Transition from supercritical to subcritical regime in free surface flow of yield stress fluids
| Autor: | Vittorio Di Federico, Rita Ugarelli |
|---|---|
| Přispěvatelé: | R. Ugarelli, V. Di Federico |
| Jazyk: | angličtina |
| Rok vydání: | 2007 |
| Předmět: |
Materials science
Thermodynamics Herschel–Bulkley fluid Laminar flow RISALTO IDRAULICO Mechanics Non-Newtonian fluid HYDRAULIC JUMP Hydraulic jumps in rectangular channels Physics::Fluid Dynamics NON-NEWTONIAN FREE-SURFACE FLOW Geophysics FLUIDI NON-NEWTONIANI HERSCHEL-BULKLEY Shear stress General Earth and Planetary Sciences Momentum-depth relationship in a rectangular channel Bingham plastic Hydraulic jump |
| Popis: | [1] 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. |
| Databáze: | OpenAIRE |
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