Pulsatile flow of discotic mesophases

Chemical Engineering Science

Volumn 60, Issue 23, 2005, Pages 6622-6636

  De Andrade Lima, L R P ^a   Rey, A D ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Discotic nematic liquid crystals; Leslie Ericksen theory; Non Newtonian fluid; Poiseuille flow; Pulsating flow

Indexed keywords

ANISOTROPY; BODY FLUIDS; FLOW OF FLUIDS; LIQUID CRYSTAL POLYMERS; NEMATIC LIQUID CRYSTALS; PRESSURE DROP; PULSATILE FLOW; SUSPENSIONS (FLUIDS);

DISCOTIC NEMATIC LIQUID CRYSTALS; LESLIE-ERICKSEN THEORY; NON-NEWTONIAN FLUIDS; POISEUILLE FLOW; PULSATING FLOW;

CAPILLARY FLOW;

NON-NEWTONIAN FLUID; POISEUILLE FLOW; PRESSURE DROP; PULSATILE FLOW; VISCOELASTIC FLUID;

EID: 27444442083     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2005.05.042     Document Type: Article

References (53)

1. Atkin, R.J., 1970. Poiseuille flow of liquid crystals of the nematic type. Archive for Rational Mechanics and Analysis 38, 225-240.
2. Baalss, D., Hess, S., 1988. The viscosity coefficients of oriented nematic and nematic discotic liquid crystals, affine transformation model. Zeitschrift fur Naturforschung Section A-A Journal of Physical Sciences 43a, 662-670.
3. Barnes, H.A.M., Townsend, P., Walters, K., 1969. Flow of non-Newtonial liquids under a varying pressure gradient. Nature 224, 585-587.
4. Barnes, H.A.M., Townsend, P., Walters, K., 1971. On pulsatile flow of non-Newtonian liquids. Rheological Acta 10, 517-527.
5. Bird, R.B., Armstrong, R.C., Hassager, O., 1989. Dynamics of Polymeric Liquids. Wiley, New York.
6. Brown, G.H., Wolken, J.J., 1979. Liquid Crystals and Biological Structures. Academic Press, New York.
7. Brown, A.B.D., Rennie, A.R., 2001. Imageas of shear-induced phase separation in a dispersion of hard nanoscale discs. Chemical Engineering Science 56, 2999-3004.
8. 2. Proposed flow behavior of disk like nematic liquid crystals. Molecular Crystals and Liquid Crystals 89, 57-66.
9. Carlsson, T., 1983. Remarks on the flow alignment of disk like nematics. Journal de Physique (Paris) 44, 909-911.
10. Chandrasekhar, F.R.S., 1992. Liquid Crystals, second ed. Cambridge University Press, Cambridge.
11. Davies, J.M., Bhumiratana, S., Byron Bird, R., 1978. Elastic and inertial effects in pulsatile flow of polymeric liquids in circular tubes. Journal of Non-Newtonian Fluid Mechanics 3, 237-259.
12. de Andrade Lima, L.R.P., Rey, A.D., 2003a. Poiseuille flow of Leslie-Ericksen discotic liquid crystals: solution multiplicity, multistability, and non-newtonian rheology. Journal of Non-Newtonian Fluid Mechanics 110 (2-3), 103-142.
13. de Andrade Lima, L.R.P., Rey, A.D., 2003b. Linear and nonlinear viscoelasticity of discotic nematics under transient Poiseuille flows. Journal of Rhelogy 47 (5), 1261-1282.
14. de Andrade Lima, L.R.P., Rey, A.D., 2004. Linear viscoelasticity of discotic mesophases. Chemical Engineering Science 59, 3891-3905.
15. de Gennes, P.G., Prost, J., 1993. The Physics of Liquid Crystals. second ed. Oxford University Press, London.
16. Edie, D.D., 2001. Carbon fiber processing and structure/property relations. In: Rand, B., Appleyard, S.P., Yardim, M.F. (Eds.), Design and Control of Structure of Advanced Carbon Materials for Enhanced Performance. Kluwer Academic Publishers, Netherlands, pp. 163-181.
17. Edwards, M.F., Wilkinson, W.L., 1971. Review of potential applications of pulsating flow in pipes. Transactions of the Institution of Chemical Engineers and the Chemical Engineer 49 (2), 85-94.
18. Edwards, M.F., Nellist, D.A., Wilkinson, W.L., 1972a. Unsteady laminar flows of non-Newtonian fluids in pipes. Chemical Engineering Science 27, 295-306.
19. Edwards, M.F., Nellist, D.A., Wilkinson, W.L., 1972b. Pulsating flow of non-Newtonian fluids in pipes. Chemical Engineering Science 27, 545-553.
20. Edwards, M.F., Nellist, D.A., Wilkinson, W.L., 1972c. Laminar pulsed flow of non-Newtonian fluids. Chemical Engineering Science 28 (2), 671-672.
21. Ericksen, J.L., 1961. Conservation laws for liquid crystals. Transactions of the Society of Rheology 5, 23-34.
22. Fisher, J., Frederikson, A.G., 1969. Interfacial effects on the viscosity of a nematic mesophase. Molecular Crystals and Liquid Crystals 8, 267-284.
23. Fletcher, C.A.J., 1996. Computational Techniques for Fluid Dynamics 1: Fundamental and General Techniques. Springer, New York.
24. Fung, Y.C., 1997. Biomechanics. second ed. Springer, New York.
25. Gianetto, A., Baldi, G., 1970. Flusso laminare pulsato di fluidi non new-toniano. Quaderni dell Ingegnere Chimico Italiano 6 (11), 186-197.
26. Gianetto, A., Baldi, G., Capra, V., 1973. Laminar pulsed flow of non-Newtonian fluids. Chemical Engineering Science 28, 670-671.
27. Grecov, D., Rey, A.D., 2003. Computational rheology for discotic nematic liquid crystals. Molecular Crystals Liquid Crystals 391, 57-94.
28. Hammad, K.J., Vradis, G.C., 1996. Viscous dissipation and heat transfer in pulsatile flows of a yield-stress fluid. International Communications in Heat and Mass Transfer 23 (5), 599-612.
29. Herrera-Velarde, J.R., Mena, B., 2000. A note on Newtonian and non-Newtonian oscillatory pipe flow. Revista Mexicana de Física 46 (6), 566-571.
30. Herrera-Velarde, J.R., Zenit, R., Mena, B., 2001. Viscous dissipation of a power law fluid in an oscillatory pipe flow. Revista Mexicana de Física 47 (4), 351-356.
31. Kajiuchi, T., Saito, A., 1984. Flow enhancement of laminar pulsating flow of Bingham plastic fluids. Journal of Chemical Engineering of Japan 17 (1), 34-38.
32. Khabakhpasheva, E., Popov, V.I., Kekalov, A.N., Mikhailova, E.S., 1989. Pulsating flow of viscoelastic fluids in tubes. Journal of Non-Newtonian Fluid Mechanics 33, 289-304.
33. Kini, U.D., Ranganath, G.S., 1975. The effect of an axial magnetic field on the Poiseuille flow of a nematic liquid crystal. Pramana 4 (1), 19-24.
34. Lacerda Santos, M.B., Galerne, Y., Durand, G., 1985. Orientational diffusivities in a disk-like lyotropic nematic phase: a strong backflow effect. Journal de Physique (Paris) 46 (6), 933-937.
35. Leslie, F.M., 1968. Some constitutive equations for liquid crystals. Archive for Rational Mechanics and Analysis 28, 265-283.
36. Leslie, F.M., 1979. Theory of flow phenomena in liquid crystals. Advances in Liquid Crystal 4, 1-81.
37. Li, J.K.-J., 2004. Dynamics of the Vascular System. World Scientific, Singapore.
38. Manero, O., Mena, B., 1980. On elastic effects in unsteady pipe flows. Rheological Acta 19, 277-284.
39. Nazem, F.F., 1980. Rheology of carbonaceous mesophase pitch. Fuel 59, 851-858.
40. Osipov, M.A., Hess, S., 1993. The elastic constants of nematic and nematic discotic liquid crystals with perfect local orientation order. Molecular Physics 78 (5), 1191-1201.
41. Phan-Thien, N., 1978. On pulsating flow of polymeric liquids in circular tubes. Journal of Non-Newtonian Fluid Mechanics 4, 167-176.
42. Phan-Thien, N., 1980. Flow enhancement mechanisms of a pulsating flow of non-Newtonian liquids. Rheological Acta 19, 285-290.
43. Phan-Thien, N., 1981. On a pulsating flow of polymeric fluids: strain-dependent memory kernels. Journal of Rheology 25 (3), 293-314.
44. Phan-Thien, N., Dudek, J., 1982a. Pulsating flow of a plastic fluid. Nature 296, 843-844.
45. Phan-Thien, N., Dudek, J., 1982b. Pulsating flow revisited. Journal of Non-Newtonian Fluid Mechanics 11, 147-161.
46. Rey, A.D., 2000. Theory of linear viscoelasticity of cholesteric liquid crystals. Journal of Rheology 44 (4), 855-869.
47. Rey, A.D., Denn, M.M., 2002. Dynamical phenomena in liquid-crystalline materials. Annual Reviews in Fluid Mechanics 34, 233-266.
48. Rutter, J.W., 2000. Geometry of Curves. Chapman & Hall, Boca Raton, FL.
49. Siginer, A., Valezuela-Rendón, A., 1993. Energy consideration in the flow enhancement of viscoelastic liquids. Transactions of the ASME - Journal of Applied Mechanics 60, 344-351.
50. Sollich, H., Baalss, D., Hess, S., 1989. Anisotropy of the viscosity of a nematic discotic liquid crystal via non-equilibrium molecular dynamics. Molecular Crystals and Liquid Crystals 168, 189-195.
51. Sundstrom, D.W., Kaufman, A., 1977. Pulsating flow of polymer solutions. Industrial & Engineering Chemistry Process Design and Development 16 (3), 320-325.
52. Tseng, H.C., Silver, D.L., Finlayson, B.A., 1972. Application of the continuum theory to nematic liquid crystals. Physics of Fluids 15 (7), 1213-1222.
53. Zamir, M., 2000. The Physics of Pulsatile Flow. Springer, New York.