Kaye effect explained

The Kaye effect is a property of complex liquids which was first described by the British engineer Alan Kaye in 1963.[1]

While pouring one viscous mixture of an organic liquid onto a surface, the surface suddenly spouted an upcoming jet of liquid which merged with the downgoing one.

This phenomenon has since been discovered to be common in many non-Newtonian liquids (liquids with a shear stress dependent viscosity or viscoelastic properties). Common household liquids in this category are liquid hand soaps, shampoos and non-drip paint. The effect usually goes unnoticed, however, because it seldom lasts more than about 300 milliseconds. The effect can be sustained by pouring the liquid onto a slanted surface, preventing the outgoing jet from intersecting the downward one (which tends to end the effect).

Whilst it was long thought to occur due to a shear-thinning slip layer,[2] recent studies have shown through high-speed videos[3] and experiments in a vacuum chamber[4] that an extremely thin layer of air (approximately 1000 times thinner than the jet diameter) is entrained, which acts as a lubricant and supports the sliding jet.

The current theory is that viscoelasticity is key. In a jet viscoelastic fluid, a portion of the energy of deformation as the jet falls is recoverable, and this reduces the force required to support the leaping jet, enabling more air to be entrained.[4]

References

  1. Kaye . A. . A Bouncing Liquid Stream . 10.1038/1971001a0 . Nature . 197 . 4871 . 1001–1002 . 1963 . 1963Natur.197.1001K . 4265638 .
  2. Versluis . M . Blom . C . van der Meer . D . van der Weele . K . Lohse . D . 2 . Leaping shampoo and the stable Kaye effect . 10.1088/1742-5468/2006/07/P07007 . Journal of Statistical Mechanics: Theory and Experiment . 2006 . 7 . P07007 . 2006. physics/0603183 . 119096147 .
  3. Lee . S . Li . E . Marston . J . Bonito . A . Thoroddsen . S . 2 . Leaping shampoo glides on a lubricating air layer . 10.1103/PhysRevE.87.061001 . Physical Review E . 87 . 6 . 061001 . 2013. 23848618 . 2013PhRvE..87f1001L . 1969.1/185287 . free .
  4. King . J . Lind . S . The Kaye effect: New experiments and a mechanistic explanation . 10.1016/j.jnnfm.2019.104165 . Journal of Non-Newtonian Fluid Mechanics . 273 . 104165 . 2019. free .

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