Flow Classification and Its Application to Fluid Processing

Mathematically, the problem of flow field classification can be analyzed by the eigenanalysis of the deformation-rate tensor; however, such analysis technique have not been commonly applied in fluid processing. We derive a simplified objective flow classification scheme based on the invariants of th...

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Bibliographic Details
Published in:MATEC web of conferences 2021, Vol.333, p.2001
Main Authors: Nakayama, Yasuya, Kajiwara, Toshihisa
Format: Article
Language:English
Subjects:
Classification
Elongation
Mathematical analysis
Rotating fluids
Spatial distribution
Strain rate
Tensors
Vorticity
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Summary:Mathematically, the problem of flow field classification can be analyzed by the eigenanalysis of the deformation-rate tensor; however, such analysis technique have not been commonly applied in fluid processing. We derive a simplified objective flow classification scheme based on the invariants of the strain-rate tensor and the vorticity tensor. Multiaxiality of flow, which is related to the type of elongation, and converging/bifurcating flow, is characterized by the strain-rate tensor, while rotation contribution that protects fluid element from stretching is characterized by the relative intensity of an objective vorticity to the strain-rate. The spatial distributions of flow classification quantities offer an essential tool in understanding the flow pattern structure, and therefore can be useful to get insights into the connection between the geometry and the process performance.
ISSN:2261-236X
2274-7214
2261-236X
DOI:10.1051/matecconf/202133302001