Unidirectional steady flow of a viscoelastic fluid with a free surface

• Author(s): Urbano, José Miguel ; Videman, Juha H.
• Date: 2000
• Persistent ID: http://hdl.handle.net/10316/11473
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Free boundary problems; Second grade fluids; Fixed point method
• Document Type: Preprint
• Language: English

Description

We study the steady flow of a second grade fluid down an open inclined channel. We formulate the mathematical problem, a mixed boundary value problem for the Laplacian with an unknown free boundary described by a nonlinear second order ODE, and prove existence of a unique solution for small data using a contraction argument.