DOI: 10.1017/s0305004100032497. The rheology of some two-dimensional disperse systems

The rheology of some two-dimensional disperse systems

10.1017/s0305004100032497

Crossref journal-article

Cambridge University Press (CUP)

Mathematical Proceedings of the Cambridge Philosophical Society (56)

Abstract

ABSTRACTAn investigation is made of the deformation and flow properties of two-dimensional disperse systems consisting of small circular patches of one component widely dispersed in a continuous component with different rheological properties. Attention is restricted to small deformations (or small rates of deformation in the case of a fluid system) so that the equations of state are linear and the properties of each component can be characterized by two elastic moduli, or by two operators involving d/dt which take the place of moduli. Surface tension in each component and boundary tension between the components are taken into account, so that the theory can be applied to interfacial films at liquid-liquid or liquid-gas interfaces as well as to thicker sheets and films. General formulae are derived, expressing the two modulus operators of a disperse system in terms of those of the components, and their use is illustrated by means of examples.

Bibliography

Oldroyd, J. G. (1957). The rheology of some two-dimensional disperse systems. Mathematical Proceedings of the Cambridge Philosophical Society, 53(2), 514â524.

Authors 1

J. G. Oldroyd (first)

References 5 Referenced 7

{'key': 'S0305004100032497_ref005', 'volume-title': 'The physics and chemistry of surfaces', 'author': 'Adam', 'year': '1941'} / The physics and chemistry of surfaces by Adam (1941)
10.1098/rspa.1955.0240
{'key': 'S0305004100032497_ref004', 'first-page': '304', 'volume-title': 'Colloquium on the deformation and flow of solids', 'author': 'Oldroyd', 'year': '1956'} / Colloquium on the deformation and flow of solids by Oldroyd (1956)
10.1098/rspa.1953.0092
10.1002/andp.19063240204

Dates

Type	When
Created	16 years, 9 months ago (Nov. 7, 2008, 10:46 a.m.)
Deposited	6 years, 2 months ago (June 7, 2019, 12:50 a.m.)
Indexed	1 year, 11 months ago (Sept. 22, 2023, 3:12 a.m.)
Issued	68 years, 4 months ago (April 1, 1957)
Published	68 years, 4 months ago (April 1, 1957)
Published Online	16 years, 10 months ago (Oct. 24, 2008)
Published Print	68 years, 4 months ago (April 1, 1957)

Funders 0

None

BibTeX

@article{Oldroyd_1957, title={The rheology of some two-dimensional disperse systems}, volume={53}, ISSN={1469-8064}, url={http://dx.doi.org/10.1017/s0305004100032497}, DOI={10.1017/s0305004100032497}, number={2}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, publisher={Cambridge University Press (CUP)}, author={Oldroyd, J. G.}, year={1957}, month=apr, pages={514–524} }

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