Chaotic Behavior of Natural Convection in a Tall Rectangular Cavity with Non-Isothermal Walls

Autor:	H. E. Dillon, A. F. Emery, A. M. Mescher, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Zacharias Anastassi
Rok vydání:	2011
Předmět:	Hopf bifurcation Natural convection Convective heat transfer Prandtl number Mechanics Physics::Fluid Dynamics symbols.namesake Classical mechanics Rayleigh length Compressibility symbols Rayleigh scattering Navier–Stokes equations Mathematics
Zdroj:	AIP Conference Proceedings.
ISSN:	0094-243X
Popis:	A computational model is presented that extends prior work on unsteady natural convection in a tall rectangular cavity with aspect ratio 10. The solution to the weakly compressible Navier‐Stokes equation is computed for a range of Rayleigh numbers between 2⋅107 and 2.2⋅108 with Prandtl number 0.71. A detailed spectral analysis has been performed, which shows dynamic system behavior beyond the Hopf bifurcation that was not previously observed. The wider Rayleigh range reveals new dynamic system behavior for the rectangular geometry, specifically a return to a stable oscillatory behavior that was not predicted in prior work.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::75e17a51ad30a6970d157c64f08b6bcc https://doi.org/10.1063/1.3636686 Zobrazit plný text záznamu