Resistance formulas in hydraulics-based models for routing debris flows
By: Cheng-lung Chen and Chi-Hai Ling
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Abstract
The one-dimensional, cross-section-averaged flow equations formulated for routing debris flows down a narrow valley are identical to those for clear-water flow, except for the differences in the values of the flow parameters, such as the momentum (or energy) correction factor, resistance coefficient, and friction slope. Though these flow parameters for debris flow in channels with cross-sections of arbitrary geometric shape can only be determined empirically, the theoretical values of such parameters for debris flow in wide channels exist. This paper aims to derive the theoretical resistance coefficient and friction slope for debris flow in wide channels using a rheological model for highly-concentrated, rapidly-sheared granular flows, such as the generalized viscoplastic fluid (GVF) model. Formulating such resistance coefficient or friction slope is equivalent to developing a generally applicable resistance formula for routing debris flows. Inclusion of a nonuniform term in the expression of the resistance formula proves useful in removing the customary assumption that the spatially varied resistance at any section is equal to what would take place with the same rate of flow passing the same section under conditions of uniformity. This in effect implies an improvement in the accuracy of unsteady debris-flow computation.
Suggested Citation
Chen, C., and Ling, C., 1997, Resistance formulas in hydraulics-based models for routing debris flows, in International Conference on Debris-Flow Hazards Mitigation: Mechanics, Prediction, and Assessment, Proceedings, San Francisco, CA, USA, 7 August 1997 through 9 August 1997, p. 360-372.
| Publication type | Conference Paper |
|---|---|
| Publication Subtype | Conference Paper |
| Title | Resistance formulas in hydraulics-based models for routing debris flows |
| Year Published | 1997 |
| Language | English |
| Publisher | ASCE |
| Publisher location | New York, NY, United States |
| Larger Work Title | International Conference on Debris-Flow Hazards Mitigation: Mechanics, Prediction, and Assessment, Proceedings |
| First page | 360 |
| Last page | 372 |
| Conference Title | Proceedings of the 1997 1st International Conference on Debris-Flow Hazards Mitigation: Mechanics, Prediction, and Assessment |
| Conference Location | San Francisco, CA, USA |
| Conference Date | 7 August 1997 through 9 August 1997 |