Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/112158
Title: Mathematical Modeling of Vaporization Process for a Polydisperse Ensemble of Liquid Drops
Authors: Alexandrov, D. V.
Alexandrova, I. V.
Ivanov, A. A.
Issue Date: 2021
Publisher: John Wiley and Sons Ltd
Wiley
Citation: Alexandrov D. V. Mathematical Modeling of Vaporization Process for a Polydisperse Ensemble of Liquid Drops / D. V. Alexandrov, I. V. Alexandrova, A. A. Ivanov // Mathematical Methods in the Applied Sciences. — 2021. — Vol. 44. — Iss. 16. — P. 12101-12107.
Abstract: In this paper, we study the vaporization process of a polydisperse ensemble of liquid drops on the basis of a nonlinear set of balance and kinetics equations for the particle-radius distribution function and temperature in the gaseous phase. We found an exact parametric solution to this problem using a modified time variable and the Laplace integral transform method. The distribution function of vaporizing drops as well as its moments, the temperature dynamics in gas, and the unvaporized mass of drops are found. The initial particle-radius distribution shifts to smaller particle radii with increasing the vaporization time. As this takes place, the temperature difference between the drops and gas decreases with time. It is shown that the heat of vaporization and initial total number of particles in the system substantially influence the dynamics of a polydisperse ensemble of liquid drops. © 2020 John Wiley & Sons, Ltd.
Keywords: APPLIED MATHEMATICAL MODELING
INTEGRAL EQUATIONS
PHASE TRANSITIONS
VAPORIZATION
DISTRIBUTION FUNCTIONS
INTEGRAL EQUATIONS
LIQUIDS
NONLINEAR EQUATIONS
POLYDISPERSITY
VAPORIZATION
HEAT OF VAPORIZATION
KINETICS EQUATION
LAPLACE INTEGRAL TRANSFORM
PARAMETRIC SOLUTIONS
PARTICLE RADII
TEMPERATURE DIFFERENCES
TEMPERATURE DYNAMICS
VAPORIZATION PROCESS
DROPS
URI: http://hdl.handle.net/10995/112158
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85088130797
PURE ID: 23817875
ISSN: 0170-4214
metadata.dc.description.sponsorship: This work was supported by the Russian Foundation for Basic Research (project no. 20‐08‐00199).
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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