A Perturbation Solution for Rigid Dumbbell Suspensions in Steady Shear Flow.
Abstract
The rigid dumbbell in a Newtonian solvent under hydrodynamic and Brownian forces is a simple model of solutions of rigid macromolecules with both theoretical and pedagogical applications 1,2. In this note, we show that expansion solutions in small, dimensionless shear rates, lambda gamma, have a finite radius of convergence. We also show that these solutions can be analytically continued to a much larger domain by standard techniques for accelerating the convergence of series.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1984
- Accession Number
- ADA144876
Entities
People
- Seungchan Kim
- X. Fan
Organizations
- University of Wisconsin–Madison