Physics
Scientific paper
Nov 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007georl..3421402u&link_type=abstract
Geophysical Research Letters, Volume 34, Issue 21, CiteID L21402
Physics
Hydrology: Debris Flow And Landslides, Hydrology: Modeling, Hydrology: Numerical Approximations And Analysis
Scientific paper
Characteristics of the transition from supercritical to subcritical regime (hydraulic jump) in laminar flow of a Herschel-Bulkley fluid on an horizontal plane are examined. The set of equations governing the flow is presented, recovering earlier results for a Bingham fluid. The determination of the flow conditions downstream, given those upstream, involves solution of a nonlinear algebraic system in three unknowns; an approximate analytical formula for conjugate depths is derived since no exact solution can be obtained in closed form. The relative error thus introduced is then evaluated numerically; its maximum value is shown to be less than a few percent. The behavior of flow depth, bottom shear stress and critical depth are established and illustrated as function of the flow behavior index; the critical depth and the ratio of conjugate depths increase with the behavior index and until the bottom shear stress exceeds a certain value, and then decrease afterwards.
Di Federico Vittorio
Ugarelli Rita
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