CGRG Bibliography of Canadian Geomorphology
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Author : Brown, V.C.
Date : 2005.
Title : Modification of Yalin and da Silva's regime method and related computational procedures.
Publication : Unpublished MSc (Eng) thesis. Queen's University at Kingston, Ontario.
Issue :
Page(s) : 238.
Abstract
According to the prevailing approach, the regime channel characteristics, namely flow-width BR, flow depth hR and slope SR, of a self-formed alluvial stream are determined by solving simultaneously a system of three physically-based equations. Yalin and da Silva (2001) used a system formed by a flow resistance equation, a regime flow-width equation (BR-equation) and a Fr-minimization criterion. Their third equation (Fr-minimization) was developed on the premise that the stream's regime state is achieved through the minimization of the Froude number Fr. For flow resistance, these authors adopted the Chézy resistance equation. The BR-equation, which was derived semi-empirically from regime data, is not an explicit expression, i.e. it is a function of both control (independent) and response (dependent) variables. As a result, this system of equations must be solved iteratively. In this thesis, and following Bielenberg (2003), Yalin and da Silva's regime method is modified by incorporating a new explicit BR-equation—formulated using dimensional analysis and available regime data. The introduction of the new BR-equation simplifies the solution to the system of equations, so that, two new manual computational procedures could be developed to predict the regime channel characteristics. The first manual procedure (Method I) is a modification of that proposed by Bielenberg (2003) and involves a combination of design charts and computations. The second manual procedure (Method II) provides a complete graphical solution for the regime characteristics using only four design charts.
Bibliography of Canadian Geomorphology