Abstract
Elongational flows of viscoelastic melts are frequently encountered in manufacturing processes in the textile industry. The most common stretching flow is melt-spinning. In this process, a polymeric melt is withdrawn from a reservoir, axially stretched, and simultaneously cooled down until the melt freezes.¶This paper addresses the fundamental question of existence of solutions for the system of quasilinear hyperbolic equations governing the melt-spinning process of a Giesekus fluid and a Phan-Thien--Tanner fluid. The problem is originally posed as a free boundary problem. It will be shown that the free boundary problem can be reformulated as an equivalent boundary-initial value problem for which we prove the (local in time) existence of classical solutions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
