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Approximate solutions of viscous incompressible flow around fluid spheres at intermediate reynoldc's numbers
Author(s) -
Nakano Yoshisuke,
Tien Chi
Publication year - 1967
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.5450450303
Subject(s) - spheres , compressibility , fluid dynamics , mechanics , viscous liquid , inertial frame of reference , herschel–bulkley fluid , flow (mathematics) , physics , stokes flow , classical mechanics , fluid parcel , circulation (fluid dynamics) , reynolds number , mathematics , turbulence , astronomy
Approximate solutions of viscous incompressible flow around fluid spheres were presented. Expressions for stream functions approximately satisfying equations of motion for both exterior and interior fluid were obtained using Galerkin's method with the inclusion of inertial terms for both equations. The retention of inertial terms of the interior fluid was found to have insignificant effect on the flow behavior of exterior fluid. However, the circulation velocity within the fluid sphere was found to increase with the increase of the internal Reynold's number, which may be of importance to the study of mass transfer within fluid spheres.