This article is cited in 4 papers

MODELS IN PHYSICS AND TECHNOLOGY

Comparing of a quasi-steady and non-steady mathematical models of fluid flow in evaporating drop

K. S. Kolegov^ab, A. I. Lobanov<sup>cdbe

a</sup> Astrakhan Branch of the Volga State Academy of Water Transpo rt, 6/14 Nikolskaya street, Astrakhan, 414000, Russia
^b Astrakhan State University, 20a Tatisheva street, Astrakhan, 414056, Russia
^c Moscow State Academy of Water Transport, 2 Novodanilovskay a Naberezhnaya street, Moscow, 117105, Russia
^d Moscow Physics Technical Institute (State University), 9, Instituckii pereulok, Dolgoprudnii, Moscow State, 141700, Russia
^e Kabardino-Balkarian State University, 173, Chernishevskyi street, Kabardino-Balkarian republic, 360004,Russia

Abstract: The work aims to study the admissibility of the quasi-steady approach application in fluid flow modeling inside of evaporating drops placed on a solid horizontal substrate. Non-steady model has been developed to compare results with a quasi-steady model. For the first time one-dimensional motion equation of fluid in a drop is proposed from a momentum conservation law. We have shown that inward flow is possible on the edge of drop in one-dimensional models. It may be explained by existence of stagnation points.

Keywords: evaporating drop, one-dimensional motion equation, non-steady-state model.

UDC: 519.8

Received: 26.10.2012
Revised: 30.11.2012

DOI: 10.20537/2076-7633-2012-4-4-811-825