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Updated: Jul 19, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Regular surface patterns on Rayleigh-Taylor unstable evaporating films heated from below
Michael Bestehorn1, Domnic Merkt
1Lehrstuhl für Theoretische Physik II, Brandenburgische Technische Universität, Erich-Weinert-Strasse 1, 03046-Cottbus, Germany.
Evaporation of a thin liquid film on a cooled surface can create regular hexagonal surface patterns. This contrasts with uncontrolled pattern coarsening observed without evaporation, suggesting evaporation for surface structuring.
Area of Science:
- Physics of thin films
- Surface pattern formation
- Fluid dynamics
Background:
- Thin liquid films with free surfaces are common in nature and industry.
- Without external control, such films often exhibit pattern coarsening or rupture over time.
- Understanding surface dynamics is crucial for applications like microfabrication and coatings.
Purpose of the Study:
- To investigate the effect of evaporation on the surface pattern formation of a thin liquid film.
- To explore the potential of using evaporation for controlled surface structuring.
- To analyze the emergence of regular patterns under specific conditions.
Main Methods:
- Theoretical study of a thin liquid film on a cooled horizontal substrate.
- Analysis of surface behavior under conditions of equilibrium with its own vapor.
- Estimation of finite wavelength using a simplified Cahn-Hilliard equation.
Main Results:
- Regular surface patterns in the form of long-wave hexagons were observed.
- These patterns possess a well-defined lateral length scale.
- Evaporation prevents the rupture and coarsening typically seen in non-evaporating films.
Conclusions:
- Evaporation is a viable mechanism for inducing regular surface structuring in thin liquid films.
- The observed hexagonal patterns offer a method for controlled microstructuring.
- Further analysis using the Cahn-Hilliard equation provides insights into the characteristic length scale.
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