Exact Equations for Critical Depth in a Trapezoidal Canal

by Prabhata K. Swamee, (corresponding author), Emeritus Fellow; Dept. of Civ. Engrg., Indian Inst. of Technol. Roorkee, Roorkee 247 667, India, swamifce@iitr.ernet.in,
Pushpa N. Rathie, Prof.; Dept. of Statistics, Univ. of Brasilia, Brasilia 70910-900, Brazil., rathie@unb.br,


Serial Information: Issue 5, Pg. 474-476


Document Type: Journal Paper

Discussion: Kouchakzadeh S. (See full record)
Discussion: Srivastava Rajesh (See full record)
Closure: (See full record)

Abstract: Critical depth is an important parameter in the analysis of varied flow in canals and natural streams. For triangular, rectangular, and parabolic channel sections it is possible to express critical depth analytically. However, for many practical sections, including the trapezoidal section, the governing equations are implicit in the critical depth. For these sections the critical depth is presently obtained either by trial and error procedure, or by using empirical equations based on curve fitting. In this Technical Note exact analytical solutions of critical depth for the trapezoidal open channel section have been obtained in the form of fast converging infinite series.

Subject Headings: Canals | Curvature | Gradually varied flow | Parameters (statistics) | Paraboloid | Empirical equations | Critical flow | Rivers and streams |

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