Mathematical model of a spatially variable unstable flow motion at the breakthrough of hydrotechnical structures under the conditions of highland

Authors

DOI:

https://doi.org/10.33408/2519-237X.2020.4-1.48

Keywords:

spatial change, unsteady motion, displacement waves, pressure hydraulic structure

Abstract

Purpose. Modeling of spatially changing unsteady flow motion resulting from hydrodynamic accidents in mountainous areas.

Methods. Mathematical modeling of unsteady fluid flow.

Findings. When an unsteady stream expands along the slope of the terrain, the wave decays into a refracted wave, whose motion can be described by the equation of energy balance with the inertial component; and the reflected one, which is converted into spatial hopping conjugation, which is described by energy balance.

Application field of research. The proposed equations can be used as a mathematical model of unsteady smoothly changing water movement in case of destruction or breakthrough of a pressure hydraulic structure under the conditions of highland.

Author Biographies

Marina Yu. Striganova, State Educational Establishment «University of Сivil Protection of the Ministry for Emergency Situations of the Republic of Belarus»; 220118, Belarus, Minsk, ul. Mashinostroiteley, 25

Chair of Automatic System Security, Associate Professor; PhD in Technical Sciences, Associate Professor

Igor' M. Shatalov, Belarusian National Technical University; 220013, Belarus, Minsk, pr-t Nezavisimosti, 65

Chair of Hydrotechnical and Power Engineering, Senior Lecturer

Samedaga A. Samedov, Ministry for Emergency Situations of the Republic of Azerbaijan; AZ1073, Azerbaijan, Baku, ul. M. Mushviga, 501

Main Operational Department, Deputy Head

Irina V. Nedashkovskaya, Belarusian National Technical University; 220013, Belarus, Minsk, pr-t Nezavisimosti, 65

Department for the Training of Scientific Personnel of Higher Qualification, Methodist

Viktoriya S. Rabchenya, Belarusian National Technical University; 220013, Belarus, Minsk, pr-t Nezavisimosti, 65

Department of Energy Construction, Student

References

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Girgidov A.D. Mekhanika zhidkosti i gaza (gidravlika) [Mechanics of fluid and gas (hydraulics)]: textbook for universities. The third ed. Saint Petersburg: izdatel'stvo Politekhnicheskogo universiteta, 2007. 545 p. (rus)

Spravochnik po gidravlike [Handbook of hydraulics]. Ed. by V.A. Bol'shakov. The second ed. Kiev: Vyshcha shkola, 1984. 343 p. (rus)

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Karpenchuk I.V., Striganova M.Yu. Matematicheskaya model' neustanovivshegosya dvizheniya volny proryva gidrotekhnicheskikh sooruzheniy napornogo fronta [A mathematical model of unsteady motion of a wave of breakthrough of hydraulic structures of a pressure head]. Proc. IV Intern. scientific-practical conf. «Prirodnichi nauki ta ikh zastosuvannya v diyal'nosti sluzhby tsivil'nogo zakhistu». Cherkasy Institute of Fire Safety named after Chornobyl Heroes of National University of Civil Defense of Ukraine. Cherkasy, 2010. Pp. 57–60. (rus)

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Published

2020-02-20

How to Cite

Striganova М., Shatalov И., Samedov С., Nedashkovskaya И. and Rabchenya В. (2020) “Mathematical model of a spatially variable unstable flow motion at the breakthrough of hydrotechnical structures under the conditions of highland”, Journal of Civil Protection, 4(1), pp. 48–58. doi: 10.33408/2519-237X.2020.4-1.48.

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