Abstract
We report preliminary results of simulations of the steady-state rheological behavior for semidilute polymer solutions of head-and-spring chain models in planar Couette now. The simulations include examination of the effects of excluded volume. hydrodynamic interactions and density. Hydrodynamic interactions are modeled by the Rotne -Prager Yamakawa tensor. The simulations are based on the nonequilibrium Brownian dynamics algorithm of Ermak and McCammon. In addition to the spring potential between neighboring beads in the chain. the interaction between any two beads in the solution is modeled using a shifted, repulsive Leonard-Jones potential. Lees Edward sliding brick boundary conditions are used for consistency with the Couette flow field.
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References
R. B. Bird, R. C. Armstrong, and O. Hassager.Dynamics of Polymeric Liquids: Fluid Mechanics, Vol. 1, 2nd ed. (Wiley, New York, 1987).
R. B. Bird, C. F. Curtiss, R. C. Armstrong, and O. Hassager.Dynamics of Polymeric Liquids: Kinetic Theory, Vol. 2, 2nd ed. (Wiley, New York, 1987).
J. W. Rudisill and P. T. Cummings,J. Non-Newt. Fluid Mech. 41:275 (1991).
J. W. Rudisill, S. W. Fetsko, and P. T. Cumings,Comp. Polym. Sci. 3:23 (1993).
S. W. Fetsko and P. T. Cummings, submitted for publication (1994).
B. H. A. A. van den Beule,J. Non-Newt. Fluid Mech. 47:357 (1993).
A. W. Lees and S. F. Edwards.J. Phys. C Solid State 5:1931 (1972).
W. Hess,Rheol. Acta 23:477 (1984).
R. C.-Y. Ng and L. G. Leal,Rheol. Acta 32:25 (1993).
W. W. Graessley,Adv. Polym. Sci. 16:1 (1974).
G. S. Grest and K. Kremer,Phys. Rev. A 33:3628 (1986).
K. Kremer, G. S. Grest, and I. Carmesin.Phys. Rev. Lett. 61:566 (1988).
I. Bitzanis and G. Hadziioannou.J. Chem. Phys. 92:3837 (1990).
J. W. Rudisill and P. T. Cummings,Rheol. Acta 30:33 (1991).
B. Z. Dlugogorski, I. Grmela, and P. I. Carreau,J. Non-Neat. Fl. Mech. 48:303 (1993).
B. Z. Dlugogorski, I. Grmela, and P. J. Carreau,J. Non-Newt. Fl. Mech. 49:23 (1993).
D. L. Ermak and J. A. McCammon,J. Chem. Phys. 69:1353 (1978).
F. G. Diaz, J. Garcia de la Torre, and J. J. Freire,Polymer 30:359 (1989).
H. A. Kramers,Physica 11:1 (1944).
A. Peterlin,Makromol. Chem. 44:338 (1961).
A. Peterlin,J. Chem. Phys. 33:1799 (1960).
A. J. Kishbaugh and A. J. McHugh,J. Non-Newt. Fluid Mech. 34:181 (1990).
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Fetsko, S.W., Cummings, P.T. Simulation of bead-and-spring chain models for semidilute polymer solutions in shear flow. Int J Thermophys 15, 1085–1091 (1994). https://doi.org/10.1007/BF01458817
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DOI: https://doi.org/10.1007/BF01458817