Tuesday, January 26, 2016

fluid dynamics - Wavy stream of liquid


While pouring a liquid into a glass from a bottle, some streams have a wavy shape, like the one in the following photo:


example


What causes the stream to be of such a shape?



Answer




On the one hand, as the liquid is not being poured very slowly, there are different velocities in the incoming liquid: it's faster at the top, and, it seems, at the back. On the other hand, the cohesive forces (resulting in particular in surface tension at the surface of the flow) are sufficient here to prevent separation of some liquid from the rest — splattering. Then it is as if you had two masses going at different speeds (the liquid at the back and at the front) linked by some piece of rubber (cohesive forces) : they turn around one another.


The smooth appearance due to surface tension gives the final touch for a beautiful flow. You'll probably enjoy taking a tour in John Bush's gallery if you like this, http://math.mit.edu/~bush/?page_id=252. A very relevant example is the case of colliding viscous jets, pdf and below, which exemplifies beautifully the present discussion at low flow rate (left) but gives much more impressive results at higher flow rates! (right)


http://i.imgur.com/HCHZWo2.jpg


No comments:

Post a Comment

classical mechanics - Moment of a force about a given axis (Torque) - Scalar or vectorial?

I am studying Statics and saw that: The moment of a force about a given axis (or Torque) is defined by the equation: $M_X = (\vec r \times \...