Viscous mechanism for Leidenfrost propulsion on a ratchet

Dupeux, Guillaume; Merrer, Marie Le; Lagubeau, Guillaume; Clanet, Christophe; Hardt, Steffen; Quéré, David

doi:10.1209/0295-5075/96/58001

Cited by 100 publications

(120 citation statements)

References 12 publications

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“…While the pumping direction is not explicitly noted in the report, a reference in Dupeux et al (2011) indicates that the net transport of fluid in Thiria & Zhang's experiment is in the +x direction if the sawteeth are oriented as in figure 2. A private communication with Professor R. Camassa seems to confirm the author's interpretation of the pumping direction in the experiment.…”

Section: J Yumentioning

confidence: 96%

Fluid ratcheting by oscillating channel walls with sawteeth

2014

J. Fluid Mech.

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A laboratory experiment shows that fluid can be pumped from one end to another in a narrow channel whose sawtooth walls vibrate transversely opposite to each other. The phenomenon is referred to as ratcheting fluid. Inspired by this, we put forward here a theory describing the rectified steady flow, and the net directional pumping. In a conformally transformed plane, the induced steady streaming in the Stokes boundary layer of the oscillatory flow is analysed, elucidating the driving mechanism that is due to the nonlinearity and viscosity. The solution of the stream function is given, showing the complex spatial structure of the induced steady flow and its spatial average that is related to the directional pumping. Whereas the wall sawtooth shape is the primary source of asymmetry, the difference in entrance and exit flow conditions due to the geometries at channel ends is found to be a secondary source to break the left-right symmetry of the system. This latter can affect the net directional transport of fluid, in particular in short channels with a small number of sawteeth. Various influences on the net pumping rate are analysed.

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Section: J Yumentioning

confidence: 96%

Fluid ratcheting by oscillating channel walls with sawteeth

2014

J. Fluid Mech.

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“…The vapour leaks out asymmetrically from under the droplet due to the inherent asymmetry of the surface texture (figure 3). The resulting viscous forces entrain the droplet in the same direction, thus driving the droplet over the steps in the saw-tooth profile against gravity [29][30][31].…”

Section: Vibration and Patterns For Propulsion In Water Flowmentioning

confidence: 99%

Vibrations and spatial patterns in biomimetic surfaces: using the shark-skin effect to control blood clotting

Ramachandran

Maani

Rayz

et al. 2016

Phil. Trans. R. Soc. A.

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We study the effect of small-amplitude fast vibrations and small-amplitude spatial patterns on various systems involving wetting and liquid flow, such as superhydrophobic surfaces, membranes and flow pipes. First, we introduce a mathematical method of averaging the effect of small spatial and temporal patterns and substituting them with an effective force. Such an effective force can change the equilibrium state of a system as well as a phase state, leading to surface texture-induced and vibration-induced phase control. Vibration and patterns can effectively jam holes in vessels with liquid, separate multi-phase flow, change membrane properties, result in propulsion and locomotion and lead to many other multi-scale, nonlinear effects including the shark-skin effect. We discuss the application of such effects to blood flow for novel biomedical 'haemophobic' applications which can prevent blood clotting and thrombosis by controlling the surface pattern at a wall of a vessel (e.g. a catheter or stent).This article is part of the themed issue 'Bioinspired hierarchically structured surfaces for green science'.

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“…Due to the inherent asymmetry of the surface texture, the vapor leaks out asymmetrically from under the droplet, causing a net directional flow of vapor. The resultant viscous forces entrain the droplet in the same direction (Figure 5b) [33][34][35]. The self-propulsion effect has potential application, such as in a sublimation heat engine [36].…”

Section: Rough Solidmentioning

confidence: 99%

Vibrations and Spatial Patterns Change Effective Wetting Properties of Superhydrophobic and Regular Membranes

Ramachandran

2016

Biomimetics

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Small-amplitude fast vibrations and small surface micropatterns affect properties of various systems involving wetting, such as superhydrophobic surfaces and membranes. We review a mathematical method of averaging the effect of small spatial and temporal patterns. For small fast vibrations, this method is known as the method of separation of motions. The vibrations are substituted by effective force or energy terms, leading to vibration-induced phase control. A similar averaging method can be applied to surface micropatterns leading surface texture-induced phase control. We argue that the method provides a framework that allows studying such effects typical to biomimetic surfaces, such as superhydrophobicity, membrane penetration and others. Patterns and vibration can effectively jam holes and pores in vessels with liquid, separate multi-phase flow, change membrane properties, result in propulsion, and lead to many other multiscale, non-linear effects. Here, we discuss the potential application of these effects to novel superhydrophobic membranes.

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Viscous mechanism for Leidenfrost propulsion on a ratchet

Cited by 100 publications

References 12 publications

Fluid ratcheting by oscillating channel walls with sawteeth

Fluid ratcheting by oscillating channel walls with sawteeth

Vibrations and spatial patterns in biomimetic surfaces: using the shark-skin effect to control blood clotting

Vibrations and Spatial Patterns Change Effective Wetting Properties of Superhydrophobic and Regular Membranes

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