Propagation of viscous gravity currents inside confining boundaries: the effects of fluid rheology and channel geometry

Longo, Sandro; Federico, Vittorio Di; Chiapponi, L.

doi:10.1098/rspa.2015.0070

Cited by 15 publications

(11 citation statements)

References 43 publications

(86 reference statements)

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“…3c and Supplementary Data 2) measurements at lateral flanks reveal appreciable highly localized deformation that suggests a pseudo-plastic rheology at shallow depths. Therefore, we apply the power-law flow theory to characterize the upper pseudo-plug and the lower yield zone above the underlying bedrock 23 (see "Methods"). Viscoplastic flow models suggest that the longitudinal shear velocities at the surface mirror the shape of the subsurface channel 24,25 .…”

Section: Discussionmentioning

confidence: 99%

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Four-dimensional surface motions of the Slumgullion landslide and quantification of hydrometeorological forcing

Bürgmann

Schulz

et al. 2020

Nat Commun

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Landslides modify the natural landscape and cause fatalities and property damage worldwide. Quantifying landslide dynamics is challenging due to the stochastic nature of the environment. With its large area of~1 km 2 and perennial motions at~10-20 mm per day, the Slumgullion landslide in Colorado, USA, represents an ideal natural laboratory to better understand landslide behavior. Here, we use hybrid remote sensing data and methods to recover the four-dimensional surface motions during 2011-2018. We refine the boundaries of an area of~0.35 km 2 below the crest of the prehistoric landslide. We construct a mechanical framework to quantify the rheology, subsurface channel geometry, mass flow rate, and spatiotemporally dependent pore-water pressure feedback through a joint analysis of displacement and hydrometeorological measurements from ground, air and space. Our study demonstrates the importance of remotely characterizing often inaccessible, dangerous slopes to better understand landslides and other quasi-static mass fluxes in natural and industrial environments, which will ultimately help reduce associated hazards.

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Section: Discussionmentioning

confidence: 99%

“…Assume that, first, the transverse velocity vanishes everywhere, u y ≡ 0; and second, the mass flow occurs in a layer of constant thickness for the infinitesimal distance downhill, and thus ∂h ∂x ¼ 0. For the power-law flow, the longitudinal velocity profile can be simplified as 23 :…”

Section: Discussionmentioning

confidence: 99%

Four-dimensional surface motions of the Slumgullion landslide and quantification of hydrometeorological forcing

Bürgmann

Schulz

et al. 2020

Nat Commun

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“…Gratton et al (1999) and Perazzo & Gratton (2005) presented a comprehensive theoretical framework for unidirectional and axisymmetric flow over a horizontal plane and down an incline. Longo et al (2013a) investigated experimentally horizontal spreading in radial geometry, while Longo et al (2015c) and Longo et al (2015d ) examined the advance in horizontal and inclined channels, taking into account the shape of the cross section, and longitudinal variations of cross section and bottom inclination.…”

Section: Introductionmentioning

confidence: 99%

Gravity-driven flow of Herschel–Bulkley fluid in a fracture and in a 2D porous medium

et al. 2017

Self Cite

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New analytical models are introduced to describe the motion of a Herschel–Bulkley fluid slumping under gravity in a narrow fracture and in a porous medium. A useful self-similar solution can be derived for a fluid injection rate that scales as time $t$; an expansion technique is adopted for a generic injection rate that is power law in time. Experiments in a Hele-Shaw cell and in a narrow channel filled with glass ballotini confirm the theoretical model within the experimental uncertainty.

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“…Previous work on MHD flow [47] with radiation heat transfer [10,[48][49][50] with models [51,52] and methods [53,54], in various media [55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73].…”

Section: Introductionmentioning

confidence: 99%

“…The media can be categorized as porous [55], convective [56], microchannel [57], square cavity [58], gravity flows [59], gravity currents [60], suspensions [61], shear-thinning [62], porous gravity currents [63], power-law gravity currents [64], vertically graded porous media [65], confining boundaries [66], gravity porous media [67], propagative [68][69][70], pressure-dependent [71], rheological [72], and varying cross-sections and inclinations [73]. The literature is very broad but few papers consider all the effects in one study.…”

Section: Introductionmentioning

confidence: 99%

Magnetic Field Effects on Chemical Reaction of Power-Law Fluid over an Axisymmetric Stretched Sheet

Jamalabadi¹,

Yaghoub²

2019

Magnetochemistry

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Numerical investigation of the effects of magnetic field strength, thermal radiation, Joule heating, and viscous heating on a forced convective flow of a non-Newtonian, incompressible power-law fluid in an axisymmetric stretching sheet with variable temperature wall is accomplished. The power-law shear-thinning viscosity-shear rate model for the anisotropic solutions and the Rosseland approximation for the thermal radiation through a highly absorbing medium is considered. The temperature-dependent heat sources, Joule heating, and viscous heating are considered to be the source terms in the energy balance. The non-dimensional boundary-layer equations are solved numerically in terms of similarity variable. A parameter study on the boundary value of chemical reaction and Nusselt number is performed as a function of thermal radiation parameter, Brinkman number, Prandtl number, Hartmann number, power-law index, heat source coefficient, Brownian parameter, thermophoresis parameter, and the chemical reaction parameter. The results show that the chemical reaction parameter has an increasing effect on the chemical reaction boundary while the magnetic, thermophoresis, and Brownian effects decrease the rate of the chemical reaction at the boundary.

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Propagation of viscous gravity currents inside confining boundaries: the effects of fluid rheology and channel geometry

Cited by 15 publications

References 43 publications

Four-dimensional surface motions of the Slumgullion landslide and quantification of hydrometeorological forcing

Four-dimensional surface motions of the Slumgullion landslide and quantification of hydrometeorological forcing

Gravity-driven flow of Herschel–Bulkley fluid in a fracture and in a 2D porous medium

Magnetic Field Effects on Chemical Reaction of Power-Law Fluid over an Axisymmetric Stretched Sheet

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