The instability of water-mud interface in viscous two-layer flow with large viscosity contrast

Liu, Jiebin; Zhou, Jifu

doi:10.1063/2.1406207

Cited by 4 publications

(3 citation statements)

References 11 publications

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“…Indeed, twolayer flows of water and fluid mud are common in coastal areas and, as far as waterway building is concerned, predicting these flows behaviour is of significant importance. Liu [26] showed, through a temporal stability analysis, that increasing the viscosity ratio reduces the flow stability range, creates new unstable modes, and decreases the growth rate of Kelvin-Helmholtz instabilities. Another, more complete study of the same flow, performed by Harang [18], indicates that the thickness of the mixing layer grows when the viscosity ratio keeps increasing.…”

Section: Introductionmentioning

confidence: 99%

On the similarity of variable viscosity flows

et al. 2016

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Turbulent mixing is ubiquitous in both nature and industrial applications. Most of them concern different fluids, therefore with variable physical properties (density and/or viscosity). The focus here is on variable viscosity flows and mixing, involving density-matched fluids. The issue is whether or not these flows may be self-similar, or self-preserving. The importance of this question stands on the predictability of these flows; self-similar dynamical systems are easier tractable from an analytical viewpoint. More specifically, self-similar analysis is applied to the scale-by-scale energy transport equations, which represent the transport of energy at each scale and each point of the flow. Scale-by-scale energy budget equations are developed for inhomogeneous and anisotropic flows, in which the viscosity varies as a result of heterogeneous mixture or temperature variations. Additional terms are highlighted, accounting for the viscosity gradients, or fluctuations. These terms are present at both small and large scales, thus rectifying the common belief that viscosity is a small-scale quantity. Scale-by-scale energy budget equations are then adapted for the particular case of a round jet evolving in a more viscous host fluid. It is further shown that the condition of self-preservation is not necessarily satisfied in variable-viscosity jets. Indeed, the jet momentum conservation, as well as the constancy of the Reynolds number in the central region of the jet, cannot be satisfied simultaneously. This points to the necessity of considering less stringent conditions (with respect to classical, single-fluid jets) when analytically tackling these flows and reinforces the idea that viscosity variations must be accounted for when modelling these flows.

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Section: Introductionmentioning

confidence: 99%

On the similarity of variable viscosity flows

et al. 2016

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“…The dimensionless growth rate of the K-H instability was nearly independent of Reynolds number [18]. The dimensional growth rate is therefore proportional to the velocity difference and inversely proportional to the vorticity thickness [17]. The K-H mode has proven to be a generic instability of shear flow as the Reynolds number tends to infinity (page 116 in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…However, the hyperbolic tangent base flow functions that were adopted are an approximate solution of the NavierStokes equations. Recently, the exact solution of the first Stokes problem was chosen as the base flow for instability analysis [16,17]. The dimensionless growth rate of the K-H instability was nearly independent of Reynolds number [18].…”

Section: Introductionmentioning

confidence: 99%

Instability of the interface in two-layer flows with large viscosity contrast at small Reynolds numbers

Liu

Zhou

2016

Acta Mech. Sin.

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The Kelvin-Helmholtz instability is believed to be the dominant instability mechanism for free shear flows at large Reynolds numbers. At small Reynolds numbers, a new instability mode is identified when the temporal instability of parallel viscous two fluid mixing layers is extended to current-fluid mud systems by considering a composite error function velocity profile. The new mode is caused by the large viscosity difference between the two fluids. This interfacial mode exists when the fluid mud boundary layer is sufficiently thin. Its performance is different from that of the KelvinHelmholtz mode. This mode has not yet been reported for interface instability problems with large viscosity contrasts. These results are essential for further stability analysis of flows relevant to the breaking up of this type of interface.

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The effects of flocculation on the entrainment of fluid mud layer

Chen

Pan

et al. 2020

Estuarine, Coastal and Shelf Science

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The instability of water-mud interface in viscous two-layer flow with large viscosity contrast

Cited by 4 publications

References 11 publications

On the similarity of variable viscosity flows

On the similarity of variable viscosity flows

Instability of the interface in two-layer flows with large viscosity contrast at small Reynolds numbers

The effects of flocculation on the entrainment of fluid mud layer

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