Nonsteady-state flow of a viscoplastic medium in a plane channel

Makarov, A. M.; Жданова, Л А; Polozova, O. N.

doi:10.1007/bf00838379

Cited by 7 publications

(2 citation statements)

References 3 publications

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“…Approximate numerical methods for one-dimensional unsteady shear flows have been developed by Makarov et al [1974] and Makarov and Sal'nikov [1972]. But the recent survey by Bird et al [1983] shows a preponderance of steady flow theories.…”

Section: One Of the Important Effects Of A Muddy Bottom Ismentioning

confidence: 99%

A Bingham‐Plastic Model for a muddy seabed under long waves

Mei¹,

Liu²

1987

J. Geophys. Res.

105

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The dynamics of cohesive mud under wave action is important to the geological processes along some coastlines. Because of the complex rheological properties there have been vastly different models for predicting the effect of mud on wave attenuation. This paper focuses on a non‐Newtonian behavior of highly concentrated mud, whereby shearing strain occurs only if the shear stress exceeds a certain threshold called the yield stress. The wave‐induced motion in a thin mud layer beneath a clear water layer is studied. There are circumstances in which the yield stress is dominant and acts like a Coulomb friction. Mud motion can change from continuous to intermittent as the wave attenuates. The effects of the non‐Newtonian behavior on wave damping are compared to other more common causes of dissipation.

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Section: One Of the Important Effects Of A Muddy Bottom Ismentioning

confidence: 99%

A Bingham‐Plastic Model for a muddy seabed under long waves

Mei¹,

Liu²

1987

J. Geophys. Res.

105

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“…C . Mei Sal'nikov (1973) and Makarov, Zhdanova & Plolzova (1974). But the recent survej by Bird, Dai & Yarusso (1983) shows a preponderance of steady flow solutions.…”

Section: Introductionmentioning

confidence: 99%

Slow spreading of a sheet of Bingham fluid on an inclined plane

1989

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To study the dynamics of fluid mud with a high concentration of cohesive clay particles, we present a theory for a thin sheet of Bingham-plastic fluid flowing slowly on an inclined plane. The physics is discussed on the approximate basis of the lubrication theory. Because of the yield stress, the free surface need not be horizontal when the Bingham fluid is in static equilibrium, nor parallel to the plane bed when in steady flow. We then show that there is a variety of gravity currents that can advance at a constant speed and with the same profile. Experimental confirmation of one type is presented. By solving a nonlinear partial differential equation, transient flows due either to a steady upstream discharge or to the sudden release of a finite fluid mass on another fluid layer are studied. In the first case there is a mud front which ultimately propagates as a constant speed as a steady gravity current. In the second case, when the ambient layer is sufficiently shallow that there is no initial motion, the flow induced by the new fluid can terminate after the disturbance has travelled a finite distance. The extent of the final spread is examined. Disturbances due to an external pressure travelling parallel to the free surface are also examined. It is found in particular that a travelling localized pulse of pressure gradient not only generates a localized mud disturbance which travels along with the forcing pressure, but further leaves behind a permanent footprint.

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