Abstract
The flow of anisotropic liquid crystals in functionalized microchannels is uniquely distinct from its isotropic counterpart. The gamut of interesting phenomena presented in this chapter can be generalized as the effects of the surface-induced ordering on the flow behaviour, and the effects of flow on the surface-induced ordering of the LC phase. In this chapter, we shall see how microfluidics of anisotropic liquid crystals provide functional features that are typically not achievable in flows of isotropic fluids.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
G.M. Whitesides, Nature 442, 368 (2006)
D.R. Meldrum, M.R. Holl, Science 297, 1197 (2002)
J. GlĂĽckstad, Nat. Mater. 3, 9 (2004)
A.B. Subramaniam, M. Abkarian, H.A. Stone, Nat. Mater. 4, 553 (2005)
A. Terray, J. Oakey, D.W.M. Marl, Science 296, 1841 (2002)
H. Bruus, Theoretical Microfluidics (Oxford University Press, Oxford, 2008)
A. Groisman, V. Steinberg, Nature 405, 53 (2000)
A.D. Stroock, S.K.W. Dertinger, A. Ajdari, I. Mezic, H.A. Stone, G.M. Whitesides, Science 295, 647 (2002)
R. Seemann, M. Brinkmann, T. Pfohl, S. Herminghaus, Rep. Prog. Phys. 75, 016601 (2011)
J.C. Baret, O.J. Miller, V. Taly, M. Ryckelynck, A. El-Harrak, L. Frenz, C. Rick, M.L. Samuels, J.B. Hutchison, J.J. Agresti, D.R. Link, D.A. Weitz, A.D. Griffiths, Lab Chip 9, 1850 (2009)
S.E. Chung, W. Park, S. Shin, S.A. Lee, S. Kwon, Nat. Mater. 7, 587 (2008)
P. Abbyad, R. Dangla, A. Alexandrou, C.N. Baroud, Lab Chip 11, 813 (2011)
M. Miesowicz, Nature 158, 27 (1946)
F.M. Leslie, Q. J. Mech. Appl. Math. 19, 357 (1966)
F.M. Leslie, Ration. Mech. Anal. 28, 265 (1968)
P. Pieranski, E. Guyon, Phys. Lett. 49A, 237 (1974)
H. Stark, Phys. Rep. 351, 387 (2001)
G. Toth, C. Denniston, J.M. Yeomans, Phys. Rev. Lett. 88, 105504 (2002)
A. Sengupta, U. Tkalec, Ch. Bahr, Soft Matter 7, 6542 (2011)
A. Sengupta, S. Herminghaus, Ch. Bahr, Appl. Phys. Lett. 101, 164101 (2012)
A. Sengupta, U. Tkalec, M. Ravnik, J.M. Yeomans, Ch. Bahr, S. Herminghaus, Phys. Rev. Lett. 110, 048303 (2013)
A. Sengupta, C. Pieper, J. Enderlein, Ch. Bahr, S. Herminghaus, Soft Matter 9, 1937 (2013)
The Landolt-Börnstein Database, Springer Materials VIII/5A, doi:10.1007/10694796-63 (2003)
R.G. Larson, The Structure and Rheology of Complex Fluids (Oxford University Press Inc., New York, 1999)
P. Oswald, P. Pieranski, Nematic and Cholesteric Liquid Crystals: Concepts and Physical Properties Illustrated by Experiments. (Taylor & Francis, Boca Raton, 2005), chapter B. III
A.A. Sonin, A. Yethiraj, J. Bechhoefer, B.J. Frisken, Phys. Rev. E 52, 6260 (1995)
Ch. Gähwiller, Phys. Rev. Lett. 28, 1554 (1972)
W. Helfrich, J. Chem. Phys. 50, 100 (1969)
W. Helfrich, J. Chem. Phys. 56, 3187 (1972)
J. Frenkel, Kinetic Theory of Liquids (Dover, New York, 1955)
K. Negita, J. Chem. Phys. 105, 17 (1996)
G. Toulouse, M. Kleman, J. Phys. Lett. 37, L149 (1976)
V.P. Mineyev, G.E. Volovik, Phys. Rev. B: Solid State 18, 3197 (1978)
O.D. Lavrentovich, S.S. Rozhkov, Pis’ma. Zh. Eksp. Teor. Fiz. 47, 210 (1988)
S. Chandrasekhar, Liquid Crystals (Cambridge University Press, Cambridge, 1992)
P.G. de Gennes, J. Prost, The Physics of Liquid Crystals (Oxford University Press, Oxford, 1995)
D.R. Link, M. Nakata, Y. Takanishi, K. Ishikawa, H. Takezoe, Phys. Rev. Lett. 87, 195507 (2001)
S. Zhang, E.M. Terentjev, A.M. Donald, J. Phys. Chem. B 109, 13195 (2005)
P.M. Chaikin, T.C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, 2003)
A.B. Nych, D.Y. Reznikov, O.P. Boiko, V.G. Nazarenko, V.M. Pergamenshchik, P. Bos, Eur. Phys. Lett. 81, 16001 (2008)
T.M. Squires, S.R. Quake, Rev. Mod. Phys. 77, 977 (2005)
D. Psaltis, S.R. Quake, C. Yang, Nature 442, 381 (2006)
J. Leach, H. Mushfique, R. di Leonardo, M. Padgett, J. Cooper, Lab Chip 6, 735 (2006)
T. Pfohl, F. Mugele, R. Seemann, S. Herminghaus, Chem. Phys. Chem. 4, 1291 (2003)
P. Nghe, E. Terriac, M. Schneider, Z.Z. Li, M. Cloitre, B. Abecassis, P. Tabeling, Lab Chip 11, 788 (2011)
M.C. Choi, T. Pfohl, Z. Wen, Y. Li, M.W. Kim, J.N. Israelachvili, C.R. Safinya, Proc. Natl. Acad. Sci. U.S.A. 101, 17340 (2004)
S. Shojaei-Zadeh, S.L. Anna, Langmuir 22, 9986 (2006)
B.D. Hamlington, B. Steinhaus, J.J. Feng, D. Link, M.J. Shelly, A.Q. Shen, Liq. Cryst. 34, 861 (2007)
J. Feng, L.G. Leal, Phys. Fluids 11, 28121 (1999)
C. Denniston, E. Orlandini, J.M. Yeomans, Comput. Theor. Polym. Sci. 11, 389 (2001)
C. Denniston, D. Marenduzzo, E. Orlandini, J.M. Yeomans, Phil. Trans. R. Soc. Lond. A 362, 1745 (2004)
J. Quintas Carou, B.R. Duffy, N.J. Mottram, L.G. Leal, Phys. Fluids 18, 027105 (2006)
J.P. Hernandez-Ortiz, B.T. Gettelfinger, J. Moreno-Razo, J.J. de Pablo, J. Chem. Phys. 134, 134905 (2011)
L. Giomi, L. Mahadevan, B. Chakraborty, M.F. Hagan, Phys. Rev. Lett. 106, 218101 (2011)
L. Giomi, M.C. Marchetti, Soft Matter 8, 129 (2012)
P. Poulin, H. Stark, T.C. Lubensky, D.A. Weitz, Science 275, 1770 (1997)
I. Muševič, M. Škarabot, U. Tkalec, M. Ravnik, S. Žumer, Science 313, 954 (2006)
T. Araki, M. Buscaglia, T. Bellini, H. Tanaka, Nat. Mater. 10, 303 (2011)
C. Blanc, D. Svenšek, S. Žumer, M. Nobili, Phys. Rev. Lett. 95, 097802 (2005)
O.D. Lavrentovich, I. Lazo, O.P. Pishnyak, Nature 467, 947 (2010)
O.P. Pishnyak, S.V. Shiyanovskii, O.D. Lavrentovich, Phys. Rev. Lett. 106, 047801 (2011)
J.S. Lintuvuori, K. Stratford, M.E. Cates, D. Marenduzzo, Phys. Rev. Lett. 105, 178302 (2010)
S.A. Jewell, S.L. Cornford, F. Yang, P.S. Cann, J.R. Sambles, Phys. Rev. E 80, 041706 (2009)
C.J. Holmes, S.L. Cornford, J.R. Sambles, Appl. Phys. Lett. 95, 171114 (2009)
C.J. Holmes, S.L. Cornford, J.R. Sambles, Phys. Rev. Lett. 104, 248301 (2010)
Y.-J. Na, T.-Y. Yoon, S. Park, B. Lee, S-D Lee, Chem. Phys. Chem. 11, 101 (2010)
J.G. Cuennet, A.E. Vasdekis, L. De Sio, D. Psaltis, Nat. Phot. 5, 234 (2011)
R. Ondris-Crawford, E.P. Boyko, B.G. Wagner, J.H. Erdmann, S. Žumer, J.W. Doane, J. Appl. Phys. 69, 6380 (1991)
Z. Guo, C. Zheng, B. Shi, Phys. Rev. E 65, 046308 (2002)
J.L. Ericksen, Arch. Ration. Mech. Anal. 4, 231 (1960)
O.J. Parodi, J. Phys. (Paris) 31, 581 (1970)
K. Skarp, S.T. Lagerwall, B. Stebler, Mol. Cryst. Liq. Cryst. 60, 215 (1980)
A.G. Chmielewski, Mol. Cryst. Liq. Cryst. 132, 339 (1986)
M. Kléman, Points, Lines and Walls. In: Liquid Crystals, Magnetic systems and Various Ordered Media (Wiley-Interscience, New York, 1983)
H. Heuer, H. Kneppe, F. Schneider, Mol. Cryst. Liq. Cryst. 214, 43 (1992)
S. Chono, T. Tsuji, Mol. Cryst. Liq. Cryst. 309, 217 (1998)
T. Araki, H. Tanaka, J. Phys. Condens. Matter 18, 193 (2006)
T. Araki, private communication
H. Stark, D. Ventzki, Phys. Rev. E 64, 031711 (2001)
M. Yoneya, J. Fukuda, H. Yokoyama, H. Stark, Mol. Cryst. Liq. Cryst. 435, 75 (2005)
C. Zhou, P. Yue, J.J. Feng, J. Fluid Mech. 593, 385 (2007)
S. Khullar, C. Zhou, J.J. Feng, Phys. Rev. Lett. 99, 237802 (2007)
T.J. Arbour, J. Enderlein, Lab Chip 10, 1286 (2010)
P. Manneville, E. Dubois-Violette, J. Phys. (France) 37, 1115 (1976)
I. Jánossy, P. Pieranski, E. Guyon, J. Phys. (France) 37, 1105 (1976)
A.S. Utada, A. Fernandez-Nieves, H.A. Stone, D.A. Weitz, Phys. Rev. Lett. 99, 094502 (2007)
A. Rapini, L. Léger, A. Martinet, J. Phys. Colloques 36, C1–189 (1975)
R. Turner, Phil. Mag. 30, 13 (1974)
P.E. Cladis, W. van Saarloos, P.L. Finn, A.R. Kortan, Phys. Rev. Lett. 58, 222 (1987)
G. Ryskin, M. Kremenetsky, Phys. Rev. Lett. 67, 1574 (1991)
H. Imura, K. Okano, Phys. Lett. A 42, 403 (1973)
J. Ignés-Mullol, J. Baudry, P. Oswald, Phys. Rev. E 63, 031701 (2001)
O. Yaroshchuk, Y. Reznikov, J. Mater. Chem. 22, 286 (2012)
J.-H. Kim, M. Yoneya, H. Yokoyama, Nature 420, 159 (2002)
P. Pieranski, E. Guyon, Solid State Comm. 13, 435 (1973)
P. Pieranski, E. Guyon, Phys. Lett. 49A, 237 (1974a)
A. Sengupta, B. Schulz, E. Ouskova, Ch. Bahr, Microfluid. Nanofluid. 13, 941 (2012)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2013 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Sengupta, A. (2013). Flow of Nematic Liquid Crystals in a Microfluidic Environment. In: Topological Microfluidics. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-00858-5_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-00858-5_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-00857-8
Online ISBN: 978-3-319-00858-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)