Rheology

Reiner, Markus

doi:10.1007/978-3-662-43081-1_4

Cited by 27 publications

(31 citation statements)

References 8 publications

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“…The viscosity of normal (Newtonian) liquids decreases with increasing temperature at constant pressure and is independent of the velocity gradient and the magnitude of the shear stress for low values of y and T. Many liquids do not obey eq. (1), and in rheology these liquids are called anomalously viscous: non-Newtonian, viscous-plastic, pseudoplastic and viscouselastic (Reiner, 1958).…”

Section: Introductionmentioning

confidence: 99%

The Viscosity of Magmatic Liquids: Experiment, Generalized Patterns. A Model for Calculation and Prediction. Applications

Persikov¹

1991

Advances in Physical Geochemistry

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Section: Introductionmentioning

confidence: 99%

The Viscosity of Magmatic Liquids: Experiment, Generalized Patterns. A Model for Calculation and Prediction. Applications

Persikov¹

1991

Advances in Physical Geochemistry

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“…(8) Substituting Eqs. (8) into Eqs. (6) and (7) and using the replacement θ = π − α, we obtain the sought formulas for calculating the reflected solution:…”

Section: Determining the Fields Of Stresses And Displacements In An Ementioning

confidence: 99%

“…The following answer is proposed: As Bingham's rheological model of the fluid includes an elastic element represented in rheological schemes by a spring [8], the normal stresses on the drop surface in a quiescent matrix should be obtained by solving the problem of the elasticity theory, which was considered in Sec. 1:…”

Section: Analytical Approximationmentioning

confidence: 99%

Calculation of the force of interaction of two drops in a plastic medium

Pivovarov

2009

J Appl Mech Tech Phy

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In calculating the force of interaction of two spherical drops, the stress tensor component normal to the drop surface is taken from the solution of the corresponding problem of the elasticity theory, while the shear component is determined by the plastic properties of the medium. The results of the calculations performed are demonstrated to be in good agreement with experimental data on the character of drop motion and on the yield point of the medium surrounding the drops.Introduction. Stebnovskii [1], following his previous study [2], considered the behavior of drops of liquid paraffin, sunflower-seed oil, and industrial oil in an alcohol-water solution of uniform density. He found that, if the distance between two drops is of the order of their sizes, they approach each other until they merge into one drop, independent of the system scale. The experimental setup used in [1] was insulated from external force and heat effects. It was found in those experiments that the approach is observed only if both drops possess surface tension.Stebnovskii [3] also assumed that, at the initial stage of the process of drop approach, the ambient medium, which will be called the matrix as in [1], behaves as a solid that obeys Hooke's law. This assumption, however, does not explain the drop-approach mechanism, because the force acting on the drop from the side of the matrix is always zero by virtue of equations of equilibrium inside the drop and constant surface tension on the drop boundary. It is known from experiments, nevertheless, that water and, hence, the alcohol-water solution possess the yield point k 0 with the values in the interval from 10 −4 to 10 −3 Pa. The analysis performed in the present work shows that the absolute values of the shear stresses on the drop boundary cannot exceed the value of k 0 , whereas there are no constraints on the normal stresses. Therefore, the shear stresses have to be corrected, while the normal stresses should be retained as they were in considering the matrix as an elastic medium. Then, if the force induced by the normal stresses is sufficiently high to overcome the medium resistance due to shear stresses, then the drop starts moving (in this case, the equations of equilibrium inside the drop become incompatible, and they should be replaced by the equations of dynamics of the drop considered as an elastic solid). The force accelerating the drop acts until the drop covers a certain distance of the order of one molecule size. (This conclusion is confirmed by the estimates obtained in the present work.) After that, the molecular bonds, which made the matrix acquire the properties of a solid, are broken, some volume around the drop becomes "liquid," and the drop continues to move owing to inertia, gradually decelerating owing to medium resistance until it stops completely. After a certain time, the matrix on a certain part on the drop surface again becomes "solid," which induces a force acting on the drop. The process is repeated again.A method of calculating the force acting on the drop ...

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“…in bearings and gears which was the motivation for intensive studies in real systems and on physical models at various methods imposing the strain and shear in the liquid, for a review see Pernik 1966;Knapp et al 1970;Franc et al 2004;Caupin et al 2006. Much attention is therefore paid in the literature to cavitation in the field of tribology (cavitation wear) where this phenomenon is investigated under the combined aspect of solid-and fluid mechanics (Buravova et al 2011). As concluded by Reiner (1958), from a rheological point of view, there is rather a quantitative than a qualitative difference in liquids and solids. Joseph (1998) even applied the strength hypotheses of solid mechanics to describe cavitation in liquids.…”

Section: Introductionmentioning

confidence: 99%

Cavitation by spall fracture of solid walls in liquids

Mikulich

Brücker

2014

Exp Fluids

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This is the accepted version of the paper.This version of the publication may differ from the final published version. Experiments are carried out to investigate the cavitation process induced by the spill-off from material from a surface in a liquid environment. Therefore a simplified physical model was designed which allows the optical observation of the process next to a transparent glass rod submerged in a liquid where the rod is forced to fracture at a pre-defined groove. High-speed shadow-imaging and refractive index matching allow observation of the dynamics of the cavitation generation and cavitation bubble breakdown together with the flow. The results show that the initial phase of spill-off is a vertical lift-off of the rod from the surface that is normal to the direction of pendulum impact. A cavitation bubble is immediately formed during spill-off process and grows in size until lateral motion of the rod sets in. While the rod is transported away, the bubble shrinks into hyperbolic shape and finally collapses. This process is regarded as one contributing factor to the high efficiency of hydro-abrasive wear. Permanent repository link:

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Rheology

Cited by 27 publications

References 8 publications

The Viscosity of Magmatic Liquids: Experiment, Generalized Patterns. A Model for Calculation and Prediction. Applications

The Viscosity of Magmatic Liquids: Experiment, Generalized Patterns. A Model for Calculation and Prediction. Applications

Calculation of the force of interaction of two drops in a plastic medium

Cavitation by spall fracture of solid walls in liquids

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