'Rourke and Bracco, 1980) collision model to calculate droplet collisions in Lagrangian frame is grid-dependant in Cartesian mesh because of the assumption that droplets in a particle distribute uniformly in the cell, and only two particles sharing the same cells have a chance to collide. A new collision model based on "particle cloud" concept was proposed to reduce the grid-dependency of the O'Rourke's model. The new model abolishes the above assumption by assuming that droplets uniformly occupy a fictitious spherical cloud centered on its particle position. The accuracy of the new model was tested against the analytical solutions of simplified realistic collision problems in a box volume. The grid-dependency of the model was also tested against some spray data. It was found that the new model gives sufficient accuracy for the calculation of collision numbers in hypothetical cases with uniformly distributed droplets although the O'Rourke's model. For the prediction of a realistic spray in Cartesian gird, the new model gave the improved results. The new model can accurately predict the spray pattern with reduced the influence of grid on calculation.

• 出版日期2014