Abstract
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 hasa 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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
