Linearized solution of a flow over a ramp
type: Item
instance of: scholarly article
title: Linearized solution of a flow over a ramp
zbMATH Open document ID: 0649.76004
DOI: 10.1016/0307-904X(88)90071-6
author: S. Z. Masoud
author: M. B. Abd-el-Malek
published in: Applied Mathematical Modelling
publication date: 1988-01-01T00:00:00Z
review text: The study of two-dimensional, irrotational, inviscid, incompressible, steady-state motion generated by a ramp placed on the bottom of a running stream is made in terms of the linearized theory. The bottom is represented in integral form using Fourier's double-integral theorem. Following the method suggested by Thomson and Lamb, we obtain a linear free-surface profile, in series form, for the supercritical and subcritical cases. The results are plotted for the two cases of the flow for different shapes of the bottom and different values of the Froude number. The effect of the Froude number and the bottom height is discussed.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4060857
zbMATH Keywords: two-dimensional, irrotational, inviscid, incompressible, steady-state motion
zbMATH Keywords: linearized theory
zbMATH Keywords: Fourier's double-integral theorem
zbMATH Keywords: linear free-surface profile
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4060857