Lz. Ning et al., FORMATION PROCESS OF THE TRAVELING-WAVE STATE WITH A DEFECT IN BINARY-FLUID CONVECTION, Progress of theoretical physics, 98(3), 1997, pp. 551-566
We give results of simulations on the transient evolution from conduct
ion to an extended traveling wave (ETW) state containing a sink defect
slightly above the onset of the subcritical instability for a binary
fluid mixture with the separation ratio psi = -0.47 confined in a rect
angular cell of aspect ratio Gamma = 46. The simulation was performed
using the two-dimensional full fluid equations of motion. We find that
the system starting from a conduction state first experiences a linea
r stage with independently counterpropagating wave (CPW) packets and t
hen develops a modulated traveling wave (MTW) and a traveling wave (TW
) containing transient sink and source defects. It then ultimately evo
lves into a TW with a stable sink defect similar to those observed in
experiments. For our parameters, the system evolves into the nonlinear
regime as the lateral concentration profile becomes a trapezoidal, st
rongly non-harmonic shape in the localized regions. Comparisons with o
ther calculations and experiments are presented.