The Numerical Study of Co-existence Effect of Thermal and Solutal Marangoni Convections in a Liquid Bridge

Chihao Jin, Atsushi Sekimoto, Yasunori Okano, Hisashi Minakuchi

Research output: Chapter in Book/Report/Conference proceedingChapter


Marangoni convection is a flow along the interface between two fluids due to the variation of surface tension, which is mainly caused by temperature and/or concentration gradients, namely thermal and/or solutal Marangoni convection(s). During the crystal growth by the floating zone method, Marangoni convection may induce the striation and affect the quality of growing crystal. Therefore, it is necessary to understand the convective phenomenon and control it. In this study, a three-dimensional configuration of the half-zone liquid bridge in the crystal growth of Si x Ge 1-x was selected by establishing the temperature and concentration differences. The equations of continuity, momentum, energy and mass transfer were solved by the PISO algorithm in the OpenFOAM. Thermal and solutal Marangoni convections were set to flow in the opposite direction under zero gravity in the melt with different Marangoni numbers. Results have shown that when Ma C is larger than −Ma T , the flow is steady and axisymmetric, while Ma C is smaller than −Ma T , the flow is unsteady and irregular. As for the control of Marangoni convection, rotation of top and bottom plane in the liquid bridge was applied during the crystal growth. With different rotation speeds and directions, the suppression of Marangoni convection can be effectively realized by the appropriate forced rotation.

Original languageEnglish
Title of host publicationLecture Notes in Networks and Systems
Number of pages8
Publication statusPublished - 2019
Externally publishedYes

Publication series

NameLecture Notes in Networks and Systems
ISSN (Print)2367-3370
ISSN (Electronic)2367-3389


  • Floating zone
  • Marangoni convection
  • Numerical simulation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications


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