FRACTAL FEATURES OF OSCILLATORY CONVECTION IN THE HALF-FLOATING ZONE

Authors
Citation
Zm. Tang et Wr. Hu, FRACTAL FEATURES OF OSCILLATORY CONVECTION IN THE HALF-FLOATING ZONE, International journal of heat and mass transfer, 38(17), 1995, pp. 3295-3303
Citations number
15
Categorie Soggetti
Mechanics,"Engineering, Mechanical",Thermodynamics
ISSN journal
00179310
Volume
38
Issue
17
Year of publication
1995
Pages
3295 - 3303
Database
ISI
SICI code
0017-9310(1995)38:17<3295:FFOOCI>2.0.ZU;2-M
Abstract
Unsteady and two-dimensional numerical simulation is applied to study the transition process from steady convection to turbulence via subhar monic bifurcation in thermocapillary convection of a liquid bridge in the half-floating zone. The results of numerical tests show clearly th e fractal structure of period-doubling bifurcations, and frequency-loc king at f/4, f/8, f/16 with basic frequency f is observed with increas ing temperature difference. The Feigenbaum universal constant is given by the present paper as delta(4) = 4.853, which can be compared with the theoretical value 4.6642016.