Promoting or suppressing transition to weak turbulence in porous media convection via feedback control

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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.

Original languageEnglish (US)
Title of host publicationASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011
Pages107-114
Number of pages8
Volume6
EditionPARTS A AND B
StatePublished - 2011
EventASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 - Denver, CO, United States
Duration: Nov 11 2011Nov 17 2011

Other

OtherASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011
CountryUnited States
CityDenver, CO
Period11/11/1111/17/11

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ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Vadasz, P. (2011). Promoting or suppressing transition to weak turbulence in porous media convection via feedback control. In ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 (PARTS A AND B ed., Vol. 6, pp. 107-114)