An aerodynamic model of the drop cluster

About the authors:

Anatoliy A. Kislitsin, Dr. Sci. (Phys.-Math.), Professor, Department of Applied and Technical Physics, University of Tyumen; a.a.kislicyn@utmn.ru; ORCID: 0000-0003-3863-0510

Aleksandr A. Fedorets, Dr. Sci. (Tech.), Head of the Laboratory of Micro-Hydrodynamic Technologies, University of Tyumen; fedorets_alex@mail.ru

Abstract:

The results of new theoretical and experimental investigations of the drop cluster are expounded. Due to these results we introduced important changes and specifications into the aerodynamic model of the drop cluster, which we had published earlier. It is experimentally determined, that the temperature difference between the bottom and the top of the droplet reached 4 K, and the Marangoni number is 360. It stands for the existence of intensive thermo capillary flow in the droplet. The approximated analytic solution for the vortex flow into the droplet, circular streamlines and velocity components were found. Typical velocity of flow into the droplet is approximately v ~ 0.1 m/sec. The estimation of rotational velocity of the droplet is approximately ω ~ 102 sec-1. The velocity of trace micro particles, moving on the liquid surface by nearly of droplet, confirmed this value. However, the rotation of the droplet does not explain the lifting force, because the rotational velocity is by two orders less, then it is necessary. It is shown that the cause of the lifting force is the steam-air flow. The performed theoretical estimations agree with the experimental data.

References:

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