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Promoting or Suppressing Transition to Weak Turbulence in Porous Media Convection via Feedback Control

[+] Author Affiliations
Peter Vadasz

Northern Arizona University, Flagstaff, AZ; University of KwaZulu Natal, Durban, KZN, South Africa

Paper No. IMECE2011-65606, pp. 107-114; 8 pages
doi:10.1115/IMECE2011-65606
From:
  • ASME 2011 International Mechanical Engineering Congress and Exposition
  • Volume 6: Fluids and Thermal Systems; Advances for Process Industries, Parts A and B
  • Denver, Colorado, USA, November 11–17, 2011
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5492-1
  • Copyright © 2011 by ASME

abstract

A method of using feedback control to promote or suppress the transition to chaos in porous media convection is demonstrated in this paper. Feedback control is used in the present paper to provide a comparison between an analytical expression for the transition point to chaos and numerical results. In addition it is shown that such a feedback control can be applied as an excellent practical means for controlling (suppressing or promoting) chaos by using a Magyari transformation. The latter shows that the controlled model can be transformed into the uncontrolled one via a simple transformation of variables implying that the main effect the feedback control has on the solution is equivalent to altering the initial conditions. The theoretical and practical significance of such an equivalent alteration of the initial conditions is presented and discussed.

Copyright © 2011 by ASME

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