Abstract
The micropolar model is certainly the best continuum-mechanical model to describe the collective behavior of molecules or rigid particles interacting via short-range forces and couples. We look at the necessary modifications of the original model for it to describe two unusual materials: nematic liquid crystals on the one hand and liquid-like granular materials on the other hand.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Similar content being viewed by others
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
References
Aero, E.L., Bulygin, A.N., Kuvshinskii, E.V.: Asymmetric hydromechanics. J. Appl. Math. Mech. 29, 333–346 (1965). PMM 29, 297–308 (1965)
Cowin, C.S.: Polar fluids. Phys. Fluids 11, 1919–1932 (1968)
de Gennes, P.G., Prost, J.: The Physics of Liquid Crystals, 2nd edn. Oxford University Press, Oxford (1993)
Drouot, R., Maugin, G.A.: Internal variables and the thermodynamics of macromolecule solutions. Int. J. Eng. Sci. 21, 705–724 (1983)
Eringen, A.C.: Theory of micropolar fluids. J. Math. Mech. 16, 1–18 (1966)
Eringen, A.C.: Micropolar theory of liquid crystals. In: Liquid Crystals and Ordered Fluids, vol. 3, pp. 443–473. Plenum, New York (1978)
Jop, P., Forterre, Y., Pouliquen, O.: A constitutive law for dense granular flows. Nature 441, 727–730 (2006)
Josserand, C., Lagrée, P.-Y., Lhuillier, D.: Stationary shear flows of dry granular materials: a tentative continuum modeling. Eur. Phys. J. 14, 127–135 (2004)
Kanatani, K.: A micropolar continuum theory for the flow of granular materials. Int. J. Eng. Sci. 17, 419–432 (1979)
Lee, J.D., Eringen, A.C.: Wave propagation in nematic liquid crystals. J. Chem. Phys. 54, 5027–5034 (1971)
Lhuillier, D.: The equations of motion of a one-velocity, one-temperature bubbly fluid (revisited). J. Phys. 46, 1325–1333 (1985)
Lhuillier, D.: Constitutive relations for steady flows of dense granular liquids. Physica A 383, 267–275 (2007)
Lhuillier, D., Rey, A.D.: Nematic liquid crystals and ordered micropolar fluids. J. Non-Newtonian Fluid Mech. 120, 169–174 (2004)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Lhuillier, D. (2010). Micropolar Fluids: From Nematic Liquid Crystals to Liquid-Like Granular Media. In: Maugin, G., Metrikine, A. (eds) Mechanics of Generalized Continua. Advances in Mechanics and Mathematics, vol 21. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5695-8_5
Download citation
DOI: https://doi.org/10.1007/978-1-4419-5695-8_5
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-5694-1
Online ISBN: 978-1-4419-5695-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)