Density Oscillator: Analysis of Flow Dynamics and Stability


Abstract

Two open containers filled with fluids of different density and connected by a vertical capillary tube can approach their thermodynamical equilibrium via an oscillatory flow. The temporal evolution of flow velocities was measured quantitatively. Data on the critical values determining the flow reversal are extracted yielding a simple dependence of the critical level of heavy fluid as a function of the density ratio and the length of the capillary. A novel theoretical description of the system is presented which is based on a one-fluid model and a steady-state approximation for a two-dimensional flow. Theoretical results are in good agreement with the experimental data.


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