|
Publications [#37311] of Thomas P. Witelski
search www.ams.org.Papers Published
- L. B. Smolka and A. Belmonte and D. M. Henderson and T.P. Witelski, Exact solution for the extensional flow of a viscoelastic filament,
European Journal of Applied Mathematics, vol. 15 no. 6
(2005),
pp. 679-712
(last updated on 2005/05/04)
Abstract: We derive an exact solution for a purely
extensionalcylindrical filament of
viscoelastic fluid that satisfies both the
upper convected Maxwell and Oldroyd-B
equations. The resulting prediction of
decreasing filament thickness agrees with our
experimental measurements for semi-dilute
polymer solutions. In the limit of time to
infinity, the exact solution approaches that
for a Newtonian fluid.
|