Acta Physica Sinica, Volume. 69, Issue 7, 074701-1(2020)

Bifurcation and nonlinear evolution of convection in binary fluid mixtures with weak Soret effect

Lai-Yun Zheng1, Bing-Xin Zhao2,3、*, and Jian-Qing Yang2
Author Affiliations
  • 1School of Mechanical Engineering, Ningxia University, Yinchuan 750021, China
  • 2School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China
  • 3Ningxia Key Laboratory of Scientific/Engineering Computing and Data analysis, Yinchuan 750021, China
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    Figures & Tables(13)
    Sketch of the two-dimensional convection model
    (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 SOCrepresents the SOC solutions with n rolls
    (a) Spatio-temporal structure, (b) the time series of and (c) power spectral density for
    The time series of the vertical velocity w at two monitoring points (a) and (b) for
    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
    The variation of (a) blinking frequency and (b) oscillation frequency as a function of the Rayleigh number
    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)
    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
    The spatio-temporal development and transient structures of the flow field at typical times for
    The variation of (a) , M, and (b) the vertical velocity at the monitoring points for
    The structure of flow field for the SOCstate 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
    The variation of with r for the SOCstate
    • Table 1. Comparison of critical Rayleigh numbers for each state, and

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      Table 1. Comparison of critical Rayleigh numbers for each state, and

      $ \psi $$ r_{\rm c} $$ r_{\rm {sn}}^{\rm {SOC}} $$ r_{\rm {start}}^{\rm {BTW}} $$ r_{\rm {start}}^{\rm {LTW}} $$ r^* $
      –0.101.1111.0621.0891.145
      –0.021.0351.0081.0131.01721.022
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    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

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    Paper Information

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    Received: Dec. 4, 2019

    Accepted: --

    Published Online: Nov. 20, 2020

    The Author Email:

    DOI:10.7498/aps.69.20191836

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