On stagnant flow regions of a viscous-plastic medium in pipes

Mosolov, Petr P.; Miashikov, V.P.

doi:10.1016/0021-8928(66)90035-9

Cited by 61 publications

(40 citation statements)

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“…The computation of pipe flow in more complicated geometries, such as square cross sections, is hindered by the need to find the yield surfaces numerically. Considerable progress has been made on this aspect, and we refer the reader to the work of Mosolov and Miasnikov (1966), Saramito and Roquet (2001), Huilgol (2006) and Muraleva and Muraleva (2009). It is worth mentioning that Saramito and Roquet (2001) show that the Buckingham-Reiner law for a circular tube may be used with minimal error for a square tube after rescaling.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Microstructure on Models for the Flow of a Bingham Fluid in Porous Media: One-Dimensional Flows

Nash

Rees

2017

Transp Porous Med

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The Buckingham-Reiner models for the one-dimensional flow of a Bingham fluid along a uniform pipe or channel are well-known, but are modified here to cover much more general one-dimensional configurations. These include selections of channels with different widths, and five different probability density functions describing distributions of channel widths. It is found that the manner in which breakthrough occurs at the threshold pressure gradient depends very strongly on the type of distribution of pores and that a pseudo-threshold pressure gradient, which might be inferred from measurements of flow at relatively high pressure gradients, may be more than twice the magnitude of the true threshold gradient.

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Section: Introductionmentioning

confidence: 99%

The Effect of Microstructure on Models for the Flow of a Bingham Fluid in Porous Media: One-Dimensional Flows

Nash

Rees

2017

Transp Porous Med

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“…More precisely, we study the link between the yield limit distribution and the external forces distribution (or the mass density distribution) for which the flow of the Bingham fluid is blocked or exhibits rigid zones. In opposition to the previous works dealing only with homogeneous Bingham fluids [8,9,11,12,[16][17][18], we are interested in a fluid whose yield limit is inhomogeneous.…”

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confidence: 99%

The blocking of an inhomogeneous Bingham fluid. Applications to landslides

et al. 2002

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Abstract. This work is concerned with the flow of a viscous plastic fluid. We choose a model of Bingham type taking into account inhomogeneous yield limit of the fluid, which is well-adapted in the description of landslides. After setting the general threedimensional problem, the blocking property is introduced. We then focus on necessary and sufficient conditions such that blocking of the fluid occurs. The anti-plane flow in twodimensional and onedimensional cases is considered. A variational formulation in terms of stresses is deduced. More fine properties dealing with local stagnant regions as well as local regions where the fluid behaves like a rigid body are obtained in dimension one.Mathematics Subject Classification. 49J40, 76A05.

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“…The yield strength corresponding to this limiting yield surface is t y ⋆ . This appendix outlines how to obtain the critical yield strengths (t y ⋆ ) given in section 3.4, which has been provided by Mosolov and Mjasnikov [1965, 1966, 1967 as part of their study of the variational form of the problem in equation (5).…”

Section: Discussionmentioning

confidence: 99%

Isothermal dynamics of channeled viscoplastic lava flows and new methods for estimating lava rheology

Robertson¹,

Kerr²

2012

J. Geophys. Res.

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[1] This study analyses the influence of a viscoplastic lava rheology on the dynamics of lava flows. Using a multigrid-based augmented Lagrangian scheme, we find a numerical solution for the flow of a Bingham fluid in a rectangular channel. The numerical results show that an internal viscoplastic rheology significantly modifies the velocity distribution within a lava flow through the development of plug regions whose size is determined by the magnitude of the yield strength. The flow rate, maximum surface velocity and central plug dimensions are determined as functions of the channel geometry and fluid rheology, and comparisons between these and several limiting analytical solutions confirm the accuracy of the numerical method used. The results are also compared to incorrect models which have been proposed previously in the literature. Several algorithms that extend the results to different sets of measured initial parameters are outlined; these calculate: (1) the flow depth when the fluid rheology (viscosity and yield strength) and downstream flow rate are given, (2) the flow depth when the fluid rheology and maximum downstream surface velocity are given, (3) the flow rate and fluid rheology when the flow depth, maximum surface velocity and surface plug width are given, and (4) the flow depth and rheology when the flow rate, maximum surface velocity and surface plug width are given. The use of these algorithms is demonstrated by considering the dynamics of a typical lava flow on Mount Etna, using measured rheological parameters and field observations.

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On stagnant flow regions of a viscous-plastic medium in pipes

Cited by 61 publications

References 0 publications

The Effect of Microstructure on Models for the Flow of a Bingham Fluid in Porous Media: One-Dimensional Flows

The Effect of Microstructure on Models for the Flow of a Bingham Fluid in Porous Media: One-Dimensional Flows

The blocking of an inhomogeneous Bingham fluid. Applications to landslides

Isothermal dynamics of channeled viscoplastic lava flows and new methods for estimating lava rheology

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