Flow modelling and rheological characterization of nematic liquid crystals between concentric cylinders

References

• Biresaw , G , ed. 1990 . Tribology and the liquid-crystalline state , Washington , DC : American Chemical Society .
   Google Scholar
• Amann , T and Kailer , A. 2010 . Ultralow friction of mesogenic fluid mixtures in tribological reciprocating systems . Tribol Lett. , 37 : 343 – 352 .
   Web of Science ®Google Scholar
• Shen , M , Luo , J , Wen , S and Yao , J. 2001 . Nano-tribological properties and mechanisms of the liquid crystal as an additive . Chin Sci Bull. , 46 : 1227 – 1232 .
   Web of Science ®Google Scholar
• Vekteris , V , Mokshin , V and Buchinskas , V. 2004 . “ Influence of liquid crystals to friction characteristics of mineral lubricants ” . In 12th IFToMM, Besançon , 2320 – 2323 . China Machine Press .
   Google Scholar
• Nakano , K. 2003 . Scaling law on molecular orientation and effective viscosity of liquid-crystalline boundary films . Tribol Lett. , 14 ( 1 ) : 17 – 24 .
   Web of Science ®Google Scholar
• Ericksen , JL. 1961 . Conservation laws for liquid crystals . J Rheol. , 5 : 23 – 34 .
   Web of Science ®Google Scholar
• Leslie , FM. 1966 . Some constitutive equations for anisotropic fluids . Q J Mech Appl Math. , 19 ( 3 ) : 357 – 370 .
   Web of Science ®Google Scholar
• Atkin , RJ and Leslie , FM. 1970 . Couette flow of nematic liquid crystals . Q J Mech Appl Math. , 23 ( 2 ) : 3 – 24 .
   Google Scholar
• Rey , AD. 1991 . Orientational transition in radial flow of a nematic liquid . J Non-Newtonian Fluid Mech. , 40 ( 2 ) : 177 – 200 .
   Web of Science ®Google Scholar
• Van Horn , BL and Winter , HH. 2000 . Dynamics of shear aligning of nematic liquid crystal monodomains . Rheol Acta. , 39 : 294 – 300 .
   Web of Science ®Google Scholar
• Ben Amar , M and Cummings , LJ. 2001 . Fingering instabilities in driven thin nematic films . Phys Fluids. , 13 : 1160 – 1166 .
   Web of Science ®Google Scholar
• dA , Lima and Rey , AD. 2003 . Poiseuille flow of Leslie-Ericksen discotic liquid crystals: solution multiplicity, multistability, and non-Newtonian rheology . J Non-Newtonian Fluid Mech. , 110 ( 2–3 ) : 103 – 142 .
   Web of Science ®Google Scholar
• Feng , JJ and Leal , LG. 1997 . Simulating complex flows of liquid-crystalline polymers using the Doi theory . J Rheol. , 41 ( 6 ) : 1317 – 1335 .
   Web of Science ®Google Scholar
• Belyaev , VV. 2001 . Physical methods for measuring the viscosity coefficients of nematic liquid crystals . Phys Usp. , 44 ( 3 ) : 255 – 267 .
   Google Scholar
• Chandrasekhar , S. and Crystals , Liquid . 1992 . , 2nd , Cambridge , , UK : Cambridge University Press .
   Google Scholar
• Press , WH. 1992 . “ Numerical recipes in FORTRAN: the art of scientific computing ” . In , 2nd , Cambridge , , UK : Cambridge University Press .
   Google Scholar
• Dunmur , D , Fukuda , A and Luckhurst , G. 2001 . Physical properties of liquid crystals: nematics , London : INSPEC, The Institution of Electrical Engineers .
   Google Scholar
• Srivastava , A and Singh , S. 2004 . Elastic constants of nematic liquid crystals of uniaxial symmetry . J Phys Condens Matter. , 16 ( 41 ) : 7169 – 7182 .
   Web of Science ®Google Scholar