On the integration of differential equations of unsteady gradually changing flow in an open channel in highland conditions when a dam breaks

Authors

DOI:

https://doi.org/10.33408/2519-237X.2020.4-3.328

Keywords:

dam, highland, unsteady movement, displacement wave, wave parameters, flow velocity (waves), flow depth (waves), displacement time, propagation length

Abstract

Purpose. The choice of a scientifically and technically substantiated method for integrating the equations of unsteady gradually changing flow movement in an open channel in highland conditions when a dam breaks.

Methods. Approximate integration methods for differential equations.

Findings. The use of the finite-difference method for integrating differential equations (method of characteristic equations of S.A. Khristianovich) is proposed for unsteady gradually changing flow in highland conditions when a dam breaks.

Application field of research. The proposed solution of the equations of unsteady gradually changing movement in highland conditions when breaking dams can be used to solve practical problems in determining the main parameters of the displacement wave and the zones of harmful effects on the territory adjacent to the high mountains.

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 of Department

Mariya K. Shcherbakova, Belarusian National Technical University; 220013, Belarus, Minsk, pr-t Nezavisimosti, 65

Chair of Hydrotechnical and Power Engineering, Water Transport and Hydraulics, Senior Lecturer

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

Striganova M.Yu., Shatalov I.M., Samedov S.A., Nedashkovskaya I.V., Rabchenya V.S. Matematicheskaya model' prostranstvenno izmenyayushchegosya neustanovivshegosya dvizheniya potoka pri proryve napornykh i gidrotekhnicheskikh sooruzheniy v usloviyakh vysokogor'ya [Mathematical model of a spatially variable unstable flow motion at the breakthrough of hydrotechnical structures under the conditions of highland]. Journal of Civil Protection, 2020. Vol. 4. No. 1. Pp. 48–58. (rus). DOI: 10.33408/2519-237X.2020.4-1.48.

Bogomolov A.I., Mikhaylov K.A. Gidravlika [Hydraulics]. Moscow: Stroyizdat, 1972. 648 p. (rus)

Bogomolov S.V., Zakharov E.V., Zerkal' S.V. Modelirovanie voln na melkoy vode metodom chastits [The shallow water wave simulating by particle method]. Matematicheskoe modelirovanie, 2002. Vol. 14. No. 3. Pp. 103–116. (rus)

Downloads


Abstract views: 68
PDF Downloads: 67

Published

2020-07-20

How to Cite

Striganova М. Ю., Shatalov И. М., Samedov С. А., Shcherbakova М. К., Nedashkovskaya И. В. and Rabchenya В. С. (2020) “On the integration of differential equations of unsteady gradually changing flow in an open channel in highland conditions when a dam breaks”, Journal of Civil Protection, 4(3), pp. 328–337. doi: 10.33408/2519-237X.2020.4-3.328.