This title appears in the Scientific Report :
2003
Please use the identifier:
http://dx.doi.org/10.1063/1.1528912 in citations.
Please use the identifier: http://hdl.handle.net/2128/1603 in citations.
Inhomogeneous suspensions of rigid rods in flow
Inhomogeneous suspensions of rigid rods in flow
An expression for the divergence of the stress tensor is derived for inhomogeneous suspensions of very long and thin, rigid rods. The stress tensor is expressed in terms of the suspension flow velocity and the probability density function for the position and orientation of a rod. The expression for...
Saved in:
Personal Name(s):  Dhont, J. K. G. 

Briels, W. J.  
Contributing Institute: 
Weiche Materie; IFFWM 
Published in:  The @journal of chemical physics, 118 (2003) S. 1466  1478 
Imprint: 
Melville, NY
American Institute of Physics
2003

Physical Description: 
1466  1478 
DOI: 
10.1063/1.1528912 
Document Type: 
Journal Article 
Research Program: 
Kondensierte Materie 
Series Title: 
Journal of Chemical Physics
118 
Subject (ZB):  
Link: 
Get full text OpenAccess 
Publikationsportal JuSER 
Please use the identifier: http://hdl.handle.net/2128/1603 in citations.
An expression for the divergence of the stress tensor is derived for inhomogeneous suspensions of very long and thin, rigid rods. The stress tensor is expressed in terms of the suspension flow velocity and the probability density function for the position and orientation of a rod. The expression for the stress tensor includes stresses arising from possibly very large spatial gradients in the shear rate, concentration, and orientational order parameter. The resulting NavierStokes equation couples to the equation of motion for the probability density function of the position and orientation of a rod. The equation of motion for this probability density function is derived from the Nparticle Smoluchowski equation, including contributions from inhomogeneities. It is argued that for very long and thin rods, hydrodynamic interactions are of minor importance, and are therefore neglected, both in the expression for the stress tensor and in the equation of motion for the abovementioned probability density function. The thus obtained complete set of equations of motion can be applied to describe phenomena where possibly very large spatial gradients occur, such as phase coexistence under shear flow conditions, including shearbanding, and phase separation kinetics. (C) 2003 American Institute of Physics. 