Journal ArticleDOI
Two-dimensional dam break flows of Herschel–Bulkley fluids: The approach to the arrested state
Gary P. Matson,Andrew J. Hogg +1 more
TLDR
Dam break flows of viscoplastic fluids are studied theoretically using a Herschel-Bulkley constitutive law and a lubrication model of the motion in this paper, and the evolution of these flows from initiation to arrest is studied by integrating the equations of motion numerically.Abstract:
Dam break flows of viscoplastic fluids are studied theoretically using a Herschel–Bulkley constitutive law and a lubrication model of the motion. Following initiation these fluids are gravitationally driven out of the lock in which they had resided. Their motion is eventually arrested because they exhibit a yield stress and they attain a stationary state in which the gravitational forces are in equilibrium with the yield stress. We study the evolution of these flows from initiation to arrest by integrating the equations of motion numerically. We demonstrate that the final arrested state is approached asymptotically and find analytically that the perturbations to the final state decay algebraically with time as 1 / t n , where n is the power index of the Herschel–Bulkley model.read more
Citations
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Journal ArticleDOI
Yielding to Stress: Recent Developments in Viscoplastic Fluid Mechanics
TL;DR: The most common idealization of a viscoplastic fluid is the Bingham model, which has been widely used to rationalize experimental data, even though it is a crude oversimplification of true rheological behavior.
Journal ArticleDOI
Plasticity and geophysical flows: A review
TL;DR: In this article, a review of the use of the concept of plasticity in geophysical fluid dynamics is presented, focusing on the role of pore pressure and friction in the bulk dynamics.
Journal ArticleDOI
Viscoplastic flow over an inclined surface
TL;DR: In this article, the authors review viscoplastic flow over inclined surfaces, focusing on constant-flux extrusions from small vents and the slumping of a fixed volume of material.
Journal ArticleDOI
The dam-break problem for Herschel-Bulkley viscoplastic fluids down steep flumes
Christophe Ancey,Steve Cochard +1 more
TL;DR: In this article, the authors investigated the dam-break problem for viscoplastic (Herschel-Bulkley) fluids down a sloping flume: a fixed volume of fluid initially contained in a reservoir is released onto a slope and flows driven by gravitational forces until these forces are unable to overcome the fluid's yield stress.
Journal ArticleDOI
Viscoplastic dam breaks and the Bostwick consistometer
TL;DR: In this article, the authors present a theoretical and experimental analysis of the dam break of a viscoplastic fluid in a horizontal channel, using a shallow, slow fluid model based on the Herschel-Bulkley constitutive law to characterize the early and late stages of flow, the final state and the dependence on yield stress and nonlinear viscosity.
References
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Journal ArticleDOI
The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface
TL;DR: In this paper, the viscous gravity current that results when fluid flows along a rigid horizontal surface below fluid of lesser density is analyzed using a lubrication-theory approximation, and it is shown that the effect on the gravity current of the motion in the upper fluid can be expressed as a condition of zero shear on the unknown upper surface of the current.
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Measuring the Flow Properties of Yield Stress Fluids
Q. D. Nguyen,David V. Boger +1 more
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The Interpretation of Lava Flow Morphology
TL;DR: In this paper, it was shown that non-Newtonian properties of lava are mainly responsible for the shape of lava flows and not just the surface properties of the lava itself.
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A Herschel–Bulkley model for mud flow down a slope
Xin Huang,Marcelo H. Garcia +1 more
TL;DR: In this paper, the spreading and sediment deposit of a two-dimensional, unsteady, laminar mud flow from a constant-volume source on a relatively steep slope is studied theoretically and experimentally.
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A fifty cent rheometer for yield stress measurement
TL;DR: In this article, the conical slump test was adapted for a cylindrical geometry to measure the yield stress of strongly flocculated suspensions and good agreement was obtained with the vane for numerous mineral suspensions under known surface chemistry conditions.