Volume 36 Issue 4
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Article Navigation >  Chinese Journal of Space Science  > 2016  >  36(4): 487-491
HU Kaixin, HE Meng, CHEN Qisheng. Theoretical Analysis for the Elastic Instability of Thermocapillary Liquid Layers for Upper Convected Maxwell (UCM) Fluid[J]. Chinese Journal of Space Science, 2016, 36(4): 487-491. doi: 10.11728/cjss2016.04.487
Citation: HU Kaixin, HE Meng, CHEN Qisheng. Theoretical Analysis for the Elastic Instability of Thermocapillary Liquid Layers for Upper Convected Maxwell (UCM) Fluid[J]. Chinese Journal of Space Science, 2016, 36(4): 487-491. doi: 10.11728/cjss2016.04.487
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Theoretical Analysis for the Elastic Instability of Thermocapillary Liquid Layers for Upper Convected Maxwell (UCM) Fluid

doi: 10.11728/cjss2016.04.487 cstr: 32142.14.cjss2016.04.487

  • Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190

  • Received Date: 2015-11-10
  • Rev Recd Date: 2016-05-09
  • Publish Date: 2016-07-15
    Abstract
  • The linear stability of thermocapillary liquid layers for Upper Convected Maxwell (UCM) fluid is investigated. Elastic instability is found. The rate of perturbation growth increases with the wave number. For UCM fluid, the critical Marangoni number does not exist, which is different from Newtonian fluid. Instead, a critical wave number is found above which unstable elastic waves appear. The critical wave number decreases with elastic number and Marangoni number. When elastic number approaches zero, the fluid becomes Newtonian fluid with the critical wave number tending to infinity. The wave speed of elastic wave stays constant for different wave numbers and propagating directions. However, the growth rate reaches its maximum in a specific direction. Energy analysis shows the work done by perturbation stress contributes most to the perturbation energy of elastic wave.

     

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