Scaling at the selective withdrawal transition

Details Scaling at the selective withdrawal transition Scaling at the selective withdrawal transition

2002-01-16

arxiv.org/abs/physics/0201036v1

Physical Review Letters 88 (7): Art. No. 074501 Feb 18 2002

Physics

Fluid Dynamics

11 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.88.074501

In the selective withdrawal experiment fluid is withdrawn through a tube with its tip suspended a distance S above an unperturbed two-fluid interface. At low withdrawal rates, Q, the interface forms a steady state hump and only the upper fluid is withdrawn. When Q is increased (or S decreased), the interface undergoes a transition so that the lower fluid is entrained with the upper one, forming a thin steady-state spout. Near this discontinuous transition the hump curvature becomes very large and displays power-law scaling behavior. This scaling is used to show that steady-state profiles for humps at different flow rates and tube heights can all be scaled onto a single similarity profile.

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