https://doi.org/10.1140/epjst/e2019-800112-x
Regular Article
Unsteady-state particle-size distributions at the coagulation stage of phase transformations
Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University,
Lenin Ave., 51,
Ekaterinburg
620000, Russia
a e-mail: dmitri.alexandrov@urfu.ru
Received:
20
July
2018
Received in final form:
28
September
2018
Published online: 30 May 2019
In this paper, a new analytical solution of nonstationary integro-differential coagulation equation, which describes the concluding stage of a phase transformation process in metastable liquids, is deduced. This solution takes into account the initial distribution function, which is found on the basis of previously developed theory for the intermediate stage. It is demonstrated that the derived particle-size distribution function representing a bell-shaped curve decreases with time and describes the long-term experimental data. The developed theoretical approach describes the transition of a phase transformation process from its intermediate stage to the stage of particle coagulation.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2019
