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Unsteady Flow of Bingham Viscoplastic Material in an Open Channel

by W. Z. Savage, Denver Federal Ctr, Denver, United States,
B. Amadei, Denver Federal Ctr, Denver, United States,
S. H. Cannon, Denver Federal Ctr, Denver, United States,



Document Type: Proceeding Paper

Part of: Hydraulics/Hydrology of Arid Lands (H?AL)

Abstract:

An analytic solution for transient flow of a Bingham viscoplastic material in an open channel is presented. The solution for the response to a time-varying pressure gradient predicts shear stress and velocity in a viscoplastic layer where shear stress exceeds material strength and shear stress and velocity in an overlying rigid layer where shear strength is less than material strength. Under a constant pressure gradient, the thickness of the viscoplastic layer asymptotically approaches the steady flow thickness. With removal of the pressure gradient, the thickness of the viscoplastic layer asymptotically approaches zero and flow stops.

Subject Headings: Shear stress | Fluid flow | Shear strength | Strength of materials | Transient flow | Thickness | Open channels

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