Abstract
Normal flow depth is an important parameter in design of open channels and analysis of gradually varied flow. In open channels with parabolic and rectangular cross-sections, the governing equations are nonlinear in terms of the normal depth and thus solution of the implicit equations involves numerical methods. In current research explicit solutions for these channels have been obtained using asymptote matching technique. For the parabolic channel, the maximum error of proposed equation for normal depth is less than 0.07% (near exact solution). But, in rectangular channels, the maximum error of proposed equation for normal depth is less than 1.94% which is not very accurate. The efficiency of the asymptote matching technique can be considerably improved by adding a power-law function between two asymptotes. For rectangular channel a new solution for normal flow depth is developed using the improved asymptote matching technique proposed in this research. The maximum error of this full range solution is less than 0.12%. The results showed that the improvement in proposed solution is substantial. Proposed full range solutions have definite physical concept, high accuracy and easy calculation and are well-suited for manual calculations and computer programming.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.