DOI: 10.1017/s0022112062000476. A theory of anisotropic fluids

10.1017/s0022112062000476

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

A theory is proposed in which the stress tensor is a function of the components of the rate of deformation tensor and a symmetric tensor describing the microscopic structure of a fluid. The expression for the stress tensor can be written in closed form using results from the Hamilton-Cayley theorem. This theory is shown to contain Prager's theory of dumbbell suspensions as a special case. By limiting the type of terms in the constitutive equations, various stress components can be evaluated for simple shear. These exhibit non-Newtonian behaviour typical of certain higher polymer solutions.Some of the results of the anisotropic fluid theory are compared with experimental measurements of normal stress and apparent viscosity. Certain high polymers in solution show good agreement between theory and experiment, at least for low enough values of the rate of shear.

Bibliography

Hand, G. L. (1962). A theory of anisotropic fluids. Journal of Fluid Mechanics, 13(1), 33â46.

Authors 1

George L. Hand (first)

References 10 Referenced 281

Dates

Type	When
Created	19 years, 5 months ago (March 28, 2006, 6:01 a.m.)
Deposited	6 years, 4 months ago (April 8, 2019, 2:55 p.m.)
Indexed	1 month, 1 week ago (July 24, 2025, 6:58 a.m.)
Issued	63 years, 4 months ago (May 1, 1962)
Published	63 years, 4 months ago (May 1, 1962)
Published Online	19 years, 5 months ago (March 28, 2006)
Published Print	63 years, 4 months ago (May 1, 1962)

Funders 0

None

BibTeX

@article{Hand_1962, title={A theory of anisotropic fluids}, volume={13}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s0022112062000476}, DOI={10.1017/s0022112062000476}, number={1}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Hand, George L.}, year={1962}, month=may, pages={33–46} }

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