A Finite Difference Study of the Stretching and Break-Up of Filaments of Polymer Solutions.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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The stretching and break-up of a viscoelastic filament pulled by a constant weight is studied numerically by a finite difference method. The results show the following tendencies 1. Newtonian filaments, even in the absence of surface tension, show a rapid increase in elongation at one particular point these break there. 2. The addition of a viscoelastic polymer prevents or at least delays the break-up, even if it makes only a small difference to shear viscosity. 3. Surface tension accelerates break-up, but even in the presence of surface tension elasticity has a stabilizing effect. Author
- Numerical Mathematics
- Fluid Mechanics