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Hydraulically efficient power-law channels

Hydraulically efficient power-law channels
Hydraulically efficient power-law channels
A power-law channel is a generalized form of a channel and includes parabolic and triangular cross sections. For an exponent m<0.5 in the power law, the relative wetted perimeter has been estimated from a series expansion truncated to four terms. For values of the exponent m 0.5 the relative wetted perimeter has been estimated using an appropriate non-linear interpolation expression. A table to estimate relative wetted perimeter based on these expressions is presented for design purposes. With these expressions for relative wetted perimeter, and using the Lagrange method of undetermined multipliers, for any given maximum side slope, the area and/or wetted perimeter is minimized subject to the equality constraint of a uniform flow (Mannings) equation. Using this technique, for any given side slope, the exponent of the power-law channel can be determined and hydraulically efficient power-law channels can be designed. Optimized power-law channels are compared with trapezoidal and parabolic channels. The existing parabolic design of the Pehur High Level Canal, Pakistan is compared with an optimum power-law channel.
channel design, channels, waterways, irrigation, optimization
0733-9437
18-26
Anwar, Arif A.
e9a57bb7-5225-45e6-9a69-2396a6e4fd31
de Vries, Tonny T.
bade5b3c-2f5b-426a-9bc7-1c060b5a2509
Anwar, Arif A.
e9a57bb7-5225-45e6-9a69-2396a6e4fd31
de Vries, Tonny T.
bade5b3c-2f5b-426a-9bc7-1c060b5a2509

Anwar, Arif A. and de Vries, Tonny T. (2003) Hydraulically efficient power-law channels. Journal of Irrigation and Drainage Engineering, ASCE, 129 (1), 18-26. (doi:10.1061/(ASCE)0733-9437(2003)129:1(18)).

Record type: Article

Abstract

A power-law channel is a generalized form of a channel and includes parabolic and triangular cross sections. For an exponent m<0.5 in the power law, the relative wetted perimeter has been estimated from a series expansion truncated to four terms. For values of the exponent m 0.5 the relative wetted perimeter has been estimated using an appropriate non-linear interpolation expression. A table to estimate relative wetted perimeter based on these expressions is presented for design purposes. With these expressions for relative wetted perimeter, and using the Lagrange method of undetermined multipliers, for any given maximum side slope, the area and/or wetted perimeter is minimized subject to the equality constraint of a uniform flow (Mannings) equation. Using this technique, for any given side slope, the exponent of the power-law channel can be determined and hydraulically efficient power-law channels can be designed. Optimized power-law channels are compared with trapezoidal and parabolic channels. The existing parabolic design of the Pehur High Level Canal, Pakistan is compared with an optimum power-law channel.

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More information

Published date: January 2003
Keywords: channel design, channels, waterways, irrigation, optimization

Identifiers

Local EPrints ID: 48056
URI: http://eprints.soton.ac.uk/id/eprint/48056
ISSN: 0733-9437
PURE UUID: c87f50d1-781d-46c6-aa80-8f76c0161c73
ORCID for Arif A. Anwar: ORCID iD orcid.org/0000-0002-3071-3197

Catalogue record

Date deposited: 29 Aug 2007
Last modified: 09 Jan 2022 02:52

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Contributors

Author: Arif A. Anwar ORCID iD
Author: Tonny T. de Vries

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