Asymptotics of Fiber Spinning Equations
We consider a model for the production of glass fibers in a rotating spinning device. The model depends on two small parameters, namely the Reynolds-number δ and the Rossby-number ε. For small Rossby-numbers, i.e., a fast rotating spinning drum, numerical difficulties arise. To overcome this problems, asymptotic expansions are carried out for the stationary, inviscid case δ = 0 as well as for the instationary, viscous case δ = O(1).
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- [Pan06]Panda, S.: The dynamics of viscous fibers. PhD-Thesis, University of Kaiserslautern, Germany (2006)Google Scholar