Model of forced turbulence for pulsing flow

• Autorzy: Dmytriv Vasyl

Identyfikatory

DOI

10.29354/diag/118651

• Języki publikacji: EN

Abstrakty

EN

The article deals with fluid motion along an infinite hose. Taking into consideration the Stokes equation, the tangential friction stresses according to Newton and the Reynolds equation, the differential equation of the velocity change in radius is developed taking into account the pulsating component of the friction forces in the turbulent flow. Turbulence is defined as the impulse component of a flow, characterized by a pressure drop along a dynamic length of flow, a frequency response, and an oscillation amplitude of the pressure drop of pulse (which is given by the time equation of the oscillation). The velocity distribution along the radius of the hose in the time interval of one second was modelled for pressure drops in the range from 6000 to 18000 Pa and the amount of transported medium in the range from 1.667·10-5 to 6.667·10-5 m3 , which corresponded to the length of pulse plug. The dynamic viscosity of the medium (milk) of 1.79 · 10-3 Pa·s and its density of 10273 N·s2 /m4 were accounted at the simulation. The developed analytical dependence of the velocity of the forced turbulence of the pulsating flow allows to calculate the absolute value of the velocity at a given point of crosssection of the pipeline, and characterizes the physical process of flow of Newtonian fluids and gases in the pipeline.

Słowa kluczowe

EN

forced turbulence; velocity of pulsating flow; dynamic length; pressure drop; Karman constant

PL

turbulencje; prędkość; przepływ pulsacyjny; spadek ciśnienia; stała Karmana

• Wydawca: Polskie Towarzystwo Diagnostyki Technicznej
• Czasopismo: Diagnostyka
• Rocznik: 2020
• Tom: Vol. 21, No. 1
• Strony: 89--96
• Opis fizyczny: Bibliogr. 20 poz., rys.

Twórcy

autor

Dmytriv Vasyl

• Lviv Polytechnic National University, Institute of Engineering Mechanics and Transport, Lviv, Ukraine

Bibliografia

• 1. Lee TS, Liu X, Li GC, Low HT. Numerical study on sinusoidal fluctuated pulsatile laminar flow through various constrictions. Communications in computational physics. 2007; 2(1): 99-122.
• 2. Eckhardt B, Schneider TM, Hof B, Westerweel J. Turbulence transition in pipe flow. Annu. Rev. Fluid Mech. 2007; 39: 447-468.
• 3. Avila K, Moxey D, de Lozar A, Avila M, Barkley D. & Hof B. The onset of turbulence in pipe flow. Science. 2011; 333 (6039): 192-196.
• 4. Barkley D, Song BF, Mukund V, Lemoult G, Avila M, Hof B. The rise of fully turbulent flow. Nature. 2015; 526 (7574): 550-553. https://doi.org/10.1038/nature15701.
• 5. Duo Xu, Sascha Warnecke, Baofang Song, Xingyu Ma, Björn Hof. Transition to turbulence in pulsating pipe flow. Journal of Fluid Mechanics. 2017; 831: 418-432. https://doi.org/10.1017/jfm.2017.620.
• 6. Joel Sundstrom LR, Cervantes MJ. On the similarity of pulsating and accelerating turbulent pipe flows. Flow, Turbulence and Combustion. 2018; 100(2): 417-436. https://doi.org/10.1007/s10494-017-9855-5.
• 7. Manna M, Vacca A, Verzicco R. Pulsating pipe flow with large-amplitude oscillations in the very high frequency regime. Part 1. Time-averaged analysis. J. Fluid Mech. 2012; 700:246–282. https://doi.org/10.1017/jfm.2012.129.
• 8. Mao Z, Hanratty TJ. Studies of the wall shear stress in a turbulent pulsating pipe flow. J. Fluid Mech. 1986; 170: 545-564.
• 9. Tardu SF, Binder G, Blackwelder RF. Turbulent channel flow with large-amplitude velocity oscillations. J. Fluid Mech. 1994; 267: 109-151.
• 10. He S, Jackson JD. An experimental study of pulsating turbulent flow in a pipe. Eur. J. Mech. (B/Fluids). 2009; 28: 309-320.
• 11. Scotti A, Piomelli U. Numerical simulation of pulsating turbulent channel flow. Phys. Fluids. 2001; 13: 1367-1384.
• 12. He S, Seddighi M. Transition of transient channel flow after a change in Reynolds number. J. Fluid Mech. 2015; 764:395-427. https://doi.org/10.1017/jfm.2014.698.
• 13. Weng C, Boij S, Hanifi A. Numerical and theoretical investigation of pulsatile turbulent channel flow. J. Fluid Mech. 2016;792:98–133. https://doi.org/10.1017/jfm.2016.73.
• 14. Seddighi M, He S, Vardy AE, Orlandi P. Direct numerical simulation of an accelerating channel flow. Flow Turbul. Combust. 2014; 92: 473-502. https://doi.org/10.1007/s10494-013-9519-z.
• 15. He S, Jackson JD. A study of turbulence under conditions of transient flow in a pipe. J. Fluid Mech. 2000; 408: 1-38.
• 16. Dmytriv V, Tkachyshyn R. Investigation of the intensity of milk yield in different modes of operation of milking machines. Bulletin of Lviv State Agrarian University: Agroengineering Research. 2006; 10: 226-230.
• 17. Dmytriv VT. Dynamic modeling of speed ability of milk movement in milking hose of milking machine. Third International Scientific Conference "Measurement, Control and Diagnostics in Technical Systems". Vinnytsia, Ukraine, Vinnytsia National Technical University, October 27-29. 2015; 113-115.
• 18. Povkh IL. Technical hydrodynamics. Leningrad, Russia: Mashinostroenie, 1976.
• 19. Dmytriv VT, Dmytriv IV, Lavryk YM. Study of the pressure regulator work with a spring-damper system applied to milking machine, INMATEH - Agricultural Engineering. Bucharest/Romania. 2017; 52(2): 61-67. http://www.inmateh.eu/INMATEH_2_2017/52-09-Dmytriv.pdf
• 20. Dmytriv V, Dmytriv I, Dmytriv T. Recearch in thermo-anemometric measuring device of pulse flow of two-phase medium. 17th International Scientific Conference: Engineering for rural development. Jelgava, Latvia, University of Life Sciences and Technologies Faculty of Engineering. Proceedings, May 23-25. 2018; 17: 898-904. https://doi.org/:10.22616/ERDev2018.17.N200.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).