Spout States in the Selective Withdrawal of Immiscible Fluids through a Nozzle Suspended above a Two-Fluid Interface

The behaviour of the interface between two immiscible fluids of different density and viscosity in a centrifuge is investigated both analytically and experimentally. The study includes the interfacial shape and behaviour during both steady and transient operation of the centrifuge. The interface shape is investigated for rigid-body rotation and during slow steady acceleration or deceleration of the centrifuge. The dependence of the interface shape on time is investigated during a rapid spin-up to a slightly different value of the angular velocity, which then remains constant. Some aspects of interface stability are also reported.

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Coherent component of specular reflection and transmission at a randomly rough two‐fluid interface

The Journal of the Acoustical Society of America ◽

10.1121/1.380680 ◽

1975 ◽

Vol 58 (2) ◽

pp. 365-370 ◽

Cited By ~ 36

Author(s):

William A. Kuperman

Keyword(s):

Specular Reflection ◽

Fluid Interface ◽

Reflection And Transmission ◽

Coherent Component ◽

Two Fluid

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A THEORETICAL STUDY OF OSCILLATIONS OF TWO IMMISCIBLE FLUIDS IN A LIMITED TANK

Vestnik Tomskogo gosudarstvennogo universiteta Matematika i mekhanika ◽

10.17223/19988621/69/8 ◽

2021 ◽

pp. 97-113

Author(s):

Ko Ko Win ◽

◽

A.N. Temnov ◽

Keyword(s):

Differential Equations ◽

Nonlinear Oscillations ◽

Nonlinear Differential Equations ◽

Nonlinear Effects ◽

Immiscible Fluids ◽

Forced Oscillations ◽

Fluid Interface ◽

Response Characteristics ◽

Taylor Series Expansions ◽

Instability Regions

In the paper, the nonlinear oscillations of a two-layer fluid that completely fills a limited tank are theoretically studied. To determine any smooth function on the deflected interface, the Taylor series expansions are considered using the values of the function and its normal derivatives on the undisturbed interface of the fluids. Using two fundamental asymmetric harmonics, which are generated in two mutually perpendicular planes, the differential equations of nonlinear oscillations of the two-layer fluid interface are investigated. As a result, the frequency-response characteristics are presented and the instability regions of the forced oscillations of the two-layer fluid in the cylindrical tank are plotted, as well as the parametric resonance regions for different densities of the upper and lower fluids. The Bubnov-Galerkin method is used to plot instability regions for the approximate solution to nonlinear differential equations. At the final stage of the work, the nonlinear effects resulting from the interaction of fluids with a rigid tank that executes harmonic oscillations at the interface of the fluids are theoretically studied.

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Verification of a front-tracking model of two-fluid interface Kelvin-Helmholtz instability by study of travelling waves

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.1024 ◽

2007 ◽

Vol 24 (11) ◽

pp. 1171-1181 ◽

Cited By ~ 6

Author(s):

Mingming Tong ◽

David J. Browne

Keyword(s):

Travelling Waves ◽

Front Tracking ◽

Fluid Interface ◽

Helmholtz Instability ◽

Tracking Model ◽

Two Fluid

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Buoyancy flow at a two-fluid interface in a porous medium: Analytical studies

Water Resources Research ◽

10.1029/wr024i004p00493 ◽

1988 ◽

Vol 24 (4) ◽

pp. 493-506 ◽

Cited By ~ 13

Author(s):

Göran Hellström ◽

Chin-Fu Tsang ◽

Johan Claesson

Keyword(s):

Porous Medium ◽

Fluid Interface ◽

Buoyancy Flow ◽

Analytical Studies ◽

Two Fluid

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Two-Fluid Electroosmotic Flow in Microchannels

ASME 2008 First International Conference on Micro/Nanoscale Heat Transfer, Parts A and B ◽

10.1115/mnht2008-52054 ◽

2008 ◽

Author(s):

T. N. Wong ◽

Y. Gao ◽

C. Wang ◽

C. Yang ◽

N. T. Nguyen ◽

...

Keyword(s):

Electric Field ◽

Applied Electric Field ◽

Electroosmotic Flow ◽

Viscosity Ratio ◽

Experimental Investigations ◽

Fluid Interface ◽

Surface Charges ◽

Interface Position ◽

Proposed Model ◽

Two Fluid

This paper presents theoretical and experimental investigations of the pressure-driven two-liquid flow in microchannels with the electroosmosis effect. For a fully developed, steady state, laminar flow of two liquids combined the pressure gradient, electroosmosis and surface charges at the liquid-liquid interface, we have derived analytical solutions that relate the velocity profiles and flow rates to the liquid holdup, the aspect ratio of the microchannel, the viscosity ratio of the two liquids and the externally applied electric field. It was shown that adjusting the externally applied electric field could control the fluid interface position precisely. The prediction from the proposed model compares very well with measured data.

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