The hydrodynamics of non-Newtonian Fluids - III. The normal stress effect in high-polymer solutions

Normal stress effects arising in the torsional motion of a cylindrical mass of poly iso butylene solution are measured. The precautions which must be taken in making the measurements and the corrections which must be applied to them in order that the results may be compared with theory are discussed in some detail. The distribution of normal stresses over the plane ends of the cylindrical mass and the dependence of this on the experimental conditions is shown to be consistent with the phenomenological theory advanced by Rivlin (1948 a ). From the normal stress measurements, the normal stress coefficient, defined in this theory, is evaluated and the manner in which it depends on velocity gradient is found. Finally, the dependence of the normal stress coefficient on solution concentration and temperature is investigated.

1968 ◽  
Vol 6 (12) ◽  
pp. 1999-2007 ◽  
Author(s):  
Kunisuke Sakamoto ◽  
Nobuhiro Ishida ◽  
Yoshiaki Fukasawa

1968 ◽  
Vol 7 (5) ◽  
pp. 447-450 ◽  
Author(s):  
Mikio Tamura ◽  
Michio Kurata ◽  
Kunihiro Osaki ◽  
Kanji Kajiwara

1985 ◽  
Vol 31 (108) ◽  
pp. 120-126 ◽  
Author(s):  
David F. McTigue ◽  
Stephen L. Passman ◽  
Stephen J. Jones

AbstractMost non-linear fluids for which the appropriate measurements have been made exhibit non-zero and unequal normal stress differences in shearing flows. Power-law models such as Glen’s law cannot represent this phenomenon. The simplest constitutive equation that does embody normal stress effects defines the second-order fluid. An exact analytical solution for biaxial creep of such a fluid is fit to data from four tests on polycrystalline ice. The model gives an excellent representation of both primary and secondary creep. The fits provide values for the three material constants. These coefficients indicate positive first and second normal stress differences. One consequence is the prediction that a steady open-channel flow will exhibit a longitudinal free-surface depression of up to several meters for sufficiently thick ice on steep slopes. In addition, the compressive principal stress at the channel margin is decreased and the tensile principal stress is increased in magnitude over those predicted by models without normal stresses. The normal stresses thus favor the formation of crevasses. Furthermore, the angle these crevasses form with the channel margin is decreased.


1973 ◽  
Vol 22 (236) ◽  
pp. 410-413
Author(s):  
Kaoru UMEYA ◽  
Takashi KANNO ◽  
Eietsu TOYOOKA

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