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Characterization of Bubble Shapes in Non‐Newtonian Fluids by Parametric Equations
Author(s) -
Xu Feishi,
Midoux Noel,
Li Huai-Zhi,
Hébrard Gilles,
Dietrich Nicolas
Publication year - 2019
Publication title -
chemical engineering and technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.403
H-Index - 81
eISSN - 1521-4125
pISSN - 0930-7516
DOI - 10.1002/ceat.201800690
Subject(s) - bubble , dimensionless quantity , reynolds number , mechanics , rheology , characterization (materials science) , newtonian fluid , parametric statistics , non newtonian fluid , ellipsoid , range (aeronautics) , aspect ratio (aeronautics) , physics , classical mechanics , materials science , mathematics , thermodynamics , optics , composite material , statistics , astronomy , turbulence , optoelectronics
Based on experiments with single air bubbles rising in stagnant non‐Newtonian fluids, an innovative model containing the aspect ratio ( E ) and two parameters ( α, β ) was proposed and proved to be capable of characterizing the bubble shape from spherical/ellipsoidal to prolate/oblate‐tear with good accuracy. Several impacts on bubble deformation were investigated, involving the rheological properties of the fluids and different forces exerted on the bubble, which were quantified by multiple dimensionless numbers (e.g., Reynolds, Eötvös, and Deborah number). Within a wide range, the empirical correlations were obtained for parameter β , and between α and β . Together with the shape model, a complete system was set up for bubble shape characterization and prediction that will provide new ideas for future studies on bubble hydrodynamics.