Numerical simulation of droplet evaporation based on the smoothed particle hydrodynamics method

Abstract

Based on the smoothed particle hydrodynamics method, a numerical model of smoothed particle hydrodynamics in multi-phase flow evaporation accompanied with heat and mass transfer has been established, and phase transition of droplet evaporation is simulated. In this paper, an smoothed particle hydrodynamics mass transfer equation of gas phase in evaporation are proposed based on Fick?s law. In order to solve the problem of large mass difference of particles at the phase interface during evaporation, the particle splitting and merging techniques are introduced, and the tensile instability of particles during the splitting and merging is weakened by artificial stress. Besides, by adding the surface tension model, the mutual penetration of particles at the gas-liquid interface is effectively prevented. On this basis, the evaporation of single droplet and interacting droplets without gravity is simulated. The results show that the evaporation time of single droplet in this study conforms to D2 law and is within the theoretical range. There is a great influence between interacting droplets in the process of evaporation. Only when dimensionless number C (droplet spacing/droplet diameter) is larger than eight, the influence between droplets can be approximately ignored.