2013•Water Sciences and Engineering TechnologyRequires access

Simplify the Calculation Formula of Conjugate Water Depth in the Parabolic Class Canal

Ding Fu-ha

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Abstract

Conjugate water depth using conventional methods for solving the parabolic class canal calculate not only the complexity of the process and the results accuracy is not high. The simplified formula applies only to a particular form of parabolic-shaped cross-section(semi-cubic, square and cubic), and the formula in the form is not serious enough simplified. By introducing dimensionless parameters relative depth on the basis of parabolic type canal conjugate water depth basic formula deformation finishing, to ensure solving achievements accuracy to meet the requirements of engineering design for the premise, the optimization of the function equation fitting to obtain expressed in a simple form, calculate the simple approximate calculation formula, the actual application value.

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What this paper is about

Conjugate water depth using conventional methods for solving the parabolic class canal calculate not only the complexity of the process and the results accuracy is not high. The simplified formula applies only to a particular form of parabolic-shaped cross-section(semi-cubic, square and cubic), and the formula in the form is not serious enough simplified. By introducing dimensionless parameters relative depth on the basis of parabolic type canal conjugate water depth basic formula deformation finishing, to ensure solving achievements accuracy to meet the requirements of engineering design for the premise, the optimization of the function equation fitting to obtain expressed in a simple form, calculate the simple approximate calculation formula, the actual application value.

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Available abstract

Conjugate water depth using conventional methods for solving the parabolic class canal calculate not only the complexity of the process and the results accuracy is not high. The simplified formula applies only to a particular form of parabolic-shaped cross-section(semi-cubic, square and cubic), and the formula in the form is not serious enough simplified. By introducing dimensionless parameters relative depth on the basis of parabolic type canal conjugate water depth basic formula deformation finishing, to ensure solving achievements accuracy to meet the requirements of engineering design for the premise, the optimization of the function equation fitting to obtain expressed in a simple form, calculate the simple approximate calculation formula, the actual application value.

Key concepts: Mathematics, Mathematical analysis, Conjugate, Parabolic cylinder function, Dimensionless quantity, Simple (philosophy), Square (algebra), Parabolic partial differential equation

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