Recording of the Cavitation Phenomena when Modeling Flows in the Trunk Pipelines


In the article, it is proposed to use a numerical method based on the approach of S.K. Godunov to simulate boiling in a pipeline. The paper presents a statement of the real problem of modeling a water hammer, considering possible boiling of the transported liquid on a real object — an oil pipeline. When solving the problem, two variants of flow modeling when closing the valve installed at the end of the pipeline were carried out. In the first case, the possibility of liquid boiling was not considered. In the second case, this opportunity was considered.
The performed numerical simulation showed that in the pipeline in emergency situations, liquid columns can be formed, separated by the cavitation zones and oscillating in different phases, respectively, at the collapse of the cavitation zones, which serve as a kind of pressure dampers, the collisions of liquid columns occur, which can lead, depending on the ratio of velocities, to hydraulic shocks that occur not on the valves, but on the linear part of the pipeline (local hydraulic shocks). The waves from these collapses, interacting with each other, create the new pressure peaks that do not coincide with the pattern of simple wave circulation, which are predicted in the simulations that do not consider possible liquid boiling.
As a result, the pressures reached in the pipeline during fluid hammer is significantly different from what it would be in the absence of boiling. When boiling is considered, the maximum reached pressures are 40 % higher. Moreover, this excess is repeated. The detailed analysis of the pressure profile in the pipeline is given in the article. Based on the results of solving this problem, it is concluded that when modeling pre–emergency and emergency situations in the pipeline, it is necessary to consider the process of possible liquid boiling, since sometimes, as in the presented case, the values of the pressure surges can be higher than the values of the pressure surges in the liquid without considering boiling, which increases the likelihood of emergency depressurization.

1. Lure M.V. Theoretical foundations of the pipeline transport of oil, oil products and gas: textbook. Moscow: Nedra, 2017. 477 p. (In Russ.).
2. Lure M.V., Polyanskaya L.V. On hazardous source of the fluid hammer waves in the relief oil and oil product pipelines. Neftyanoe khozyaystvo = Oil Industry. 2000. № 8. pp. 66–68. (In Russ.).
3. Sumskoi S.I., Sverchkov A.M. Modeling of Non-equilibrium Processes in Oil Trunk Pipeline Using Godunov Type Method. Physics Procedia. 2015. Vol. 72. pp. 347–350. DOI: 10.1016/j.phpro.2015.09.108
4. Sumskoy S.I., Agapov A.A., Sofin A.S., Sverchkov A.M., Egorov A.F. Simulation of Abnormal Leakages on Trunk Pipelines. Bezopasnost truda v promyshlennosti = Occupational Safety in Industry. 2014. № 9. pp. 50–53. (In Russ.).
5. Godunov S.K. A Finite Difference Method for the Computation of Discontinuous Solutions of the Equations of Fluid Dynamics. Matematicheskiy sbornik = Sbornik: Mathematics. 1959. Vol. 47. № 3. pp. 271–306. (In Russ.).
6. Sumskoi S.I., Sverchkov A.M., Lisanov M.V., Egorov A.F. Modelling of non-equilibrium flow in the branched pipeline systems. Journal of Physics: Conference Series. 2016. Vol. 751. № 1. pp. 12–22.
7. Bergant A., Simpson A.R. Pipeline column separation flow regimes. Journal of Hydraulic Engineering. 1999. Vol. 125. pp. 835–848.
8. Jinping L.I., Peng W.U., Jiandong Y.A.N.G. CFD Numerical simulation of water hammer in pipeline based on the Navier-Stokes equation. Available at: (accessed: August 12, 2020).
9. Choon T.W., Aik L.K., Aik L.E., Hin T.T. Investigation of Water Hammer Effect Through Pipeline System. Intrernational Journal on Advanced Science Engineering Information Technology. 2012. Vol. 2. № 3. pp. 48–53.
10. Maryono A., Suhanan, Kurniawan A., Alatas M., Akhita A.M.R., Wicaksono A.B. Experimental Study of Water Hammer Phenomena in Drinking Water Pipeline Distribution Using Video Camera Method. International Journal of Scientific & Engineering Research. 2013. Vol. 4. Iss. 2. pp. 1–8.
11. Arbuzov N.S. Ensuring technological safety of the hydraulic system of offshore oil terminals in the process of loading ships at the mooring structures: thesis... Doctor of Technical Sciences. Moscow: OOO «IMS Indastriz», 2014. 310 p. (In Russ.).
12. TOXI+Fluid hammer software. Software on industrial safety TOXI+. Available at: (accessed: August 12, 2020). (In Russ.).
13. Khamidullina E.A., Drozdova T.I., Davydkina O.A., Agapov A.A. Modeling of Emergency Processes with Release of Hazardous Substance Using Software Complex TOXI+Risk. Bezopasnost truda v promyshlennosti = Occupational Safety in Industry. 2015. № 7. pp. 75–79. (In Russ.).
14. Agapov A.A., Sofin A.S., Zaynetdinov S.Kh., Bannikov V.V. Verification of TOXI + Risk 5 Software Package with Regard to Modeling of the Pool Fire Combustible Liquids and the «Fire ball». Bezopasnost truda v promyshlennosti = Occupational Safety in Industry. 2018. № 8. pp. 7–14. (In Russ.). DOI: 10.24000/0409-2961-2018-8-7-14
15. Savitskaya T.V., Egorov A.F., Zapasnaya L.A., Dementienko A.V., Karibova Yu.A. Comparative Analysis of the Results of Modeling of Chemical Accidents Consequences Using Software TOXI+Risk. Bezopasnost truda v promyshlennosti = Occupational Safety in Industry. 2012. № 8. pp. 78–83. (In Russ.).
16. Egorov A.F., Savitskaya T.V., Agapov A.A. Experience of Using TOXI+Risk Software for Specialists Training. Bezopasnost truda v promyshlennosti = Occupational Safety in Industry. 2012. № 5. pp. 22–24. (In Russ.).
17. Agapov A.A., Lazukina I.O., Marukhlenko A.L., Marukhlenko S.L., Sofin A.S. Use of Software Complex TOXI+Risk for Fire Risk Assessment. Bezopasnost truda v promyshlennosti = Occupational Safety in Industry. 2010. № 1. pp. 46–52. (In Russ.).
DOI: 10.24000/0409-2961-2020-11-7-14
Year: 2020
Issue num: November
Keywords : pipeline transportation TOXI+Fluid hammer transient processes S.K. Godunov method fluid hammer pipeline depressurization cavitation