The Lyapunov exponents for the partitioned-pipe mixer
Keywords:
partitioned-pipe mixer, chaos, Lyapunov exponentsAbstract
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.
References
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[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. Drazin. Nonlinear Systems. Cambridge Uviversity Press, Cambridge, 1992.
[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. Drazin. Nonlinear Systems. Cambridge Uviversity Press, Cambridge, 1992.
Published
2023-01-27
Issue
pp. 271-280
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Stręk, T. (2023). The Lyapunov exponents for the partitioned-pipe mixer. Computer Assisted Methods in Engineering and Science, 10(3), 271-280. https://cames3.ippt.pan.pl/index.php/cames/article/view/1075
