Limiting Wave Regimes during the Spatial and Time Development of Disturbances in Falling Liquid Films


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Abstract

The theoretical and experimental results are compared in the classical problem on regular two-dimensional waves in heavy viscous liquid films down a vertical plane. Some similarity transformations are used to perform a comparative analysis of numerical methods to study the nonlinear waves formed in a film during the spatial and time development of disturbances in the main steady flow.

About the authors

A. N. Beloglazkin

Moscow State University, Faculty of Mechanics and Mathematics

Author for correspondence.
Email: bel@mech.math.msu.su
Russian Federation, Leninskie Gory, Moscow, 119899

V. Ya. Shkadov

Moscow State University, Faculty of Mechanics and Mathematics

Author for correspondence.
Email: shkadov@mech.math.msu.su
Russian Federation, Leninskie Gory, Moscow, 119899

A. E. Kulago

Plekhanov Russian University of Economics, Faculty of Mathematical Economics, Statistics and Informatics

Author for correspondence.
Email: andrej-artem@mail.ru
Russian Federation, per. Stremyanny 36, Moscow, 117997

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