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
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.