Accession Number:

AD0755065

Title:

On the Stability of Elongational Flow of Viscoelastic Liquids. I. The Rubberlike Liquid with a Single-Exponential Memory Function.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1972-11-01

Pagination or Media Count:

40.0

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 A1t, A2t, 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 A1tA2t 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.

Subject Categories:

  • Physical Chemistry
  • Plastics
  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE