Marangoni-Stress-Driven "Solitonic" (Periodic) Wave Trains Rotating in an Annular Container during Heat Transfer

Area of Science:

• Fluid Dynamics
• Nonlinear Physics
• Surface Science

Background:

• Marangoni instability can induce oscillatory regimes, such as periodic wave trains, on liquid surfaces when heated from above.
• Previous studies have explored wave phenomena in fluid layers, but synchronization and nonlinear interactions in specific geometries remain areas of interest.

Purpose of the Study:

• To investigate the formation and behavior of periodic wave trains in a circular annular container.
• To analyze the phenomenon of wave synchronization and the characteristics of colliding wave trains.
• To explore the nonlinear interactions and potential solitonic properties of these waves.

Main Methods:

• Experimental setup in a circular annular container to study liquid layers heated from above.
• Observation and analysis of periodic wave trains under supercritical Marangoni-number conditions.
• Characterization of wave collisions, focusing on phase shifts and interaction dynamics.

Main Results:

• Successful induction of periodic wave trains at the liquid surface.
• Observation of two synchronized, counter-rotating wave trains at moderate supercritical Marangoni numbers.
• Detection of a negative phase shift during head-on wave collisions, indicating nonlinear behavior.

Conclusions:

• The study confirms the possibility of wave synchronization in this system.
• The observed negative phase shift during collisions provides evidence for the nonlinear interaction of the wave trains.
• The findings suggest that these periodic waves exhibit solitonic properties.