TITLE

Viscosity of isotropic hard particle fluids

AUTHOR(S)
Allen, Michael P.; Camp, Philip J.; Mason, Carl P.; Evans, Glenn T.; Masters, Andrew J.
PUB. DATE
December 1996
SOURCE
Journal of Chemical Physics;12/22/1996, Vol. 105 Issue 24, p11175
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A kinetic theory for the frequency-dependent shear viscosity &neta;(ω) of isotropic fluids, composed of non-spherical hard convex bodies, is extended in two ways. First, the theory is reformulated to allow &neta;(ω) to be expressed directly in terms of matrix elements involving the shear stress tensor rather than in terms of the transverse momentum correlation function. Second, relaxation of the antisymmetric component of the stress, due to coupling with spin angular momentum, is explicitly incorporated; this corrects an error in a previous version of the theory. The revised kinetic theory is compared with computer simulations for hard ellipsoids of revolution of axial ratio 2, 3, 5 and 10. Both the symmetric and antisymmetric contributions to &neta;(ω) are well reproduced. Coupling with the collective molecular second-rank orientation tensor remains an important factor in determining the variation of &neta;(ω) from high to low frequencies; the prediction of the magnitude of the associated dip in &neta;(ω) is significantly improved. The new version of the theory is also more successful in predicting values of the zero-frequency shear viscosity h, the shear-orientation coupling parameter R, and the Stokes-Einstein (-Debye) products D[SUBs]&neta; and D[SUBr] &neta;.
ACCESSION #
9815243

 

Related Articles

  • Collision of a Solid with an Incompressible FluidTHANKSREF="*"ID="*"Third author was partially supported by Conicyt under grant Fondecyt 1010402 and by the research center CMM from Chile. Fr�mond, Michel; Gormaz, Ra�l; San Mart�n, Jorge Alonso // Theoretical & Computational Fluid Dynamics;Aug2003, Vol. 16 Issue 6, p405 

    We give a predictive theory of the collisions of a viscous incompressible fluid with solids. The theory is based on interior percussions which account for the very large stresses and contact forces resulting from the kinematic incompatibilities responsible for the collision. New equation of...

  • Hydrodynamic modeling of dilute and dense granular flow. Latz, Arnulf; Schmidt, Sebastian // Granular Matter;Jul2010, Vol. 12 Issue 4, p387 

    We study numerically a continuum model for granular flow, which covers the regime of fast dilute flow as well as slow dense flow up to vanishing velocity. The constitutive relations at small and intermediate densities are equivalent to those derived from kinetic theory of granular flow. The...

  • Numerical comparison of Bhatnagar–Gross–Krook models with proper Prandtl number. Mieussens, Luc; Struchtrup, Henning // Physics of Fluids;Aug2004, Vol. 16 Issue 8, p2797 

    While the standard Bhatnagar–Gross–Krook (BGK) model leads to the wrong Prandtl number, the BGK model with velocity dependent collision frequency as well as the ellipsoidal statistical BGK (ES-BGK) model can be adjusted to give its proper value of 2/3. In this paper, the BGK model...

  • Theory of Brownian motion in a Jeffreys fluid. Raikher, Yu.; Rusakov, V. // Journal of Experimental & Theoretical Physics;Nov2010, Vol. 111 Issue 5, p883 

    We have constructed a kinetic theory of Brownian motion in a rheologically complex medium-a Jeffreys fluid that is characterized by a combination of two viscosity mechanisms: ordinary and delayed. This model is shown to be much better suited for the interpretation of experiments on the...

  • A kinetic mechanism for the formation of aligned (Bi,Pb)2Sr 2Ca2Cu3O10 in a powder-in-tube processed tape. Wang, Y.-L.; Bian, W.; Zhu, Y.; Cai, Z.-X.; Welch, D. O.; Sabatini, R. L.; Suenaga, M.; Thurston, T. R. // Applied Physics Letters;7/22/1996, Vol. 69 Issue 4, p580 

    A two-step process is proposed for the formation of c-axis aligned (Bi,Pb)2Sr2Ca2Cu3O10+δ [Bi(2:2:2:3)] platelets in a silver sheath. The process involves: (1) the formation of c-axis aligned (Bi,Pb)2Sr2CaCu2O8+δ at early stage of heat treatment and (2) the subsequent intercalation of...

  • Kinetic effects on the velocity-shear-driven instability. Wang, Z.; Pritchett, P. L.; Ashour-Abdalla, M. // Physics of Fluids B: Plasma Physics;May92, Vol. 4 Issue 5, p1092 

    A comparison is made between the properties of the low-frequency, long-wavelength velocity-shear-driven instability in kinetic theory and magnetohydrodynamics (MHD). The results show that the removal of adiabaticity along the magnetic field line in kinetic theory leads to modifications in the...

  • Exact solutions for nonconservative two-velocity discrete Boltzmann models.  // Journal of Mathematical Physics;Apr98, Vol. 39 Issue 4, p2004 

    Focuses on the exact solutions for extended discrete kinetic theory. Influence of polynomials on the mass conservation law; Difference between conservative and nonconservative models for solutions; Discussion on the characteristics of the model; Association of nonconservative models with...

  • Shear viscosity of the Quark-Gluon Plasma in a Kinetic Theory approach. Puglisi, A.; Plumari, S.; Scardina, F.; Greco, V. // AIP Conference Proceedings;2014, Vol. 1595, p228 

    One of the main results of heavy ions collision (HIC) at relativistic energy experiments is the very small shear viscosity to entropy density ratio of the Quark-Gluon Plasma, close to the conjectured lower bound ?/s = 1/4Ï€ for systems in the infinite coupling limit. Transport coefficients...

  • Extended kinetic theory. Grmela, Miroslav; Jou, David // Journal of Mathematical Physics;Jun93, Vol. 34 Issue 6, p2290 

    The domain of applicability of one-point kinetic theory is enlarged by admitting two-point distribution functions or some of their moments as extra state variables. Kinetic equations governing the time evolution in the extended state space are introduced as particular realizations of the...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics