River Wave Response to the Friction-Inertia Balance

by M. G. Ferrick, US Army Cold Regions Research &, Engineering Lab, Hanover, NH, USA,

Document Type: Proceeding Paper

Part of: Hydraulic Engineering


The changing character of the solution of the Saint-Venant equations for river flow problems with the dimensionless parameter F//I reflects a changing balance between friction and inertia. The author linearizes and places these equations in nondimensional form, and obtains solutions or considers the structure of the solution in different ranges of F//I. The solutions for inertia-dominated flow and for friction-dominated flow have similar form but represent fundamentally different physical processes. In treating the transition between these extremes the author identifies and obtains expressions for the frictional attenuation of disturbances transmitted by dynamic waves.

Subject Headings: Water waves | Wave equations | Friction | Hydrologic models | Parameters (statistics) | Linear functions | Wave attenuation | Equations of motion

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