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Chinese Journal of Space Science ›› 2018, Vol. 38 ›› Issue (3): 373-379.doi: 10.11728/cjss2018.03.373

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Transition Process of Supercritical Thermocapillary Convection in a Shallow Annular Pool for Low Prandtl Number Fluids

ZHANG Li1,2, LI Yourong1, LIU Lina1, WU Chunmei1   

  1. 1 Key Laboratory of Low-grade Energy Utilization Technologies and Systems of Ministry of Education, College of Power Engineering, Chongqing University, Chongqing 400044;
    2 Chongqing Nanfang Translators College of Sichuan International Studies University, Chongqing 401120
  • Received:2017-08-22 Revised:2018-01-24 Online:2018-05-15 Published:2018-05-12

Abstract:

In order to understand the transition process of thermocapillary convection of low Prandtl number (Pr) fluids, a series of three-dimensional numerical simulations on thermocapillary convection of Pr=0.011 fluid in a shallow annular pool are performed. Results indicate that the flow is axisymmetric steady flow at a small Marangoni number. When Marangoni number exceeds a critical value, the flow destabilizes and bifurcates to the hydrothermal wave. In this case, the wave number decreases and the fundamental frequency increases with the increase of Marangoni number. When Marangoni number continue increasing, the hydrothermal waves are enhanced and bifurcated to the radial waves. During this transition, there exists a sharp drop of the wave number. Finally, the noise on frequency spectrum increases and behaves in multi-frequencies. Therefore, the bifurcation route of thermocapillary convection is from axisymmetric steady flow, hydrothermal wave, radial waves with one frequency to three-dimensional oscillatory flow with multi-frequencies.

Key words: Shallow annular pool, Thermocapillary convection, Transition route, Low Prandtl number fluid, Numerical simulation

CLC Number: