Continuum theory for fiber suspensions
Abstract
A continuum constitutive equation which is obtained for suspensions of rigid rodlike fibers in a viscous Newtonian medium, enabling simultaneous calculation of the kinematics, stress distribution, and fiber orientation distribution is discussed. A closure approximation to derive the equation has little effect in flows where an exact solution for the orientation distribution is obtained. A finite element procedure is developed for the solution of boundary value problems in complex geometries like those encountered in processing. A near singularity at solid boundaries where the kinematical no slip condition is satisfied is treated.
 Publication:

Presented at the 9th Intern. Congr. on Rheology
 Pub Date:
 May 1984
 Bibcode:
 1984rheo.cong.....L
 Keywords:

 Continuum Modeling;
 Fibers;
 Finite Element Method;
 Newtonian Fluids;
 Suspending (Mixing);
 Continuity Equation;
 Continuum Flow;
 Fluid Flow;
 Statistical Mechanics;
 Stress Distribution;
 Fluid Mechanics and Heat Transfer