Free surface and surface tension effects on submerged bodies

✍ Scribed by E. Ammicht

• Book ID: 104617266
• Publisher: Springer
• Year: 1979
• Tongue: English
• Weight: 443 KB
• Volume: 13
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00037539

✦ Synopsis

The Oseen problem for the steady motion of an object beneath a free surface with surface tension under the action of gravity is formulated. The Green's tensor for the problem is used to convert the boundary value problem to a coupled pair of integral equations for the stresses which the fluid exerts on the object. For the special case of a flat plate, these integral equations are analyzed asymptotically for small velocities and deep immersion. This yields a Fredholm equation of the second kind with Cauchy kernel, which has a well-known solution. The results indicate the effect of surface tension on the stress singularities at the edges of the plate, and modification of the lift and drag due to the free surface.

2. Formulation of the problem

We consider the steady two-dimensional flow of a viscous incompressible fluid past a body