2012Journal of Water Resources and Architectural EngineeringRequires access

Approximate Calculation Formula for Uniform Flow Depth of Trapezoidal Cross-section

Teng Kai

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Abstract

The calculation for the uniform flow depth of trapezoidal cross-section should be done by completing the solution of high-order equations,and could not be done directly.According to some problems in the traditional algorithms and approximate algorithms,through the mathematical transformation for the uniform flow equations and optimization fitting method,and taking the minimum standard remaining deviation for objective function,the approximate formula is achieved by approximating and fitting successively in the range of practical parameters,the maximum relative error of which is less than 0.36%,and which has a certain significance for promoting and spreading.

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What this paper is about

The calculation for the uniform flow depth of trapezoidal cross-section should be done by completing the solution of high-order equations,and could not be done directly.According to some problems in the traditional algorithms and approximate algorithms,through the mathematical transformation for the uniform flow equations and optimization fitting method,and taking the minimum standard remaining deviation for objective function,the approximate formula is achieved by approximating and fitting successively in the range of practical parameters,the maximum relative error of which is less than 0.36%,and which has a certain significance for promoting and spreading.

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Available abstract

The calculation for the uniform flow depth of trapezoidal cross-section should be done by completing the solution of high-order equations,and could not be done directly.According to some problems in the traditional algorithms and approximate algorithms,through the mathematical transformation for the uniform flow equations and optimization fitting method,and taking the minimum standard remaining deviation for objective function,the approximate formula is achieved by approximating and fitting successively in the range of practical parameters,the maximum relative error of which is less than 0.36%,and which has a certain significance for promoting and spreading.

Key concepts: Mathematics, Range (aeronautics), Section (typography), Cross section (physics), Approximation error, Transformation (genetics), Function (biology), Flow (mathematics)

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