Equations of Nonlinear Waves in Thin Film Flows with Mass Sources and Surface Activity at the Moving Boundary-Reference-Cited by-同舟云学术

Equations of Nonlinear Waves in Thin Film Flows with Mass Sources and Surface Activity at the Moving Boundary

Published:2020-07-14 Issue: Volume:15 Page:149-162
ISSN:1790-5087
Container-title:WSEAS TRANSACTIONS ON FLUID MECHANICS
language:en
Short-container-title:

Author:

Brener A.¹,Yegenova A.²,Botayeva S.¹

Affiliation:

1. Information Systems and Modeling Department, Auezov State University of South Kazakhstan, Shymkent, Kazakhstan

2. Akhmet Yassavi Kazakh-Turkish University, Turkestan, Kazakhstan

Abstract

The paper deals with the derivation of governing propagation equations of nonlinear waves in thin liquid films applying to two basic cases, namely for the perfect fluid flow with a weak mass source at the bottom and for the thin film of viscid liquid flow with a mass source and surface activity at the free moving boundary. The second case is considered on the example of a condensate film flow under the low heat transfer intensity. The conditions under which the model equation has the left-hand side of a type of the Korteweg-deVries equation with slowly evolved parameters, and perturbed right-hand side have been established for the both cases. The conditions under which the solitary wave solutions are possible have been defined too.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Physics and Astronomy

Reference42 articles.

1. Karpman V.I., Nonlinear Waves in Dispersive Media, Pergamon Press,Oxford, New York, Toronto, Sydney, 2011.

2. Newell A.C., Solitons in mathematics and physics, Soc. for Industrial and Applied Math. Univ. of Arizona, 1985.

3. Dodd R.K., Eilbeck J.C., Gibbon J.D., MorrisH.C., Solitons and Nonlinear Wave Equations,Academic Press, London, New York, Tokyo, 1984.

4. Brener A.M., Tashimov L., Wave Regimes of the Vapour Film Condensation Computational Modelling of Free and Moving Boundary Problems ( Southampton), 2001, pp 51-60.

5. Aktershev S.P., Alekseenko S.V., Nonlinear waves and heat transfer in a falling film of condensate, Phys. Fluids, Vol. 25, 2013, 083602.