Numerical approximation of the Newtonian film blowing problem

✍ Scribed by V.J. Ervin; J.J. Shepherd

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 967 KB
• Volume: 49
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2005.01.019

✦ Synopsis

In this article, we study the numermal approximation of a Newtoman model for film blowing. We prove that the approximations for the bubble radius, and the film thickness, converges to the true solution and establish the convergence rates. Numerical results are given whmh demonstrate the theoretical results obtained (~) 2005 Elsevmr Ltd. All mghts reserved Keywords--Fflm blowing, Finite-element method, A pmom error estimate.

to eventually expand to an increased radius, as shown. In appropriate circumstances, an initial narrowing, or necking may occur. As it develops, this tube or bubble of polymer is cooled by *This research was undertaken while a visitor at the RMIT University Valuable input into deriving the optimal error estimates was provided by Professor Norbert Heuer,