TY - GEN
T1 - Analytical prediction of the transition to chaos in porous media natural convection
AU - Vadasz, Peter
PY - 2009/9/21
Y1 - 2009/9/21
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=70349138864&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70349138864&partnerID=8YFLogxK
U2 - 10.1115/IMECE2008-68155
DO - 10.1115/IMECE2008-68155
M3 - Conference contribution
AN - SCOPUS:70349138864
SN - 9780791848715
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings
SP - 1023
EP - 1027
BT - 2008 Proceedings of ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
T2 - 2008 ASME International Mechanical Engineering Congress and Exposition, IMECE 2008
Y2 - 31 October 2008 through 6 November 2008
ER -