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

Peter Vadasz

doi:10.1115/IMECE2008-68155

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

Peter Vadasz

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	Heat Transfer, Fluid Flows, and Thermal Systems
Publisher	American Society of Mechanical Engineers (ASME)
Pages	1023-1027
Number of pages	5
Edition	PART B
ISBN (Print)	9780791848715
DOIs	https://doi.org/10.1115/IMECE2008-68155
State	Published - 2009
Event	2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008 - Boston, MA, United States Duration: Oct 31 2008 → Nov 6 2008

Publication series

Name	ASME International Mechanical Engineering Congress and Exposition, Proceedings
Number	PART B
Volume	10

Conference

Conference	2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
Country/Territory	United States
City	Boston, MA
Period	10/31/08 → 11/6/08

ASJC Scopus subject areas

Mechanical Engineering

Access to Document

10.1115/IMECE2008-68155

Cite this

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

Analytical prediction of the transition to chaos in porous media natural convection. / Vadasz, Peter.
Heat Transfer, Fluid Flows, and Thermal Systems. PART B. ed. American Society of Mechanical Engineers (ASME), 2009. p. 1023-1027 (ASME International Mechanical Engineering Congress and Exposition, Proceedings; Vol. 10, No. PART B).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Vadasz, P 2009, Analytical prediction of the transition to chaos in porous media natural convection. in Heat Transfer, Fluid Flows, and Thermal Systems. PART B edn, ASME International Mechanical Engineering Congress and Exposition, Proceedings, no. PART B, vol. 10, American Society of Mechanical Engineers (ASME), pp. 1023-1027, 2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008, Boston, MA, United States, 10/31/08. https://doi.org/10.1115/IMECE2008-68155

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

Abstract

Publication series

Conference

ASJC Scopus subject areas

Access to Document

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