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Constitutive equations in suspension mechanics. Part 2. Approximate forms for a suspension of rigid particles affected by Brownian rotations
Abstract
Approximate constitutive equations are derived for a dilute suspension of rigid spheroidal particles with Brownian rotations, and the behaviour of the approximations is explored in various flows. Following the suggestion made in the general formulation in part 1, the approximations take the form of Hand's (1962) fluid model, in which the anisotropic microstructure is described by a single second-order tensor. Limiting forms of the exact constitutive equations are derived for weak flows and for a class of strong flows. In both limits the microstructure is shown to be entirely described by a second-order tensor. The proposed approximations are simple interpolations between the limiting forms of the exact equations. Predictions from the exact and approximate constitutive equations are compared for a variety of flows, including some which are not in the class of strong flows analysed.
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Cited by
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McLeish, T. C. B., & Larson, R. G. (1998) · Journal of Rheology · doi:10.1122/1.550933 · Cited by 784
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Rafaï, S., Jibuti, L., & Peyla, P. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.098102 · Cited by 323
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KROGER, M. (2004) · Physics Reports · doi:10.1016/j.physrep.2003.10.014 · Cited by 302
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Metadata
- Authors
- Hinch, E. J., & Leal, L. G.
- Venue
- Journal of Fluid Mechanics
- Publisher
- Cambridge University Press (CUP)
- Published
- 1976-07-14
- Volume
- 76
- Issue
- 1
- Pages
- 187-208
- ISSN
- 0022-1120 (ISSN-L)
- 1469-7645
- OpenAlex
- W2091742598
- Cited by
- 382
- References
- 0
- FWCI
- 2.31
- Type
- journal article
- Language
- en
- Open access
- closed
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- Hinch, E. J., & Leal, L. G. (1976). Constitutive equations in suspension mechanics. Part 2. Approximate forms for a suspension of rigid particles affected by Brownian rotations. Journal of Fluid Mechanics. https://doi.org/10.1017/s0022112076003200
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