Russian Aeronautics

, Volume 61, Issue 3, pp 412–419 | Cite as

Mathematical Model of the Flow of a Liquid Film of Variable Thickness on a Flat Surface in a Viscous Gas Flow

  • N. I. Klyuev
  • K. A. PolyakovEmail author
Aero- and Gas-Dynamics of Flight Vehicles and Their Engines


The paper presents a mathematical model of the film flow over a half-plane directed at an angle to the horizon. In the cross section of the film, a quadratic law for the longitudinal velocity distribution is adopted, taking into account friction on the film surface. An approximate solution of the problem is obtained in the form of a series in powers of the small parameter. The solution is presented in the form of graphs of the film thickness and the average longitudinal velocity along the length of the plate.


film liquid boundary layer flow friction small parameter 


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© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Samara State Technical UniversitySamaraRussia

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