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Mathematical modeling of vaporization process for a polydisperse ensemble of liquid drops
  • Irina Alexandrova,
  • Dmitri Alexandrov,
  • Alexander Ivanov
Irina Alexandrova
Ural Federal University named after the first President of Russia B N Yeltsin
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Dmitri Alexandrov
Ural Federal University named after the first President of Russia B N Yeltsin
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Alexander Ivanov
Ural Federal University named after the first President of Russia B N Yeltsin
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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.

Peer review status:Published

26 Jun 2020Submitted to Mathematical Methods in the Applied Sciences
04 Jul 2020Assigned to Editor
04 Jul 2020Submission Checks Completed
07 Jul 2020Reviewer(s) Assigned
11 Jul 2020Review(s) Completed, Editorial Evaluation Pending
11 Jul 2020Editorial Decision: Accept
19 Jul 2020Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.6749