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Warianty tytułu
Języki publikacji
Abstrakty
This paper presents a mechanical model of the partitioned-pipe mixer (PPM) in case where pipe of the static mixer rotates with angular periodic velocity. Mixing becomes more efficient if the forcing of fluid mixing process is time periodic. Chaos in duct flows can be achieved by time modulation or by spatial changes along the duct axis. The values of Lyapunov exponents for flow in PPM are calculated.
Słowa kluczowe
Rocznik
Tom
Strony
271--280
Opis fizyczny
Bibliogr. 15 poz., rys., wykr.
Twórcy
autor
- Poznań University of Technology, Institute of Applied Mechanics [Politechnika Poznańska, Instytut Mechaniki Stosowanej], ul. Piotrowo 3, 60-965 Poznań
Bibliografia
- [1] H. Aref, S. Balachandar. Chaotic advection in a Stokes flow. Physics of Fluids, 29: 3515-3521, 1986.
- [2] J. Awrejcewicz. Oscillations in Discrete Deterministic Systems (in Polish). WNT, Warsaw, 1996.
- [3] G. Bajer, F.A. McRobie, J.M.T. Thomson. Implication of chaos theory for engineering. Proc. Inst. Mech. Engrs., 211, part C: 349-363, 1998.
- [4] G.L. Baker, J.P. Gollub. Chaotic dynamics: an introduction. University Press, Cambridge, 1996.
- [5] P.G. Draz in. Nonlinear- Systems. Cambridge Uviversity Press, Cambridge, 1992.
- [6] J.P. Eckmann, S.O. Kamphorst, D. Ruelle, S. Ciliberto. Liapunov exponentsfrom time series. Physical Review A, 34: 6, 4971-4979, 1986
- [7] J.D. Farmer, E. Ott, J.A. Yorke. The dimension of strange attractor. Physica 1D, 153, 1983.
- [8] E. Fehlberg. New high-order Runge-Kutta formulas with step-size control for·systemsof first- and second-order differential equations. Zeitschraft für Angewandte Mathematik und Mechanik, 44: 17-29, 1964.
- [9] B.A. Finlayson. Method of weighted residuals and variational principles. Academic Press, New York, 1972.
- [10] M. Henon. On the numerical computational of Poincare maps. Physica 5D, 412-414, 1982.
- [11] T. Kapitaniak. Chaos for Engineers. Springer- Verlag, Berlin, 1998.
- [12] D.V. Khakhar, J. G. Franjione, J.M. Ottino. A case study of chaotic mixing in deterministic flows: the partitioned pipe mixer. Chemical Engineering Science, 42: 2909-2926, 1987.
- [13] J.M. Ottino. The Kinematics of Mixing: Stretching, Chaos, and Transport. Cambridge University Press, Cambridge, 1989.
- [14] T. Stręk. Computer simulation of chosen stages of mixing of two polymers, Doctoral Thesis, Poznań University of Technology, Poznań., 2000.
- [15] A. Wolf, J.B. Swift, H.L. Swinney, J.A. Vastano. Determining Lyapunov exponents from a time series. Physica 16D: 285-317, 1985
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0009-0077