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Two-layer debris mixture flows on arbitrary terrain with mass exchange at the base and the interface

Content Provider	Springer Nature Link
Author	Hutter, Kolumban Luca, Ioana
Copyright Year	2011
Abstract	Granular-fluid gravity driven flow down arbitrary topographic terrain is modelled as a two-layer system of a solid-fluid mixture layer overlain by a slurry, consisting of a particle-laden fluid. The lower layer is dynamically treated as a two-phase flow with two constituent mass and momentum balance laws. By contrast, the slurry is described by mass and momentum balances for the mixture as a whole and a diffusive mass balance for the suspended particle phase. At the base, the mixture interacts with the stagnant base by solid-fluid deposition or erosion. At the mixture-slurry interface, solid and fluid mass exchanges are equally taken into account, but the free surface is treated as material and tractionless. The dynamical equations are formulated in three-dimensional form as general balance laws of mass and momentum in each layer. Intrinsic expressions of the jump conditions of mass and momentum are given for the basal and interface surfaces. The field equations are put into dimensionless form and presented relative to topography adjusted coordinates. These equations are further simplified and approximated by a depth-averaging procedure using an order parameter $${\varepsilon = H/L}$$ , where H and L are typical thickness and length scales of the gravity current. Detailed proposals are worked out for the parameterizations of the solid and fluid mass flows across the basal surface and layer interface.
Starting Page	525
Ending Page	558
Page Count	34
File Format	PDF
ISSN	09351175
Journal	Continuum Mechanics and Thermodynamics
Volume Number	24
Issue Number	4-6
e-ISSN	14320959
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-12-20
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Debris flow Two-layer shallow flow Particle-laden fluid Erosion rate Solid-fluid mass flux Topography fitted coordinates Theoretical and Applied Mechanics Structural Materials Classical Continuum Physics Engineering Thermodynamics, Heat and Mass Transfer
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials Materials Science

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