Abstract
An analysis of particle orientation in a dilute suspension of rodlike particles in a second-order fluid was performed to examine the effects of the elasticity of the fluid and of weak Brownian diffusion of the particle on its orientation. Distributions of particle orientation under a simple shear flow with rate of shearg have been obtained as a function of a single nondimensional parameter,β * =β/r 2 e (D/g), which combines the effects of the particle aspect ratior e , the weak fluid elasticityβ, and the weak Brownian rotation diffusion coefficientD of the particle. In the limit of larger e , when the fluid elasticity is strong enough to overcome the rotational diffusion effect on the particle motion, most of the particles will orient close to the vorticity axis. A new shear-thinning mechanism of the shear viscosity of such systems is predicted by the theory.
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References
Bright PF, Crowson RJ, Folkes MJ (1978) J Mater Sci 13:2497; Bright PF, Darlington MW (1981) Plastic and Rubber Process and Appl 1:139
Xavier SF, Tyagi D, Misra A (1982) Polym Composites 3:88
Pipes RB, McCullough RL, Taggart DB (1982) Polym Composites 3:34
Sanou M (1983) Technical Report 41. Cornell Injection Molding Program, Ithaca, NY
Jeffery GB (1922) Proc Roy Soc A 102:161
Karnis A, Goldsmith HL, Mason SG (1966) Can J Chem Engin 44:81
Okagawa A, Cox RG, Mason SG (1979) J Coll Interf Sci 71:11
Anczurowski E, Cox RG, Mason SG (1967) J Coll Interf Sci 23:547
Okagawa A, Mason SG (1973) J Coll Interf Sci 45:330
Ivanov Y, van de Ven TGM (1982) J Rheology 26:231
Cerda CM, Foister RT, Mason SG (1981) J Phys Chem 85:1075
Okagawa A, Cox RG, Mason SG (1973) J Coll Interf Sci 45:303
Ivanov Y, van de Ven TGM, Mason SG (1982) J Rheology 26:213
Zuzovski M, Priel Z, Mason SG (1980) J Coll Interf Sci 75:230
Leal LG, Hinch EJ (1971) J Fluid Mech 46:685
Folger F, Tucker III CL (1984) J Reinf Plast Compos 3:98
Saffman PG (1956) J Fluid Mech 1:540
Karnis A, Mason SG (1966) Trans Soc Rheol 10:571
Gauthier F, Goldsmith HL, Mason SG (1971) Rheol Acta 10:344
Batram E, Goldsmith HL, Mason SG (1975) Rheol Acta 14:776
Leal LG (1975) J Fluid Mech 69:305
Brunn P (1977) J Fluid Mech 82:529
Batchelor GK (1970) J Fluid Mech 41:545
Goodwin JW (1982) Colloidal dispersions, Dorset Press, Dorchester
Bird RB, Armstrong RC, Hassager O (1977) Dynamics of polymeric liquids, vol 1, Fluid Mechanics, John Wiley & Sons, New York
Hinch EJ, Leal LG (1973) J Fluid Mech 57:753
Hinch EJ, Leal LG (1972) J Fluid Mech 52:683
Wang MC, Uhlenbeck GE (1945) Rev Modern Physics 17:323
Trimble RH, Deutch JM (1971) J Stat Physics 3:149
Volkov VS, Vinogradov GB (1984) J Non-Newtonian Fluid Mech 15:29
Kirkwood JG, Auer PL (1951) J Chem Phys 19:281
Saito N (1951) J Phys Soc (Japan) 6:297
Brenner H (1972) Prog Heat Mass Transfer 5:89
Giesekus H (1962) Rheol Acta 2:50
Kaloni PN, Stastna V (1983) Polym Engin and Sci 23:465
Jain S, Cohen C (1981) Macromolecules 14:759
Faitel'son LA, Kovtun VP (1975) Polymer Mech 11:276
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Cohen, C., Chung, B. & Stasiak, W. Orientation and rheology of rodlike particles with weak Brownian diffusion in a second-order fluid under simple shear flow. Rheol Acta 26, 217–232 (1987). https://doi.org/10.1007/BF01329437
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DOI: https://doi.org/10.1007/BF01329437