Exact Solutions for a Class of Nonlinear Free Surface Flows

Shankar, PN (1991) Exact Solutions for a Class of Nonlinear Free Surface Flows. Technical Report. National Aerospace Laboratories, Bangalore, India.

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    Abstract

    We consider a class of inviscid free surface flows. where the free surface is of finite leng+-illand in vhich the pressure on the free 'boundary nis different from the free stream pressure p813; The aim of the paper is to determine the shape of the free13; surface as a functionthe velocity ratio parameter.^ . The free boundary problBll is tackled by seeking a mapping z=f(5) such that the flow past a circle in the 5 plane maps to a flow with constant pressure Pb on the free surface in the z-plane. Theformulation leads to an infinite system of coupled non-linear equations for the coefficients in the mapping function. Remarkably, the system can be solved exactly to yield two familiesilies of free surface flows. The nature of the solutions, their limitations and possible extensions to them are discussed.

    Item Type: Proj.Doc/Technical Report (Technical Report)
    Uncontrolled Keywords: Nonlinear surface
    Subjects: AERONAUTICS > Aerodynamics
    Division/Department: Computational and Theoretical Fluid Dynamics Division
    Depositing User: Mr. N A
    Date Deposited: 20 Jun 2006
    Last Modified: 24 May 2010 09:44
    URI: http://nal-ir.nal.res.in/id/eprint/1835

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