Mathematical modeling of vaporization process for a polydisperse
ensemble of liquid drops
- Irina Alexandrova,
- Dmitri Alexandrov,
- Alexander Ivanov
Dmitri Alexandrov
Ural Federal University named after the first President of Russia B N Yeltsin
Author ProfileAlexander Ivanov
Ural Federal University named after the first President of Russia B N Yeltsin
Author ProfileAbstract
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.26 Jun 2020Submitted to Mathematical Methods in the Applied Sciences 04 Jul 2020Submission Checks Completed
04 Jul 2020Assigned to Editor
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