An exact analytical solution to unsteady population balance equation with particles coagulation

DOI10.1016/j.cnsns.2024.107879MaRDI QIDQ6203157

Dmitri V. Alexandrov, Eugenya V. Makoveeva

Publication date: 27 February 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

phase transitioncoagulationSmoluchowski equationOstwald ripeningmetastable liquidsaturated solutionparticle-volume distributionsupersaturation removal

Mathematics Subject Classification ID

Equilibrium statistical mechanics (82Bxx) Thermodynamics and heat transfer (80Axx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)

Cites Work

• Nucleation and particle growth with fluctuating rates at the intermediate stage of phase transitions in metastable systems
• Transient nucleation kinetics of crystal growth at the intermediate stage of bulk phase transitions
• The influence of Brownian coagulation on the particle-size distribution function in supercooled melts and supersaturated solutions
• Relaxation dynamics of the phase transformation process at its ripening stage
• On the theory of transient nucleation at the intermediate stage of phase transitions
• Desupersaturation dynamics in solutions with applications to bovine and porcine insulin crystallization
• Mathematical modeling of bulk and directional crystallization with the moving phase transition layer
• Approximate analytical solution of the integro‐differential model of bulk crystallization in a metastable liquid with mass supply (heat dissipation) and crystal withdrawal mechanism

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