Lai-Yun Zheng, Bing-Xin Zhao, Jian-Qing Yang. Bifurcation and nonlinear evolution of convection in binary fluid mixtures with weak Soret effect [J]. Acta Physica Sinica, 2020, 69(7): 074701-1
- Acta Physica Sinica
- Vol. 69, Issue 7, 074701-1 (2020)
Fig. 1. Sketch of the two-dimensional convection model
Fig. 2. (a) Bifurcation diagram for
. (b) close-up view of the part of the bifurcation diagram delimited by the straight dashed lines depicted in (a). Where SOC
represents the SOC solutions with n rolls
. (b) close-up view of the part of the bifurcation diagram delimited by the straight dashed lines depicted in (a). Where SOC
represents the SOC solutions with 
Fig. 3. (a) Spatio-temporal structure, (b) the time series of
and (c) power spectral density for
and (c) power spectral density for
Fig. 4. The time series of the vertical velocity w at two monitoring points (a)
and (b)
for
and (b)
for
Fig. 5. Comparison of the lateral profiles and concentration fields between the Blinking and LTW states at
: (a) The lateral profile and (c) concentration field of the Blinking state; (b) The lateral profile and (d) concentration field of the LTW state
: (a) The lateral profile and (c) concentration field of the Blinking state; (b) The lateral profile and (d) concentration field of the LTW state Fig. 6. The variation of (a) blinking frequency
and (b) oscillation frequency
as a function of the Rayleigh number
and (b) oscillation frequency
as a function of the Rayleigh number Fig. 7. The variation of
of the Blinking and LTW states as a function of r . (b) Close-up view of the part delimited by the straight dashed lines depicted in (a)
of the Blinking and LTW states as a function of Fig. 8. Structures of the flow field of LTW state: (a) Spatio-temporal structure; (b) a large-scale concentration current; (c) a transient structure of the concentration field
Fig. 9. The spatio-temporal development and transient structures of the flow field at typical times for
Fig. 10. The variation of (a)
, M , and (b) the vertical velocity at the monitoring points for
, Fig. 11. The structure of flow field for the SOC
state at
: (a) The lateral profile on the horizontal centerline of the cavity; (b) the streamlines and the structure of the associated temperature field; (c) the structure of the concentration field
state at
: (a) The lateral profile on the horizontal centerline of the cavity; (b) the streamlines and the structure of the associated temperature field; (c) the structure of the concentration field Fig. 12. The variation of
with r for the SOC
state
with state
|
Table 1. Comparison of critical Rayleigh numbers for each state,
and
and
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