Scaling at the Selective Withdrawal Transition through a Tube Suspended above the Fluid Surface

Itai Cohen, Sidney R. Nagel
2002 Physical Review Letters  
In the selective withdrawal experiment fluid is withdrawn through a tube with its tip suspended a distance S above an unperturbed two-fluid interface. At low withdrawal rates, Q, the interface forms a steady state hump and only the upper fluid is withdrawn.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
more » ... ecomes 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.
doi:10.1103/physrevlett.88.074501 pmid:11863901 fatcat:hiotxavdmfb4ppspypsf52t2pu