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

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Abstract

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.

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Authors and Affiliations

  1. Samara State Technical University, ul. Molodogvardeyskaya 244, Samara, 443100, Russia

    N. I. Klyuev & K. A. Polyakov

Authors
  1. N. I. Klyuev
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  2. K. A. Polyakov
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Correspondence to K. A. Polyakov.

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Original Russian Text © N.I. Klyuev, K.A. Polyakov, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii, Aviatsionnaya Tekhnika, 2018, No. 3, pp. 88–94.

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Klyuev, N.I., Polyakov, K.A. Mathematical Model of the Flow of a Liquid Film of Variable Thickness on a Flat Surface in a Viscous Gas Flow. Russ. Aeronaut. 61, 412–419 (2018). https://doi.org/10.3103/S1068799818030145

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  • DOI: https://doi.org/10.3103/S1068799818030145

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