CALCULATION OF THE NORMAL DEPTH IN AN IRRIGATION CANAL USING NEWTON’S METHOD

Authors

  • Khamroeva Dilafruz Namozovna, PhD in Physical and Mathematical Sciences, Associate Professor, Department of Digital Technologies, Navoi State University ORCID ID: 0009-0000-5901-6611 e-mail: hdilafruz_285@mail.ru Author
  • Abdukhalilova Shakhnoza Zafar kizi, teacher of informatics, School No. 29, Karshi city ORCID ID: 0009-0008-1600-5283 e-mail: shaxnozaabduxalilova573@gmail.com Author

Keywords:

irrigation canal, normal depth, Manning’s formula, Newton’s method, Froude number, stage–discharge curve.

Abstract

The paper considers the problem of calculating the normal depth of steady uniform flow in an irrigation canal of rectangular cross-section on the basis of Manning’s formula. The resulting nonlinear equation is solved by Newton’s method, and the result is compared with the bisection method. The normal depth, flow velocity and Froude number are computed for various discharges and roughness coefficients, and the stage–discharge curve of the canal is constructed.

References

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Published

2026-10-05