| A new approximate formula of critical water depth in circular cross-section |
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| DOI：10.7606/j.issn.1000-7601.2013.04.010 |
| Key Words: mathematics model hydraulic computation critical water |
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| Abstract: |
| Aimed at the problems of large error and narrow applicable scope exiting in the trial and diagram methods generally used, a new approximate formula of critical water depth in circular cross-section was proposed. The mathematical model of critical water depth was set up through the mathematical transformation of critical flow formula in circular cross-section, and the new approximate formula of critical water depth in circular cross-section was obtained by using least squares for programming computation. The example computation and error analysis indicated that the largest relative error of this formula was smaller than 1% in the practical scope of project. Compared with the existing formula of critical water depth in circular cross-section, the new formula is more convenient in computation and broader in applicable scope, and it can be applied for reference in engineering practices. |