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Published on: May 9, 2021
Synchronization of two bubble trains in a viscous fluid: experiment and numerical simulation
Felipe Augusto Cardoso Pereira1, Eduardo Colli, José Carlos Sartorelli
1Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, Brazil.
Summary
We studied how two bubble streams interact in a fluid, finding complex synchronization patterns. These patterns depend on airflow and fluid height, with stronger coupling at greater heights.
Area of Science:
- Fluid dynamics
- Nonlinear dynamics
- Complex systems
Background:
- Investigating bubble dynamics in viscous fluids is crucial for understanding multiphase flow phenomena.
- Interactions between bubble streams can lead to complex emergent behaviors.
- Fluid circulation plays a significant role in bubble train dynamics.
Purpose of the Study:
- To analyze the interactions between two independent bubble trains in a viscous fluid.
- To map the parameter spaces governing bubble train synchronization.
- To understand the influence of airflow rates and fluid height on synchronization modes.
Main Methods:
- Experimental setup with two independently controlled air nozzles immersed in a viscous fluid.
- Systematic variation of air fluxes (Q(1), Q(2)) and solution height (H).
- Construction of parameter spaces to identify periodicity of attractors and synchronization modes.
- Numerical simulations using a coupled bubble growth model.
Main Results:
- Observed complex dynamics and multiple modes of phase synchronization between bubble trains.
- Synchronization patterns were mapped in (Q(1), Q(2)) and (Q(1), H) parameter spaces.
- Coupling strength between bubble trains increases with solution height.
- Experimental results were validated by numerical simulations.
Conclusions:
- Bubble train interactions exhibit rich nonlinear phenomena, including phase synchronization.
- Fluid height is a critical parameter influencing coupling strength and synchronization modes.
- A combined model of bubble growth and coupling effectively explains experimental observations.
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