Using of near-critical flows’ theory in practical calculations

• Autorzy: Riabenko O. , Chernyuk V. , Klyuha O. , Halych O. , Poplavskiy D.

Identyfikatory

DOI

10.7862/rb.2018.52

• Języki publikacji: EN

Abstrakty

EN

The paper considers the problem of practical using of theory about near-critical flows. It describes the types of immovable and movable near-critical flow phenomena and cases of these phenomena formation during different hydrotechnical constructions operating. The paper gives generalized differential equation of freesurface profile of wavelike near-critical flows. The solution of mentioned generalized differential equation is given as well. The solution of generalized differential equation takes into account possible deviating from hydrostatic pressure in initial cross-section of considered flows. If the specifity of near-critical flows, especially wavelike free-surface profile and deviation of pressure distribution in initial section of considered flows, will not be taken into account, it can put to difference between designed and real hydraulic regimens. This factor can bring to miscalculation during designing, building and exploitation of hydrotechnical constructers. All that shows the issue urgency of near-critical flows characteristics determination and modelling for practical calculations. The equations for determination main depths (maximum and second conjugated) are given. Besides, the paper gives existence conditions of different types of near-critical flows. An objective of this work is to present the comparison between theoretical and experimental data of free-surface profile of cnoidal waves. The comparison shows good convergence of results.

Słowa kluczowe

EN

near-critical flows; non-hydrostatic; differential equations; laboratory researches

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Czasopismo Inżynierii Lądowej, Środowiska i Architektury / Journal of Civil Engineering, Environment and Architecture
• Rocznik: 2018
• Tom: z. 65, nr 4
• Strony: 21--29
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Riabenko O.

• National University of Water and Environmental Engineering, Rivne, Ukraine

autor

Chernyuk V.

• Lviv Polytechnic National University, Lviv, Ukraine

autor

Klyuha O.

• National University of Water and Environmental Engineering, Rivne, Ukraine

autor

Halych O.

• National University of Water and Environmental Engineering, Rivne, Ukraine

autor

Poplavskiy D.

• National University of Water and Environmental Engineering, Rivne, Ukraine

Bibliografia

• [1] Riabenko O.A. (2003). Theoretical elements and methods of calculations of nearcritical fluid flows with a free surface. Thesis for academic degree of doctor of technical sciences: 05.23.16. Rivne. 393 ps. (in Ukrainian).
• [2] State building rulers V.2.4-1-99. (1999) Meliorative systems and structures. Derzhbud of Ukraine. Кyiv. 112 ps. (in Ukraine).
• [3] Tursunov A.A. (1969). Near-critical state of gravity water flows, Izvestiya VNIIG. Vol. 90. p. 201-224 (in Russian).
• [4] Riabenko O.A. (2011). Problems and paradoxes of near-critical fluid flow. Applied Fluid Mechanics, Vol. 13(85), №4. Kyiv. p. 37-51 (in Ukrainian).
• [5] Riabenko O.A., Halych O.O., Poplavskiy D.M. (2013) Using of differential equations to calculate the free-surface profile of undular jump. Georgian Technical University, Hydroengineering, Vol. 1-2(15-16). Tbilisi. p. 36-44 (in Russian).
• [6] Klyuha O.O. (2006). Flow hydraulics after single-span regulator sluice with pivot-leaf gates with accounting properties of near-critical flow. Synopsis of a thesis. Rivne, p. 19 (in Ukrainian).
• [7] Chernobyl O.Y. (2010). The improvement’s methods of hydraulic calculations and designs of double-span regulator sluice with accounting properties of near-critical flow. Synopsis of a thesis. Rivne, p. 20 (in Ukrainian).
• [8] Riabenko O.A., Cherniuk V., Klyuha O.A., Halych O.A., Poplavskiy D.M. Mathematical and hydraulic modeling. XV International Scientific Conference. Current issues of civil and environmental engineering and architecture. Book of abstracts. Rzeszόw - Lviv - Košice. Rzeszόw. Poland. 2015, p. 132-133.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).