Volume 36 Issue 4
Jul.  2016
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CHEN Qisheng, HE Meng, HU Kaixin. Linear Stability Analysis of Thermocapillary Convection in Annular Pools[J]. Journal of Space Science, 2016, 36(4): 476-480. doi: 10.11728/cjss2016.04.476
Citation: CHEN Qisheng, HE Meng, HU Kaixin. Linear Stability Analysis of Thermocapillary Convection in Annular Pools[J]. Journal of Space Science, 2016, 36(4): 476-480. doi: 10.11728/cjss2016.04.476

Linear Stability Analysis of Thermocapillary Convection in Annular Pools

doi: 10.11728/cjss2016.04.476
  • Received Date: 2015-11-10
  • Rev Recd Date: 2016-05-09
  • Publish Date: 2016-07-15
  • The linear stability of thermocapillary convection in annular pools is studied through the Chebyshev-collocation method. As Pr=6.8, the ratio of outer radius and inner radius is 0.5, and the range of aspect ratio A is from 0.25 to 1.4, numerical results show that the critical mode of the flow are oscillating. The critical Marangoni number, critical wave number and oscillating frequency decreases as A increases. Energy analysis shows that surface tension in the radial and azimuthal directions plays a leading role in the variation of perturbation energy. And the interaction between perturbation flow and the basic flow is small compared to the two former terms. We find out that the work done by the surface tension in the radial direction reaches minimum were analyzed, while the work done by the surface tension in the azimuthal direction and the interaction between the perturbation flow and the basic flow reach maximum, as A=0.8.

     

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