Related Concept Videos
Boundary Layer Characteristics
Viscosity
The SI unit of viscosity is...
Laminar and Turbulent Flow
Steady, Laminar Flow Between Parallel Plates
Surface Tension of Fluid
Surface tension varies with...
Rise of Liquid in a Capillary Tube
You might also read
Related Articles
Articles linked to this work by shared authors, journal, and citation graph.
Dynamic and Equilibrium Contribution of Nematic Order in Wetting and Contact Angles.
Dynamic contact angles in oil-aqueous polymer solutions.
Stability of two-dimensional growth of a packed body of proteins on a solid surface.
Related Experiment Video
Updated: Jun 3, 2026

Film Control to Study Contributions of Waves to Droplet Impact Dynamics on Thin Flowing Liquid Films
Published on: August 18, 2018
Labyrinthine instability in thin liquid films.
1Chemical and Biological Engineering, Missouri University of Science and Technology, Rolla, MO 65409-1230, USA. neogi@mst.edu
Thin liquid films break down into wavy patterns when reaching a critical thickness. This study models wavy instability using magnetic film methods, finding satisfactory agreement with experimental liquid crystal data.
Area of Science:
- Physics
- Materials Science
- Physical Chemistry
Background:
- Thin liquid films on solid surfaces can exhibit complex breakdown patterns.
- Wavy instability is a phenomenon observed during the breakdown of such films.
- This instability shares similarities with labyrinthine instability in magnetic films.
Purpose of the Study:
- To model and understand the wavy instability in thin liquid films.
- To compare the wavy instability in liquid films with labyrinthine instability in magnetic films.
- To derive characteristic length scales and validate with experimental data.
Main Methods:
- Modeling the system using procedures adapted from magnetic film studies.
- Decomposing the wavy instability pattern into equilibrium thick-thin and thin-thin film configurations.
- Minimizing free energy to derive expressions for system length scales.
- Performing stability analysis.
Main Results:
- The wavy instability pattern was successfully modeled as a coexistence of thick-thin and thin-thin films.
- Expressions for characteristic length scales of the system were derived.
- Model predictions showed satisfactory agreement with experimental results for nematic liquid crystals.
- Equilibrium film thicknesses, including those with non-zero capillary pressure, were accurately predicted.
Conclusions:
- The free energy minimization approach provides a robust framework for understanding thin film breakdown.
- The proposed tiled structure model effectively explains the labyrinthine form of wavy instability.
- The study validates the applicability of magnetic system modeling techniques to liquid film instabilities.

