We consider the final step of a phase transition process in saturated solutions when particles coalescence (Ostwald ripening) and coagulation are possible to happen concurrently. A parametric solution to unsteady Smoluchowski integro-differential equation with constant coagulation kernel is found taking the diffusion mechanism of particles in the space of their volumes into account. The particle-size distribution is given by an exponentially decreasing bell-shaped function describing the experimental data at long times. The theory is extended to describe the cases of different coagulation mechanisms, hydrodynamic flows and external forces.
Original languageEnglish
Article number107879
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume131
DOIs
Publication statusPublished - 1 Apr 2024

    ASJC Scopus subject areas

  • Numerical Analysis
  • Applied Mathematics
  • Modelling and Simulation

    WoS ResearchAreas Categories

  • Mathematics, Applied
  • Mathematics, Interdisciplinary Applications
  • Mechanics
  • Physics, Fluids & Plasmas
  • Physics, Mathematical

ID: 52294058