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Creeping flow of power‐law fluid over newtonian fluid sphere
Author(s) -
Nakano Yoshisuke,
Tien Chi
Publication year - 1968
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.690140125
Subject(s) - power law fluid , drag , stokes flow , reynolds number , power law , non newtonian fluid , newtonian fluid , viscosity , drag coefficient , physics , flow (mathematics) , fluid dynamics , power index , mathematics , mechanics , thermodynamics , turbulence , statistics , mathematical economics
A technique which is a combination of Galerkin's method and variational principle was developed and used for the approximate solution of creeping flow of power‐law fluid over a Newtonian fluid sphere. The stream functions (both internal and external) and drag coefficient are expressed in terms of three parameters: the flow behavior index of the power law fluid, the external Reynolds number, and a viscosity ratio parameter \documentclass{article}\pagestyle{empty}\begin{document}$${\rm X} = \frac{{\mu ia^{n - 1} }}{{KV_{\alpha ^{n - 1} } }}$$\end{document} . Comparisons with existing experimental data are also given.