The velocity of axially moving slender fiber of viscoelastic fluid is an important factor in mass-production of crimped fibers in stuffer box crimping and bubble electrospinning. A governing equation for fiber crimp is obtained by the Hamilton’s principle, and the natural frequency and critical axially moving velocity are obtained analytically by considering the thermal effect. It is concluded that a high temperature gradient can greatly enhance the production ratio and guarantee the fundamental transverse vibration. Additionally the effects of the tensile axial load and amplitude on transverse vibration are also elucidated.
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