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The application of boundary‐layer theory to power‐law pseudoplastic fluids: Similar solutions
Author(s) -
Schowalter W. R.
Publication year - 1960
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.690060105
Subject(s) - shear thinning , power law fluid , boundary layer , mechanics , generalized newtonian fluid , newtonian fluid , herschel–bulkley fluid , non newtonian fluid , shear stress , viscosity , flow (mathematics) , boundary (topology) , blasius boundary layer , power law , boundary layer thickness , classical mechanics , physics , thermodynamics , mathematics , shear rate , mathematical analysis , statistics
Two‐ and three‐dimensional boundary‐layer equations have been developed for pseudoplastic non‐Newtonian fluids which can be characterized by a power‐law relationship between shear stress and velocity gradient. The types of potential flows necessary for similar solutions to the boundary‐layer equations have been determined. For two‐dimensional flow the results are similar to those obtained for Newtonian fluids. For three‐dimensional flow, however, the possibility of similar solutions depends on the nature of the expression which describes effective viscosity of the fluid. At most, similar solutions are possible only for the case of flow past a flat plate where the potential velocity vector is not perpendicular to the leading edge of the plate; this is a much more restrictive condition than is obtained for Newtonian fluids.