INVESTIGATION OF THE STABILITY FOR ESTABLISHED FLOWS IN OPEN PSEUDOPRISMATIC CHANNELS

  • Petro Venherskyi Franko National University of Lviv, Ukraine
  • Yaryna Kokovska Franko National University of Lviv, Ukraine
Keywords: stability, S-stability, L-stability, channel flow, incompressible fluid, pseudoprismatic channels, perturbations

Abstract

In this article the equations of channel flow of fluid are considered. They are described by the continuity equation and the momentum equation depending on the rate of flow and cross-sectional area of flow.

It is shown that natural phenomena significantly affect the flow stability and received a condition that ensures the stability of unstated flow at perturbation in initial and boundary conditions. Conditions of stability are checked on test examples, which depend on the following parameters: established movement parameters and middle and bottom slope angles.

It is shown that in such assumptions the system of equations of channel flow of fluid is stable, if received conditions is executed.

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Author Biographies

Petro Venherskyi, Franko National University of Lviv

Department of Applied Mathematics and Informatics

Yaryna Kokovska, Franko National University of Lviv

Department of Applied Mathematics and Informatics

References

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Published
2016-09-30
How to Cite
Venherskyi, P., & Kokovska, Y. (2016). INVESTIGATION OF THE STABILITY FOR ESTABLISHED FLOWS IN OPEN PSEUDOPRISMATIC CHANNELS. EUREKA: Physics and Engineering, (5), 9-15. https://doi.org/10.21303/2461-4262.2016.00151
Section
Computer Sciences and Mathematics