Transverse vibration of an axially moving slender fiber of viscoelastic fluid in bubbfil spinning and stuffer box crimping

Transverse vibration of an axially moving slender fiber of viscoelastic fluid is studied. The governing equations are derived under the assumptions of onedimensional steady and incompressible flow and linear Euler-Bernoulli bar. Effect of the moving velocity of the liquid fiber on natural frequencies is discussed, and the critical velocities of moving fibers are derived, below which transverse vibration is exponentially damped.