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Stability of fiber spinning of power‐law fluids
Author(s) -
Shah Y. T.,
Pearson J. R. A.
Publication year - 1972
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760120311
Subject(s) - power law , spinning , materials science , reynolds number , extension (predicate logic) , thermodynamics , isothermal process , power law fluid , stability (learning theory) , mechanics , mathematics , physics , composite material , turbulence , statistics , computer science , programming language , machine learning
A stability analysis of fiber spinning of isothermal power‐law fluids has been carried out. The analysis for purely viscous fluids indicates that the critical extension ratio increases with an increase in power‐law constant q above 1. For q greater than approximately 1.5, very high values of critical extension ratio are obtained. A stability analysis in the presence of viscous and inertial forces indicates that for q > 1 critical extension ratio can be correlated to a quantity Rq = q − 1 + 3 Re , wherein Re is the Reynolds number. For the values of Rq greather than approximately 0.5, very high values of critical extension ratios are obtained.