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Analytical modelling of Karman vortex street

Identyfikatory
Warianty tytułu
PL
Analityczne modelowanie ścieżki wirowej
Języki publikacji
EN
Abstrakty
EN
A new approach to the Karman vortex street modelling is presented. The model is based on observations of the Karman vortex street. The idea of the model is based on fundamental mechanical formulas. According to the model, vortices are created on the bluff body surface in the area of the boundary separation. The grow-up of the vortex results from the process looking like a reeling of some amount of the liquid on the vortex core during its rolling downstream on the surface of unmoved stagnation region. This process is represented in the model as a succeeding addition layer attachment. The vortex evolution has been divided into three stages. Hence three zones downstream the bluff body are distinguished: intensive development, stabilization and vortices decay. Influence of the fluid viscosity on the development process and rotation energy of the vortex has been also analyzed.
PL
W artykule przedstawiono nowe podejście do problemu modelowania ścieżki wirowej Karmana. Wykorzystuje ono wnioski z obserwacji zjawiska i stanowi próbę opisania go prostymi zależnościami właściwymi dla fizyki klasycznej. Wiry powstają na powierzchni przeszkody w obszarze oderwania od strugi. Proces wzrostu wiru polega na nawijaniu na jego rdzeń cienkiej warstwy płynu w miarę oddalania się od punktu oderwania. W modelu proces ten jest reprezentowany przez "obrastanie" wiru kolejnymi warstwami. Proces rozwoju został podzielony na trzy etapy. Zostały wyróżnione trzy strefy rozwoju wiru: intensywnego rozwoju, stabilizacji i zaniku. Przeanalizowano wpływ lepkości płynu na proces rozwoju i energię wiru.
Rocznik
Strony
413--425
Opis fizyczny
Bibliogr. 31 poz., fot., rys.
Twórcy
  • Warsaw University of Technology, Institute of Electronics Systems, Poland
  • Warsaw University of Technology, Institute of Electronics Systems, Poland
  • Warsaw University of Technology, Institute of Electronics Systems, Poland
Bibliografia
  • 1. Cousins T., Foster S.A., Johnson P.A.: A linear and accurate flowmeter using vortex shedding. Proc. Power Fluid for Process Control Symposium, Inst. Measurement and Control, Guildford 1973, UK, pp. 45-46.
  • 2. Cousins T.: The performance and design of vortex meters. Proc. Int Conf. Flow Measurement in the mid 1970’s, Glasgow, UK.
  • 3. Miller R.W., De Carlo J.P., Cullen J.T.: A vortex flowmeter - calibration results and application experience. Proc. Flow-Con 1977, Brighton, UK.
  • 4. Kalkhof H.G.: Influence of the bluff body shape on the measurement characteristics of vortex flowmeters. Proc. of Conf. on Metering of Petroleum and its Products, 7-8 March 1985, London, UK.
  • 5. Miau J.J., Wu C.W., Hu C.C., Chou J.H.: A study on signal quality of a vortex flowmeter downstream of two elbows out-of-plane. Flow Measurement and Instrumentation 13 (2002), pp. 75-85.
  • 6. Lucas G.P., Turner J.T.: Influence of cylinder geometry on the quality of its vortex shedding signal. Proc. of International Conference on Flow Measurement FLOMEKO’85, 20-23 August 1985, Melbourne, Australia.
  • 7. Bentley J.P.: The development of a vortex flowmeter for gas flows in large ducts. Proc. of International Conference on Flow Measurement FLOMEKO’85, 20-23 August 1985, Melbourne, Australia.
  • 8. Pankanin G.L.: A New Approach to the Bluff Body Design in Vortex Flowmeters. Proc. of International Symposium on Fluid Control and Measurement FLUCOME TOKYO'85, Japan, pp. 1029-1034.
  • 9. Pankanin G.L., Pytlak T.: New Development in Vortex Meter Design. Proc. of International Symposium on Fluid Control Measurement, Mechanics and Flow Visualisation FLUCOME'88, Sheffield, UK, pp. 479-483.
  • 10. Igarashi T.: Flow characteristics around a circular cylinder with a slit (1st report, Flow control and flow patterns). Bulletin of the JSME, no. 154, (1978), pp. 656-664.
  • 11. Igarashi T.: Flow characteristics around a circular cylinder with a slit (2nd report, Effect of boundary layer suction). Bulletin of the JSME, no. 154, (1978), pp. 1389-1397.
  • 12. Popiel, C.O., Robinson D.I., Turner J.T.: Vortex shedding from specially shaped cylinders. Proc. of 11th Australasian Fluid Mechanics Conference, 14-18 December 1992, Australia, pp. 503-506.
  • 13. Igarashi T.: Fluid flow around a bluff body used for a Karman vortex flowmeter. Proc. of International Symposium on Fluid Control and Measurement FLUCOME TOKYO'85, Japan, pp.1017-1022.
  • 14. Pankanin G.L., Berliński J., Chmielewski R.: Karman Vortex Street Visualization. Proc. of International Symposium on Flow Visualization, Edinburgh 26-29 August 2000, UK, paper no. 239.
  • 15. Pankanin G., Kulińczak A., Berliński J.: Karman vortex street parametrization with image processing application. Proc. of SPIE Optoelectronic and Electronic Sensors V, 2003, vol. 5124, pp. 186-192.
  • 16. Pankanin G., Kulińczak A., Berliński J.: Image Processing in Karman Vortex Street Identification. Proc. of the 7th Triennal International Symp. on Fluid Control, Measurement and Visualization FLUCOME’03, Italy, 2003.
  • 17. Pankanin G., Kulińczak A., Berliński J.: Image Processing in Karman Vortex Street Identification. Proc. of the 7th Triennal International Symp. on Fluid Control, Measurement and Visualization FLUCOME’03, Italy, 2003.
  • 18. Terao Y., Choi H.M., Takamoto M., Matsui G.: Measurement of Karman vortex street shed in a circular pipe using triple hot-wire probe. Proc. of International Conference of Flow Measurement FLOMEKO’98, Sweden, pp. 197-201.
  • 19. Terao Y., Choi H.M., Edra R. B., Takamoto: An experimental study on flow structure in vortex flowmeters. Proc. of International Conference of Flow Measurement FLOMEKO 1993, Korea, pp. 507-514.
  • 20. Berliński J., Chmielewski R., Pankanin G.L.: Vortex Flow Field Investigations with Application of Hot-Wire Anemometer. Proc. of International Conference of Flow Measurement FLOMEKO 2000, Salvador, Brazil.
  • 21. Pankanin G.L., Berliński J., Chmielewski R.: Karman Vortex Street Visualization. Proc. of International Symposium on Flow Visualization, UK, paper no. 239.
  • 22. Birkhoff G.: Formation vortex streets. Journal of Applied Physics 24, no. 1 (1953), pp. 98-103.
  • 23. Gerrard J.H.: The mechanics of the formation region of vortices behind bluff bodies. J. Fluid Mech. 25 (1966) pp. 401-413.
  • 24. Chaplin J.R.: Computer model of vortex shedding from a cylinder, Journal of the Hydraulics Division, Proc. of the American Society of Civil Engineering, 1973, pp. 155-165.
  • 25. Abernathy F.H., Kronauer R.E.: The formation of vortex streets. Journal of Fluid Mechanics, vol.13, part 1, 1962, pp. 1-20.
  • 26. Gerrard J.H.: Numerical computation of the magnitude and frequency of the lift on a circular cylinder. Philosophical Transactions, Royal Society of London, vol. 261, series A, 1967, pp. 137-162.
  • 27. Sarpkaya T.: An analytical study of separated flow about circular cylinders. Journal of Basic Engineering, vol. 90, no.4, 1968, pp. 511-520.
  • 28. Laird A.D.K.: Eddy formation behind circular cylinders. Journal of the Hydraulics Division ASCE, vol. 97, No. HY6, Proc. Paper 8170, June 1971, pp. 763-775.
  • 29. Cousins T., Hayward A.J.T., Scott R.: Design and performance of a new vortex shedding flow meter. Proc. of IMEKO Dusseldorf 1989, pp. 151-163.
  • 30. Hans V., Windorfer H.: Comparison of pressure and ultrasound measurements in vortex flow-meters. Measurement 33 (2003), pp. 121-133.
  • 31. Pankanin G.L., Berlinski J., Chmielewski R.: Simulation of Karman vortex street development using new model, Metrology and Measurement Systems (in the next issue).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW1-0022-0005
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