The Kaye effect revisited

Collyer, A. A.; Fisher, Philip J.

doi:10.1038/261682a0

Cited by 13 publications

(17 citation statements)

References 2 publications

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“…It is now recognized that shear-thinning viscosity is a critical component of the Kaye effects, see e.g. Collyer and Fischer [12], Versluis et al [34], Binder and Landig [5]. Following Versluis et al [34], we adopt the model of Cross [13] in the rest of the paper…”

Section: Kaye Effectmentioning

confidence: 99%

“…The parameter β determining the width of the hyperbolic tangent filter (12) is defined to be β = min K∈T h K . This definition is used in the expression of the hyperbolic tangent filter (12), in the threshold of the approximate Heaviside function (42) and the approximate sign function (38), and in the refinement strategy (46)-(47). …”

Section: Numerical Parametersmentioning

confidence: 99%

“…This is the so-called Kaye effect as first observed by Kaye [24] in 1963. About 13 years after this phenomenon was first mentioned in the literature, Collyer and Fischer [12] revisited the experiment and suggested that the ability for the fluid to exhibit shear-thinning viscosity and elastic Email addresses: bonito@math.tamu.edu (Andrea Bonito), guermond@math.tamu.edu (Jean-Luc Guermond), shlee@math.tamu.edu (Sanghyun Lee) 1 Partially supported by the NSF grant DMS-1254618 and by award KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST) behavior are key ingredients for the bouncing to occur. Additional laboratory experiments performed by Versluis et al [34] and Binder and Landig [5] lead the authors of each team to propose a list of properties that the fluid should have for the Kaye effect to occur.…”

Section: Introductionmentioning

confidence: 99%

“…The field φ 0 is a regularized version of the distance function using the tanh cut-off filter (12). The divergence-free velocity field severely deforms the level-set until t = 2 and returns it to its initial shape at t = 4.…”

Section: Single Vortex: Large Deformationsmentioning

confidence: 99%

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Numerical simulations of bouncing jets

Bonito

Guermond

Lee

2015

Numerical Methods in Fluids

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Bouncing jets are fascinating phenomenons occurring under certain conditions when a jet impinges on a free surface. This effect is observed when the fluid is Newtonian and the jet falls in a bath undergoing a solid motion. It occurs also for non-Newtonian fluids when the jets falls in a vessel at rest containing the same fluid. We investigate numerically the impact of the experimental setting and the rheological properties of the fluid on the onset of the bouncing phenomenon. Our investigations show that the occurrence of a thin lubricating layer of air separating the jet and the rest of the liquid is a key factor for the bouncing of the jet to happen. The numerical technique that is used consists of a projection method for the Navier-Stokes system coupled with a level set formulation for the representation of the interface. The space approximation is done with adaptive finite elements. Adaptive refinement is shown to be very important to capture the thin layer of air that is responsible for the bouncing.

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Section: Kaye Effectmentioning

confidence: 99%

Section: Numerical Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Single Vortex: Large Deformationsmentioning

confidence: 99%

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Numerical simulations of bouncing jets

Bonito

Guermond

Lee

2015

Numerical Methods in Fluids

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“…The fascinating phenomenon of a leaping shampoo stream was first studied half a century ago by Kaye [1], followed by Collyer and Fisher [2]. More recent advances are due to Versluis et al [3], who managed to produce stable leaping by directing the jet onto an angled pool, showing up to five repeated leaps.…”

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confidence: 99%

Leaping shampoo glides on a lubricating air layer

Lee

Marston

et al. 2013

Phys. Rev. E

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When a stream of shampoo is fed onto a pool in one's hand, a jet can leap sideways or rebound from the liquid surface in an intriguing phenomenon known as the Kaye effect. Earlier studies have debated whether non-Newtonian effects are the underlying cause of this phenomenon, making the jet glide on top of a shear-thinning liquid layer, or whether an entrained air layer is responsible. Herein we show unambiguously that the jet slides on a lubricating air layer. We identify this layer by looking through the pool liquid and observing its rupture into fine bubbles. The resulting microbubble sizes suggest this air layer is of submicron thickness. This thickness estimate is also supported by the tangential deceleration of the jet during the rebounding.

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Mechanical Properties of Liquids

March

2003

Digital Encyclopedia of Applied Physics

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The Kaye effect revisited

Cited by 13 publications

References 2 publications

Numerical simulations of bouncing jets

Numerical simulations of bouncing jets

Leaping shampoo glides on a lubricating air layer

Mechanical Properties of Liquids

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