Analytical prediction of the transition to chaos in porous media natural convection

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The failure of the linear stability analysis to predict accurately the transition point from steady to chaotic solutions in porous media natural convection motivates this study. A weak non-linear solution to the problem is shown to produce an accurate analytical expression for the transition point as long as the validity condition and consequent accuracy of the latter solution is fulfilled. The analytical results are compared to accurate computational solutions showing an excellent fit within the validity domain of the analytical solution.

Original languageEnglish (US)
Title of host publication2008 Proceedings of ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
Pages1023-1027
Number of pages5
EditionPART B
DOIs
StatePublished - Sep 21 2009
Event2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008 - Boston, MA, United States
Duration: Oct 31 2008Nov 6 2008

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings
NumberPART B
Volume10

Other

Other2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
CountryUnited States
CityBoston, MA
Period10/31/0811/6/08

ASJC Scopus subject areas

  • Mechanical Engineering

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  • Cite this

    Vadasz, P. (2009). Analytical prediction of the transition to chaos in porous media natural convection. In 2008 Proceedings of ASME International Mechanical Engineering Congress and Exposition, IMECE 2008 (PART B ed., pp. 1023-1027). (ASME International Mechanical Engineering Congress and Exposition, Proceedings; Vol. 10, No. PART B). https://doi.org/10.1115/IMECE2008-68155