Numerical Simulation of Three-Dimensional Oscillatory Thermocapillary Flow in a Half Zone of Pr=1 Fluid

Details Numerical Simulation of Three-Dimensional Oscillatory Thermocapillary Flow in a Half Zone of Pr=1 Fluid Numerical Simulation of Three-Dimensional Oscillatory Thermocapillary Flow in a Half Zone of Pr=1 Fluid

Jan 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999adspr..24.1385y&link_type=abstract

Advances in Space Research, Volume 24, Issue 10, p. 1385-1390.

Mathematics

Logic

Scientific paper

Three-dimensional (3-D) numerical simulations of oscillatory Marangoni convection were conducted for half-zone liquid bridges of Pr=1.02 fluid with different aspect ratios (0.75 - 1.60) and over a wide range of Marangoni number. The multi-morphological feature of the 3-D oscillatory flow was reproduced by the simulations: i.e., pulsating and rotating oscillatory flow with azimuthal wave number m=1-4. Growth rate constants β of 3-D disturbances were determined as functions of the Marangoni number. The critical Marangoni number Mac was determined by extrapolating β to zero. Thus determined critical Marangoni numbers show good agreement with those of linear stability analyses. A rough estimation predicts a correlation MaaMac ~ a2 for large liquid bridges, where a is the liquid bridge radius and Maa is some `apparent critical Marangoni number' at which the 3-D oscillatory flow can be detected experimentally within a constant observation time to. The equation also predicts an extremely long observation time for experimental determination of the true critical Marangoni number

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