Mathematical Model of the Flow of a Liquid Film of Variable Thickness on a Flat Surface in a Viscous Gas Flow
- Authors: Klyuev N.I.1, Polyakov K.A.1
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Affiliations:
- Samara State Technical University
- Issue: Vol 61, No 3 (2018)
- Pages: 412-419
- Section: Aero- and Gas-Dynamics of Flight Vehicles and Their Engines
- URL: https://journals.rcsi.science/1068-7998/article/view/230616
- DOI: https://doi.org/10.3103/S1068799818030145
- ID: 230616
Cite item
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.
Keywords
About the authors
N. I. Klyuev
Samara State Technical University
Email: polyakov.ka@samgtu.ru
Russian Federation, ul. Molodogvardeyskaya 244, Samara, 443100
K. A. Polyakov
Samara State Technical University
Author for correspondence.
Email: polyakov.ka@samgtu.ru
Russian Federation, ul. Molodogvardeyskaya 244, Samara, 443100