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Numerical simulation of Marangoni convection in consideration of free surface displacement
en
Marangoni convection
numerical analysis
simulation
liquid bridge
Prandtl number
temperature gradient
Navier Stokes equation
boundary condition
後藤 雅享
志田 謙一
河村 洋
依田 真一
Goto Masayuki
Shida Kenichi
Kawamura Hiroshi
Yoda Shinichi
宇宙開発事業団
National Space Development Agency of Japan (NASDA)
NASDA Technical Memorandum: Marangoni Convection Modeling Research: Annual Report April 1, 2000 - March 31, 2001
73-104
2001-12-25
Numerical simulation concerning the thermocapillary convection in a half-zone liquid bridge taken static and dynamic surface deformation into account was conducted. The liquid bridge has a free surface, which deforms due to the thermicapillary-driven flow as well as the gravity. In this research, the fundamental equations and the boundary conditions were derived for the concerned configuration with taking the static axisymmetric and for the dynamic 3 D free surface displacement into account. Then, (1) code validation concerning the moderate Prandtl number fluid and (2) a series of analysis concerning the high Prandtl number fluid were conducted. In the code validation the critical Marangoni number and the fundamental frequency of the induced flow were in good agreement with those obtained by linear stability analysis. As for the analysis concerning the high Prandtl number fluid, the critical Marangoni number with and without considering the dynamic surface deformation was obtained. In addition, the phase differences among the surface deformation, the axis- and azimuthal-velocity, and the surface temperature variation were analyzed. It was found that the rotating oscillatory flow retained a lower fundamental frequency than the pulsating one, which was also indicated by the terrestrial experiments.
1345-7888
AN00364784
資料番号: AA0032601003
レポート番号: NASDA-TMR-010015E