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Examination of a master curve method of characterizing steady‐state flow of polymers
Author(s) -
Nakajima Nobuyuki
Publication year - 1970
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1970.070141020
Subject(s) - superposition principle , curve fitting , flow (mathematics) , range (aeronautics) , interpretation (philosophy) , steady state (chemistry) , shear flow , mechanics , thermodynamics , materials science , mathematics , physics , computer science , chemistry , mathematical analysis , statistics , composite material , programming language
Master curve methods or superposition techniques are rather widely used for characterizing the steady‐state flow behavior of polymers. One method, developed by Sabia, 1 is examined with respect to its applicability and limitations. In the original development of the method, it was assumed that a universal curve (master curve) exists. Based on this, a theoretical explanation was presented for the sample parameters. Such explanation became dubious because experimental evidence was found later to nullify the master curve assumption. 2,3 In this paper, Sabia's method is treated as a curve‐fitting procedure to represent observed data. In order to do so, the shear rates of observation must be limited to two or two and a half decades. Also, the range of shear rates are defined from 1 to 1000 sec. −1 The results of curve fitting and molecular interpretation of the parameters are presented.