On the Stability of Elongational Flow of Viscoelastic Liquids. I. The Rubberlike Liquid with a Single-Exponential Memory Function.
Abstract
The report involves the 'spinnability' of high polymers. A new, simple method of analyzing the stability of elongational flow of a cylindrical liquid filament is presented. At time t, the filament is assumed to be composed of two uniform cylinders, of unequal cross-sectional areas A(1)(t), A(2)(t), connected end to end. A constant, uniform tensile force F is suddenly applied at t = 0. Using the 'rubberlike liquid' constitutive equations, the area ratio A(1)(t)/A(2)(t) can be obtained from solutions of a non-linear Volterra integral equation. Numerical solutions are obtained by two independent methods: a step-by-step integration of the Volterra equation, and a Runge-Kutta solution of the non-linear second-order ordinary differential equation to which the Volterra equation can be reduced.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1972
- Accession Number
- AD0755065
Entities
People
- A. S. Lodge
- Hui Chang
- J. B. Mcleod
Organizations
- University of Wisconsin–Madison