Principles of Graphical Gradually Varied Flow Model

by Nicholas Kouwen, (M.ASCE), Asst. Prof.; Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada,
Shully I. Solomon, Assoc. Prof.; Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada,
Robert Alex Harrington, (A.M.ASCE), Grad. Student; Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada,


Serial Information: Journal of the Hydraulics Division, 1977, Vol. 103, Issue 5, Pg. 531-541


Document Type: Journal Paper

Discussion: van Heerden Willem M. (See full record)
Discussion: Solanki Himat T. (See full record)
Closure: (See full record)

Abstract: Any gradually varied flow computation requires the solution of the energy and continuity equations. To this end, many techniques are available. For prismatic channels, the Direct Step Method gives a result without requiring iteration. However, for nonprismatic channels, it is necessary to resort to some variation of the Standard Step Method, thereby requiring some iterative procedure. A graphical solution, using a simple program to construct a set of curves, can eliminate iteration as well as retain flexibility with regard to flow variations along the reach. To accomplish this, a graphical solution of the energy equation is presented using hydraulic transform graphs for river cross sections along a reach.

Subject Headings: Graphic methods | Gradually varied flow | Flow visualization | Computing in civil engineering | Continuity equations | Curvature | Hydraulics | Rivers and streams

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