The Lyapunov exponents for the partitioned-pipe mixer

  • Tomasz Stręk Poznań University of Technology

Abstract

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.

Keywords

partitioned-pipe mixer, chaos, Lyapunov exponents,

References

[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. Drazin. Nonlinear Systems. Cambridge Uviversity Press, Cambridge, 1992.
Published
Jan 27, 2023
How to Cite
STRĘK, Tomasz. The Lyapunov exponents for the partitioned-pipe mixer. Computer Assisted Methods in Engineering and Science, [S.l.], v. 10, n. 3, p. 271-280, jan. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/1075>. Date accessed: 17 may 2024.
Citation Formats
Issue
Vol 10 No 3 (2003)
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.