Scaling at the selective withdrawal transition
Itai Cohen, Sidney R. Nagel
Abstract
In the selective withdrawal experiment fluid is withdrawn through a tube with its tip suspended a distance S above an unperturbed two-fluid interface. At low withdrawal rates, Q, the interface forms a steady state hump and only the upper fluid is withdrawn.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.
Create a lesson
Related papers
FlowReconBench: Accuracy, calibration and cost of learned and classical flow reconstruction from sparse sensors
Nicolas Tricard, Linzheng Wang, Jason Chen et al.
Odd Capillarity
Nadia Bihari Padhan, Axel Voigt
Experimental evaluation of Kolmogorov's first similarity hypothesis for shear-dependent viscosity fluids
Luciano Hergenreder, Serge Simoëns, Wernher Brevis
Interscale energy transfer in a propeller-driven homogeneous and isotropic turbulence generation device
Luciano Hergenreder, Serge Simoëns, Cristián Escauriaza et al.
A Drift-Diffusion Approach for Pearson Type IV Heavy-Tail Distributions
Daniele Belardinelli, Simone Benella, Mirko Stumpo et al.
A Finite Element Model for Fluid--Poroelastic Structure Interaction with Dissipative Interface
Mohammad Jannesari, Francesco Costanzo