Viscometric functions for FENE and generalized Lennard-Jones dumbbell liquids in Couette flow: molecular dynamics study

We report new macro-rheological results extracted from non-equilibrium molecular dynamics (NEMD) simulations of Couette flow. We investigate atomic liquids for new state points, and in addition two types of dumbbell liquids: (1) finitely extensible nonlinear elastic (FENE) and (2) newly defined generalized Lennard-Jones (GLJ), up to a nondimensional shear rate of 15. The dumbbell liquids exhibit shear thinning, non-zero first and second normal stress differences, and volumetric dilatancy. These effects are weakly sensitive to details in shape of the intra-molecular potentials, and to the dominant frequency associated with vibrations of dumbbells. However, the Newtonian viscosity of dumbbell liquids strongly depends on the size of dumbbells. The onset of shear thinning of FENE and GLJ dumbbells is delayed to higher shear rates in comparison with atomic liquids. In general, for the entire investigated region, we see that dumbbells are slightly more elastic than atomic liquids.

[1]  L. Verlet Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules , 1967 .

[2]  William G. Hoover,et al.  Nonequilibrium molecular dynamics via Gauss's principle of least constraint , 1983 .

[3]  G. Grest,et al.  Dynamics of entangled linear polymer melts: A molecular‐dynamics simulation , 1990 .

[4]  B. Berne Modification of the overlap potential to mimic a linear site-site potential , 1981 .

[5]  Denis J. Evans,et al.  On the entropy of nonequilibrium states , 1989 .

[6]  D. Heyes,et al.  Transport coefficients of Lennard-Jones fluids: A molecular-dynamics and effective-hard-sphere treatment. , 1988, Physical Review B (Condensed Matter).

[7]  D. Heyes The nature of extreme shear thinning in simple liquids , 1986 .

[8]  M. Grmela Dependence of the Stress Tensor on the Intramolecular Viscosity , 1989 .

[9]  J. Dealy,et al.  Nonlinear viscoelasticity of concentrated polystyrene solutions : sliding plate rheometer studies , 1992 .

[10]  H. Hanley,et al.  Properties of a soft-sphere liquid from non-Newtonian molecular dynamics , 1989 .

[11]  Coupling between microscopic and macroscopic dynamics in NEMD. II , 1993 .

[12]  D. Heyes Shear flow by molecular dynamics , 1985 .

[13]  William G. Hoover,et al.  Nonequilibrium Molecular Dynamics , 1983 .

[14]  S. Hess Rheological properties via nonequilibrium molecular dynamics: From simple towards polymeric liquids , 1987 .

[15]  A. Ladd Equations of motion for non-equilibrium molecular dynamics simulations of viscous flow in molecular fluids , 1984 .

[16]  R. Larson Arrested Tumbling in Shearing Flows of Liquid Crystal Polymers , 1990 .

[17]  Miroslav Grmela,et al.  Conformation tensor rheological models , 1987 .

[18]  Peter T. Cummings,et al.  The contribution of internal degrees of freedom to the non-Newtonian rheology of model polymer fluids , 1991 .

[19]  R. Larson,et al.  Shear Flows of Liquid Crystal Polymers: Measurements of the Second Normal Stress Difference and the Doi Molecular Theory , 1991 .

[20]  G. Morriss,et al.  The rheology of n alkanes: Decane and eicosane , 1991 .

[21]  Comments on thermodynamic integration methods for the determination of nonequilibrium entropy , 1991 .

[22]  P. J. Dotson,et al.  Polymer solution rheology based on a finitely extensible bead—spring chain model , 1980 .

[23]  D. Heyes Shear thinning and thickening of the Lennard-Jones liquid. A molecular dynamics study , 1986 .

[24]  U. C. Klomp,et al.  Non-equilibrium molecular dynamics (NEMD) simulations and the rheological properties of liquid n-hexadecane , 1992 .

[25]  P. Carreau,et al.  Microscopic and mesoscopic results from non-equilibrium molecular dynamics modeling of FENE dumbbell liquids , 1993 .

[26]  J. Erpenbeck,et al.  Shear viscosity of the hard-sphere fluid via nonequilibrium molecular dynamics , 1984 .

[27]  S. Edwards,et al.  The computer study of transport processes under extreme conditions , 1972 .