Global Linear Stability Analysis of Thermo-solutal Marangoni Convection in a Liquid Bridge Under Zero Gravity

Radeesha Laknath Agampodi Mendis, Atsushi Sekimoto, Yasunori Okano, Hisashi Minakuchi, Sadik Dost

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


Marangoni convection is induced by the variation of surface tension along a free surface, which depends not only on temperature but also concentration. However, the onset of thermo-solutal Marangoni convection in a liquid bridge system is still unknown. Here, we perform a global linear stability analysis to determine the theoretical onset of the Marangoni convection occurring in the half-zone liquid bridge of the floating zone method of SixGe1−x crystal growth. The cylindrical liquid bridge is heated from the bottom and the highest Silicon concentration is on the top. The thermal and solutal Marangoni forces are in the same direction in this configuration. The stability diagram of the axisymmetric base flow is obtained by solving the large-scale eigenvalue problem using a Jacobian-free Arnoldi method. Oscillatory disturbance patterns appear with different azimuthal wavenumbers for unstable eigenmodes. The present linear stability analysis results explain our previous numerical simulation results.

Original languageEnglish
Pages (from-to)729-735
Number of pages7
JournalMicrogravity Science and Technology
Issue number4
Publication statusPublished - Aug 1 2020
Externally publishedYes


  • Floating zone method
  • Global linear stability analysis
  • Liquid bridge
  • Numerical simulation

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering(all)
  • Physics and Astronomy(all)
  • Applied Mathematics


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