Scaling dependence on the fluid viscosity ratio in the selective withdrawal transition

Details Scaling dependence on the fluid viscosity ratio in the selective withdrawal transition Scaling dependence on the fluid viscosity ratio in the selective withdrawal transition

2002-01-16

arxiv.org/abs/physics/0201037v1

Phys. Rev. E 70, 026302 (2004)

Physics

Fluid Dynamics

33 Pages, 61 figures, 1 table

Scientific paper

10.1103/PhysRevE.70.026302

In the selective withdrawal experiment fluid is withdrawn through a tube with its tip suspended a distance S above a two-fluid interface. At sufficiently low withdrawal rates, Q, the interface forms a steady state hump and only the upper fluid is withdrawn.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 transition the hump curvature becomes very large and displays power-law scaling behavior. This scaling allows for steady-state hump profiles at different flow rates and tube heights to be scaled onto a single similarity profile. I show that the scaling behavior is independent of the viscosity ratio.

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