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Direct simulation of the buoyant rise of bubbles in infinite liquid using level set method
Author(s) -
Yu Zhao,
Fan LiangShih
Publication year - 2008
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.20048
Subject(s) - bubble , buoyancy , ellipsoid , coalescence (physics) , mechanics , level set method , range (aeronautics) , mathematics , physics , materials science , statistical physics , computer science , composite material , segmentation , artificial intelligence , astrobiology , image segmentation , astronomy
Abstract In this study, 3‐D level set method is applied to investigate the rise of gas bubbles in infinite liquid domain due to the buoyancy force. A number of typical regimes for single bubble rising are studied, including the ellipsoidal, ellipsoidal cap, spherical cap, and skirted bubbles. The bubble shape and rise velocity predicted by the simulation are compared with the graphical correlations of Grace, Trans. Inst. Chem. Eng., 51 , 116–120, (1973) and Bhaga and Weber, J. Fluid Mech., 105 , 61–85, (1981). Good agreement is found between the simulation results and the correlations. These simulations cover a wide range of the parameters, including Eo , Mo , and Re , and demonstrate the capability and accuracy of level set method for simulation of bubbles under various conditions with considerable deformation. Finally, simulation results for the coalescence of two bubbles are also presented.