ISSN:
0449-2951
Keywords:
Chemistry
;
Polymer and Materials Science
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Chemistry and Pharmacology
,
Physics
Notes:
On the basis of Jeffery's general relations, formulas for the rate of dissipation of energy due to the motion of a rigid rotational ellipsoid in a liquid, uniaxially drawn, were derived. By use of the previously found distribution function, intrinsic viscosity v, was calculated and effects of ellipsoid shape, velocity gradient, diffusion rate constant and time were discussed. The intrinsic viscosity monotonically increases with velocity gradient and with time t. This behavior is quite different from that observed in shear flow. It was stated that phenomena connected with a velocity field with parallel gradient (i.e., flow with uniaxial deformation): \documentclass{article}\pagestyle{empty}\begin{document}$ {\rm V}_{ij} = \left( {\begin{array}{*{20}c} q & 0 & 0 \\ 0 & {{\rm - }\sigma q} & 0 \\ 0 & 0 & {{\rm - }\sigma q} \\ \end{array}} \right) $\end{document} such as liquid jets, fiber spinning etc., cannot be explained in terms of experiments or theories concerning the shear flow (velocity field with perpendicular gradient): \documentclass{article}\pagestyle{empty}\begin{document}$ {\rm V}_{ij} = \left( {\begin{array}{*{20}c} 0 & q & 0 \\ q & 0 & 0 \\ 0 & 0 & 0 \\ \end{array}} \right) $\end{document} as obtained in viscosity measurements in common types of viscometers (capillary, rotational, falling body), or investigations of flow birefringence in coaxial apparatus.
Additional Material:
4 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/pol.1963.100010144
Permalink
