- 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
pp. 679-712 .
(last updated on 2005/05/04)
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.