Effects of otolith geometry on steady streaming flows in the fish ear

AbstractSteady streaming flow from oscillating sessile bubbles at walls is the centrepiece of many microstreaming experiments. A complete asymptotic theory of the flow is developed, requiring only the oscillatory driving frequency and material parameters as input, and properly accounting for bubble and wall boundary conditions. It is shown that mixed-mode streaming of neighbouring bubble oscillation modes is responsible for the robustness of the generic ‘fountain’ vortex pair flow pattern, and that the pattern reverses for high frequencies when wall-induced streaming becomes dominant. The far-field flow and its dependence on control parameters are in agreement with experimental data and can be understood considering just a few asymptotic coefficients.

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Steady streaming flows near spheroids oscillated at multiple frequencies

Experiments in Fluids ◽

10.1007/s00348-008-0479-3 ◽

2008 ◽

Vol 45 (2) ◽

pp. 295-307 ◽

Cited By ~ 9

Author(s):

Charlotte W. Kotas ◽

Minami Yoda ◽

Peter H. Rogers

Keyword(s):

Steady Streaming ◽

Multiple Frequencies ◽

Streaming Flows

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LDA measurements of steady streaming flows of Newtonian and viscoelastic fluids

Experiments in Fluids ◽

10.1007/bf00190594 ◽

1995 ◽

Vol 20 (1) ◽

pp. 21-28 ◽

Cited By ~ 2

Author(s):

D. Vlassopoulos ◽

W. R. Schowalter

Keyword(s):

Viscoelastic Fluids ◽

Steady Streaming ◽

Streaming Flows

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Three-dimensional streaming flow in confined geometries

Journal of Fluid Mechanics ◽

10.1017/jfm.2015.336 ◽

2015 ◽

Vol 777 ◽

pp. 408-429 ◽

Cited By ~ 14

Author(s):

Bhargav Rallabandi ◽

Alvaro Marin ◽

Massimiliano Rossi ◽

Christian J. Kähler ◽

Sascha Hilgenfeldt

Keyword(s):

Time Scales ◽

Vortex Motion ◽

Three Dimensional ◽

Two Dimensional ◽

Hamiltonian Description ◽

Steady Streaming ◽

Dimensional Flow ◽

Time Flow ◽

Two Dimensional Flow ◽

Streaming Flows

Steady streaming vortex flow from microbubbles has been developed into a versatile tool for microfluidic sample manipulation. For ease of manufacture and quantitative control, set-ups have focused on approximately two-dimensional flow geometries based on semi-cylindrical bubbles. The present work demonstrates how the necessary flow confinement perpendicular to the cylinder axis gives rise to non-trivial three-dimensional flow components. This is an important effect in applications such as sorting and micromixing. Using asymptotic theory and numerical integration of fluid trajectories, it is shown that the two-dimensional flow dynamics is modified in two ways: (i) the vortex motion is punctuated by bursts of strong axial displacement near the bubble, on time scales smaller than the vortex period; and (ii) the vortex trajectories drift over time scales much longer than the vortex period, forcing fluid particles onto three-dimensional paths of toroidal topology. Both effects are verified experimentally by quantitative comparison with astigmatism particle tracking velocimetry (APTV) measurements of streaming flows. It is further shown that the long-time flow patterns obey a Hamiltonian description that is applicable to general confined Stokes flows beyond microstreaming.

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Steady streaming flows in viscoelastic liquids

Journal of Non-Newtonian Fluid Mechanics ◽

10.1016/j.jnnfm.2019.07.007 ◽

2019 ◽

Vol 271 ◽

pp. 104143 ◽

Cited By ~ 2

Author(s):

Giridar Vishwanathan ◽

Gabriel Juarez

Keyword(s):

Steady Streaming ◽

Streaming Flows ◽

Viscoelastic Liquids

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Steady streaming within a periodically rotating sphere

Journal of Fluid Mechanics ◽

10.1017/s002211200800222x ◽

2008 ◽

Vol 608 ◽

pp. 71-80 ◽

Cited By ~ 21

Author(s):

RODOLFO REPETTO ◽

JENNIFER H. SIGGERS ◽

ALESSANDRO STOCCHINO

Keyword(s):

Series Expansion ◽

Oscillation Frequency ◽

Small Amplitude ◽

Quantitative Agreement ◽

Torsional Oscillations ◽

Rotating Sphere ◽

Good Quantitative Agreement ◽

Steady Streaming ◽

Theory And Experiments ◽

Streaming Flow

We consider the flow in a spherical chamber undergoing periodic torsional oscillations about an axis through its centre, and analyse it both theoretically and experimentally. We calculate the flow in the limit of small-amplitude oscillations in the form of a series expansion in powers of the amplitude, finding that at second order, a steady streaming flow develops consisting of two toroidal cells. This streaming behaviour is also observed in our experiments. We find good quantitative agreement between theory and experiments, and we discuss the dependence of the steady streaming behaviour as both the oscillation frequency and amplitude are varied.

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Numerical Solutions of the Viscous Flow Equations for a Class of Closed Flows

Journal of the Royal Aeronautical Society ◽

10.1017/s0368393100081463 ◽

1965 ◽

Vol 69 (658) ◽

pp. 714-718 ◽

Cited By ~ 53

Author(s):

Ronald D. Mills

Keyword(s):

Moving Boundary ◽

Numerical Solutions ◽

Stokes Equations ◽

Fluid Motion ◽

Navier Stokes ◽

Steady Flows ◽

Flow Equations ◽

Steady Streaming ◽

Difference Formula ◽

Surface Passing

The Navier-Stokes equations are solved iteratively on a small digital computer for the class of flows generated within a rectangular “cavity” by a surface passing over its open end. Solutions are presented for depth/breadth ratios ƛ=0.5 (shallow), 10 (square), 20 (deep) and Reynolds number 100. Flow photographs ore obtained which largely confirm the predicted flows. The theoretical velocity profiles and pressure distributions through the centre of the vortex in the square cavity are calculated.In an appendix an improved finite difference formula is given for the vorticity generated at a moving boundary.Since Thorn began his pioneering work some thirty-five years ago the number of numerical solutions which have been obtained for the equations of incompressible viscous fluid motion remains small (see bibliographies of Thom and Apelt, Fromm). The known solutions are principally for steady streaming flows, although two methods have now been used with success for non-steady flows (Payne jets and Fromm flow past obstacles). By contrast this paper is concerned with the class of closed flows generated in a rectangular region of varying depth/breadth ratio by a surface passing over an open end. This problem has been considered for a number of reasons.

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Effect of steady streaming on the flow of micropolar fluid through a contricted annulus

10.1063/1.4711189 ◽

2012 ◽

Author(s):

D. Srikanth ◽

D. Srinivasacharya

Keyword(s):

Micropolar Fluid ◽

Steady Streaming

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Numerical and Experimental Analyses of Three- Dimensional Unsteady Flow around a Micro-Pillar Subjected to Rotational Vibration

Micromachines ◽

10.3390/mi9120668 ◽

2018 ◽

Vol 9 (12) ◽

pp. 668 ◽

Cited By ~ 1

Author(s):

Kanji Kaneko ◽

Takayuki Osawa ◽

Yukinori Kametani ◽

Takeshi Hayakawa ◽

Yosuke Hasegawa ◽

...

Keyword(s):

Flow Field ◽

Moving Boundary ◽

Three Dimensional ◽

Steady Streaming ◽

Micro Piv ◽

Piv Measurement ◽

Image Velocimetry ◽

Measurement Tools ◽

Rotational Vibration ◽

Induced Flow

The steady streaming (SS) phenomenon is gaining increased attention in the microfluidics community, because it can generate net mass flow from zero-mean vibration. We developed numerical simulation and experimental measurement tools to analyze this vibration-induced flow, which has been challenging due to its unsteady nature. The validity of these analysis methods is confirmed by comparing the three-dimensional (3D) flow field and the resulting particle trajectories induced around a cylindrical micro-pillar under circular vibration. In the numerical modeling, we directly solved the flow in the Lagrangian frame so that the substrate with a micro-pillar becomes stationary, and the results were converted to a stationary Eulerian frame to compare with the experimental results. The present approach enables us to avoid the introduction of a moving boundary or infinitesimal perturbation approximation. The flow field obtained by the micron-resolution particle image velocimetry (micro-PIV) measurement supported the three-dimensionality observed in the numerical results, which could be important for controlling the mass transport and manipulating particulate objects in microfluidic systems.

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