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Slow migration of a gas bubble in a thermal gradient
Author(s) -
Subramanian R. S.
Publication year - 1981
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690270417
Subject(s) - marangoni effect , bubble , marangoni number , limiting , gas bubble , mechanics , temperature gradient , thermal , thermodynamics , chemistry , physics , convection , meteorology , engineering , mechanical engineering
The steady migration velocity of a gas bubble placed in a liquid with a linear temperature field in the absence of gravity is obtained for small Marangoni Numbers using a matched asymptotic expansion procedure for solving the governing equations. A result good to 0( N Ma 2 ) is obtained, and in the limiting case of zero Marangoni Number, the results of Young, Goldstein and Block are recovered.