Numerical solution of two dimensional flow
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Date
2021-06-10
Journal Title
Journal ISSN
Volume Title
Publisher
University of M'sila
Abstract
An approximate method is presented to solve the problem of steady free-surface flow of
an ideal fluid over u semi-infinite triungle in the bottom of un open channel. Schwartz-
Christoffel transformation is used to map the region of flow, in the complex potential-plane,
onto the upper half-plane. The Hilbert transformation as well as the perturbation technique
are used as a basis for the approximate solution of the problem for large Froude number
and small inclination angle of the ramp. General equations, in integral form, for any order
of approximation are obtained. Solution up to first-order approximation is discussed and
illustrated .
Description
Keywords
Free-surface flow problems, Schwartz-Christoffel transformation, Hilbert transformation, perturbation technique, nonlinear integral equations.