Exact solutions for a class of nonlinear free surface flows

Shankar, PN (1991) Exact solutions for a class of nonlinear free surface flows. Proceedings: Mathematical and Physical Sciences, 434 (1892). pp. 677-682.

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Abstract

Consideration is given to a class of inviscid free surface flows where the free surface is of finite length and the pressure on the free boundary is different from the free stream pressure. The study is aimed at determining the shape of the free surface as a function of the velocity ratio parameter. A mapping technique is used to obtain13; exact solutions for a class of free-boundary problems. An infinite system of coupled nonlinear equations is formulated for the coefficients in the mapping function. It is found that the system can be solved exactly, and the solution can be written in simple closed form.

Item Type: Journal Article
Uncontrolled Keywords: Flow equations;Fluid boundaries;Free boundaries;Inviscid flow; Nonlinear equations;Bernoulli theorem;Bubbles
Subjects: ENGINEERING > Fluid Mechanics and Thermodynamics
Division/Department: Computational and Theoretical Fluid Dynamics Division
Depositing User: M/S ICAST NAL
Date Deposited: 28 Mar 2008
Last Modified: 24 May 2010 09:55
URI: http://nal-ir.nal.res.in/id/eprint/4455

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