The problem of control of the viscous incompressible liquid motion through a pipeline system

  • 1 Institute of Computer Sciences and Technologies – Peter the Great Saint-Petersburg Polytechnic University, Russia


In this paper the solution to the inverse problem of hydrodynamics of the viscous incompressible liquid, moving through pipes of the circular cross-section without a free surface, is given. For a given mass flow at one of the outlets of the pipeline system, the required pressure at its inlet is determined. The numerical simulation of the change in liquid velocity in the pipeline system is carried out for the given pressure variation at the inlet of the system.



  1. Loginov K. V., Myznikov A. M., Fayzullin R. T. Calculation, optimization and control of the operation modes of large hydraulic networks // Mathematical modelling, 2006, vol. 18, № 9, P. 92-106 (in Russian)
  2. Kozlov V. N., Nguyen D. Kh., Firsov A. N. Mathematical modeling and optimization of hydraulic networks at steady state modes of transportation of a weakly compressible fluid // St.Petersbug Polytechnical University Journal. Computer Science. Telecommunication and Control Systems, vol. 4, 2011, P. 42−46 (in Russian)
  3. Nguyen D. Kh., Kozlov V. N., Firsov A. N. Solution of the problem of controlling the non-stationary transportation of a viscous fluid through a pipeline system // St.Petersbug Polytechnical University Journal. Computer Science. Telecommunication and Control Systems, vol. 6, 2011. – P. 190−194 (in Russian)
  4. Kogan M. N., Litvinov V. M., Pimenova T. A., Uspenskiy А. А., Ustinov М. V. Control of the laminat-turbulent transition using a dielectric barrier discharge // TsAGI Science Journal, 2011, vol 42, №6
  5. Avtushenko N. А., Lenevskiy G. S. Mathematical description of the movement of a fluid in a pipeline taking into account the distribution of parameters // The Journal of the Belarusian-Russian University, 2006, №2 (11) (in Russian)
  6. Vallander S. V. Lectures on fluid dynamics. – L.: Izd-vo Leningr. un-ta, 1973, 296 p. (in Russian)
  7. Sorokina N., Firsov A. The problem of viscous incompressible liquid motion through the cylindrical round pipe with non-stationary boundary conditions. In. III international scientific and technical conference “Technics. Technologies. Education. Safety”: Proceedings, Vol.2. Veliko Tarnovo, Bulgaria, 28-29 May 2015, P.9-10 (in Russian)
  8. Sorokina N. Analytical and numerical aspects of the solution of the problem of a viscous weakly compressible liquid mixture motion through the vertical pipe of the circular cross-section // Industry 4.0. – 2018 – Issue 2/2018. – P.66-68

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