Fall and rise of a viscoelastic filament
نویسندگان
چکیده
When a viscoelastic fluid blob is stretched out into a thin horizontal filament, it sags and falls gradually under its own weight, forming a catenary-like structure that evolves dynamically. If the ends are brought together rapidly after stretching, the falling filament tends to straighten by rising. These two effects are strongly influenced by the elasticity of the fluid and yield qualitatively different behaviours from the case of a purely viscous filament analyzed previously [J. Teichman and L. Mahadevan, J. Fluid Mech. 478, 71 (2003)]. Starting from the bulk equations for the motion of a viscoelastic fluid, we derive a simplified equation for the dynamics of a viscoelastic filament and analyze this equation in some simple settings to explain our observations.
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