1,334 research outputs found
Direct numerical simulations for non-Newtonian rheology of concentrated particle dispersions
The non-Newtonian behavior of a monodisperse concentrated dispersion of
spherical particles was investigated using a direct numerical simulation
method, that takes into account hydrodynamic interactions and thermal
fluctuations accurately. Simulations were performed under steady shear flow
with periodic boundary conditions in the three directions. The apparent shear
viscosity of the dispersions was calculated at volume fractions ranging from
0.31 to 0.56. Shear-thinning behavior was clearly observed at high volume
fractions. The low- and high-limiting viscosities were then estimated from the
apparent viscosity by fitting these data into a semi-empirical formula.
Furthermore, the short-time motions were examined for Brownian particles
fluctuating in concentrated dispersions, for which the fluid inertia plays an
important role. The mean square displacement was monitored in the vorticity
direction at several different Peclet numbers and volume fractions so that the
particle diffusion coefficient is determined from the long-time behavior of the
mean square displacement. Finally, the relationship between the non-Newtonian
viscosity of the dispersions and the structural relaxation of the dispersed
Brownian particles is examined
A direct numerical simulation method for complex modulus of particle dispersions
We report an extension of the smoothed profile method (SPM)[Y. Nakayama, K.
Kim, and R. Yamamoto, Eur. Phys. J. E {\bf 26}, 361(2008)], a direct numerical
simulation method for calculating the complex modulus of the dispersion of
particles, in which we introduce a temporally oscillatory external force into
the system. The validity of the method was examined by evaluating the storage
and loss moduli of a system composed of identical
spherical particles dispersed in an incompressible Newtonian host fluid at
volume fractions of , 0.41, and 0.51. The moduli were evaluated at
several frequencies of shear flow; the shear flow used here has a zigzag
profile, as is consistent with the usual periodic boundary conditions
Lattice Model of Sweeping Interface for Drying Process in Water-Granule Mixture
Based on the invasion percolation model, a lattice model for the sweeping
interface dynamics is constructed to describe the pattern forming process by a
sweeping interface upon drying the water-granule mixture. The model is shown to
produce labyrinthine patterns similar to those found in the experiment[Yamazaki
and Mizuguchi, J. Phys. Soc. Jpn. \textbf{69} (2000) 2387]. Upon changing the
initial granular density, resulting patterns undergo the percolation
transition, but estimated critical exponents are different from those of the
conventional percolation. Loopless structure of clusters in the patterns
produced by the sweeping dynamics seems to influence the nature of the
transition.Comment: 6 pages, 7 figure
Do Killing-Yano tensors form a Lie Algebra?
Killing-Yano tensors are natural generalizations of Killing vectors. We
investigate whether Killing-Yano tensors form a graded Lie algebra with respect
to the Schouten-Nijenhuis bracket. We find that this proposition does not hold
in general, but that it does hold for constant curvature spacetimes. We also
show that Minkowski and (anti)-deSitter spacetimes have the maximal number of
Killing-Yano tensors of each rank and that the algebras of these tensors under
the SN bracket are relatively simple extensions of the Poincare and (A)dS
symmetry algebras.Comment: 17 page
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