The effect of shear in fiber spinning

We study the equations of isothermal fiber spinning under the assumption that viscous friction in the fiber is balanced by shear stresses. Our discussion gives a rather complete picture of the existence and nonexistence of stationary solutions. The linearization about steady state of the governing equations is analyzed by semigroup methods and shown to have the spectrally determined growth property. Both linear and nonlinear stability of stationary solutions is investigated numerically. © 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim