Inhomogeneous suspensions of rigid rods in flow

Share/Save/Bookmark

Dhont, Jan K.G. and Briels, W.J. (2003) Inhomogeneous suspensions of rigid rods in flow. Journal of Chemical Physics, 118 (3). pp. 1466-1478. ISSN 0021-9606

[img] PDF
Restricted to UT campus only
: Request a copy
167kB
Abstract: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 Navier–Stokes 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 N-particle 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 above-mentioned 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 shear-banding, and phase separation kinetics.
Item Type:Article
Copyright:© 2003 American Institute of Physics
Faculty:
Science and Technology (TNW)
Research Group:
Link to this item:http://purl.utwente.nl/publications/59936
Official URL:http://dx.doi.org/10.1063/1.1528912
Publisher URL:http://link.aip.org/link/?JCPSA6/118/1466/1
Export this item as:BibTeX
EndNote
HTML Citation
Reference Manager

 

Repository Staff Only: item control page

Metis ID: 213086