Author(s)

J. Asavanant

Abstract

Computation of free-streamline solutions of flows past a surface-piercing object J. Asavanant Department of Mathematics, Chulalongkorn University, Bangkok, Thailand ABSTRACT The classical free-streamline theory introduced in the middle of the nineteenth century by Helmholtz and Krichhoff, i.e., the use of the hodograph plane and of the Schwarz-Christoeffel transformation, cannot be used to find exact solutions when some part of the rigid boundary is curved. We consider a problem of steady two-dimensional flows past a parabolic obstacle of finite length in water of finite depth in the absence of gravity. The fluid is treated as inviscid and incompressible and the flow is assumed to be irrotational. The problem is solved by using a series truncation technique. Accurate numerical solutions are obtained by collocation method. It is shown that there is a family of continuous solutions for which the free surfaces attach tangentially at the separation points. Furthermore, these sol

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