Stationary Two-dimensional Inviscid Flow with Flexible Boundaries Including the Effect of Surface Tension

Author: Terentiev A.   Zhitnikov V.  

Publisher: Springer Publishing Company

ISSN: 0022-0833

Source: Journal of Engineering Mathematics, Vol.55, Iss.1-4, 2006-08, pp. : 111-126

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Abstract

Surface tension, which acts on free boundaries, can change considerably the configuration of a free boundary and influence the hydrodynamic characteristics of a deformable surface. The capillary film on the border of a fluid and gas can be regarded as a flexible momentless shell; however, the existence conditions of a flow of capillary fluid with a free boundary and a flow about a flexible shell with analogous geometry may differ considerably. In this paper problems of the two mentioned types with a single boundary condition are investigated and it is shown which flow corresponds to each mathematical solution