The Tibetan singing bowls give up their chaotic secrets.

The water-filled bowls, when rubbed with a leather-wrapped mallet, emit a haunting sound as they dance with water droplets.

The video shows that droplets can bounce on the water's surface.

A report in the journal could shed light on other fluid processes, such as fuel injection.

When a fluid such as water vibrates, constrained by a closed boundary like the edge of a singing bowl, it's known as a Faraday wave.

The bowl's edge begins to change shape as the rubbing reaches the point at which the bowl vibrates.

As the rubbing intensity increases, a range of interesting patterns can arise as the energy of this shape-shifting partly transfers to the water.

The water becomes unstable when there is a display of droplets and waves.

The video shows how waves build up, how they crash into one another, and how droplets fly into the air.

Under certain conditions, droplets can bounce repeatedly and skip on the surface of the water.

In 2009, John Bush from the Massachusetts Institute of Technology used a range of fluids to demonstrate the effect in videos on a Discovery Channel programme called Time Warp.

Professor Bush said that a woman named Rosie Warburton sent him an email saying that she had seen the same behavior in her Tibetan singing bowls.The study was inspired by this email.

Professor Bush said that the bowls were "odd by any standards, even to specialists in fluid dynamics such as ourselves".

Professor Bush and his co-author Denis Terwagne from the University of Liege in Belgium have developed a mathematical model for how the water behaves in the bowls.

The development of tiny fluid droplets is a concern for applications such as fuel injectors or perfume atomisers, so studies of this sort are potentially of broader interest.

Professor Bush said that "deducing robust criteria for droplet break-up is important in a number of engineering applications."The study was purely curiosity-driven.

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