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Viscous incompressible non‐Newtonian flow around fluid sphere at intermediate Reynolds number
Author(s) -
Nakano Yoshisuke,
Tien Chi
Publication year - 1970
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.690160411
Subject(s) - reynolds number , drag , mechanics , newtonian fluid , herschel–bulkley fluid , compressibility , non newtonian fluid , generalized newtonian fluid , power law fluid , reynolds stress , physics , flow (mathematics) , mathematics , classical mechanics , viscosity , thermodynamics , turbulence , shear rate
Approximate expressions of velocity profile and drag coefficients have been obtained for viscous incompressible non‐Newtonian flow over a fluid sphere in the intermediate Reynolds number range. The equations of motion of both external and internal fluids are satisfied by using Galerkin's method. The internal fluid is assumed to be Newtonian, while the external is assumed to be non‐Newtonian and can be described by the power law model. Furthermore, the condition that the tangential stress is transmitted across the fluid‐fluid interface without diminution is also satisfied with Galerkin's condition. Comparisons are also made between the predicted results and the experimental data available in the literature. The possible reasons for the discrepancy are also discussed.