Skip to main content
SpringerLink
Log in

Flow-Induced Instabilities in Nematic Liquid Crystals

  • Chapter
Nematics

Part of the book series: NATO ASI Series ((ASIC,volume 332))

  • 267 Accesses

Abstract

This paper considers shear flow of thermotropic nematic liquid crystals, and discusses some recent work on the stability of both simple shear and plane Poiseuille flow.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ericksen, J.L. (1961) ‘Conservation laws for liquid crystals’, Trans. Soc. Rheol. 5, 23–34.

    Article  MathSciNet  Google Scholar 

  2. Leslie, E.M. (1968) ‘Some constitutive equations for liquid crystals’, Arch. Rat. Mech. Anal. 28, 265–283.

    Article  MathSciNet  MATH  Google Scholar 

  3. Atkin, R.J. (1970) ‘Poiseuille flow of liquid crystals of the nematic type’, Arch. Rat. Mech. Anal. 38, 224–240.

    Article  MathSciNet  MATH  Google Scholar 

  4. Fisher, J. and Fredrickson, A.J. (1969) ‘Interfacial effects on the viscosity of a nematic mesophase’, Mod. Cryst. Liq. Cryst. 8, 267–284.

    Article  Google Scholar 

  5. Jenkins, J.T. (1978) ‘Flows of nematic liquid crystals’, Ann. Rev. Fluid Mech. 10, 197–219.

    Article  ADS  Google Scholar 

  6. Leslie, F.M. (1979) ‘Theory of flow phenomena in liquid crystals’, Adv. Liq. Cryst. 4, 1–81.

    Google Scholar 

  7. Dubois-Violette, E., Guyon, E., Janossy, I., Pieranski, P. and Manneville, P. (1977) ‘Theory and experiments on plane shear flow instabilities in nematics’, J. Méchanique 16, 733–767.

    MathSciNet  Google Scholar 

  8. Dubois-Violette, E., Durand, G., Guyon, E., Manneville, P., and Pieranski, P. (1978) ‘Instabilities in nematic liquid crystals’, Solid State Physics Supplements 14, 147–208.

    Google Scholar 

  9. Parodi, O. (1970) ‘Stress tensor for a nematic liquid crystal’, J. Physique 31, 581–584.

    Article  Google Scholar 

  10. Leslie, F.M. (1983) ‘Some topics in continuum theory of nematics’, Phil. Trans. R. Soc. Lond. A 309, 155–165.

    Article  ADS  MATH  Google Scholar 

  11. Ericksen, J.L. (1960) ‘Transversely isotropic liquids’, Kolloid Zeitschrift 173, 117–122.

    Article  Google Scholar 

  12. Leslie, F.M. (1981) ‘Viscometry of nematic liquid crystals’, Mol. Cryst. Liq. Cryst. 63, 111–128.

    Article  Google Scholar 

  13. Currie, P.K. and MacSithigh, G.P. (1979) ‘The stability and dissipation of solutions for shearing flow of nematic liquid crystals’, Quart. J. Mech. Appl. Math. 32, 499–511.

    Article  MathSciNet  MATH  Google Scholar 

  14. Pieranski, P. and Guyon, E. (1973) ‘Shear-flow-induced transitions in nematics’, Solid State Comm. 13, 435–437.

    Article  ADS  Google Scholar 

  15. Currie, P.K. (1978) ‘Model equations for liquid crystal shear flow instability’, Iran. J. Sci. Technology 7, 71–77.

    Google Scholar 

  16. Zúñiga, I. and Leslie, F.M. (1989) ‘shear-flow instabilities in non-flow-aligning nematic liquid crystals’, Liq. Cryst. 5, 725–734.

    Article  Google Scholar 

  17. Zúñiga, I. and Leslie, F.M. (1989) ‘Orientational instabilities in Poiseuille flow of certain nematic liquid crystals’, J. Non-Newton. Fluid Mech. 33, 123–136.

    Article  Google Scholar 

  18. Carlsson, T. (1984) ‘Theoretical investigation of the shear flow of nematic liquid crystals with the Leslie viscosity α3 < 0: hydrodynamic analogue of first order phase transitions’, Mol. Cryst. Liq. Cryst. 104, 307–334.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Strathclyde, Livingstone Tower, Richmond Street, Glasgow, G1 1XH, Scotland

    F. M. Leslie

Authors
  1. F. M. Leslie
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Département de Mathématiques, Université Paris-Sud, Orsay, France

    Jean-Michel Coron

  2. Centre de Mathématiques et Leurs Applications, Ecole Normale Supérieure de Cachan, Cachan, France

    Jean-Michel Ghidaglia

  3. Groupe Hydrodynamique Navale ENSTA, Palaiseau, France

    Frédéric Hélein

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Leslie, F.M. (1991). Flow-Induced Instabilities in Nematic Liquid Crystals. In: Coron, JM., Ghidaglia, JM., Hélein, F. (eds) Nematics. NATO ASI Series, vol 332. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3428-6_17

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-3428-6_17

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5516-1

  • Online ISBN: 978-94-011-3428-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation