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Wrinkling of fluid deformable surfaces.
Veit Krause1, Axel Voigt1,2,3
1Institute of Scientific Computing, TU Dresden, 01062 Dresden, Germany.
Journal of the Royal Society, Interface
|July 31, 2024
Summary
Fluid deformable surfaces exhibit wrinkling instabilities, forming periodic structures. Hydrodynamic theory reveals scaling laws for wrinkle formation and coarsening, with suppression possible at high Reynolds numbers.
Area of Science:
- Soft Matter Physics
- Biophysics
- Fluid Dynamics
Background:
- Wrinkling instabilities in elastic sheets create periodic structures.
- Viscosity influences dynamic wrinkling processes.
- Fluid deformable surfaces, modeling biomembranes, possess in-plane viscosity and out-of-plane elasticity.
Purpose of the Study:
- To explore wrinkle formation and coarsening in fluid deformable surfaces using hydrodynamic theory.
- To investigate the impact of volume reduction and area increase on wrinkling.
- To determine scaling laws for wrinkling phenomena.
Main Methods:
- Numerical exploration based on hydrodynamic theory.
- Simulating continuous reduction of enclosed volume.
- Simulating continuous increase of surface area.
Main Results:
- Wrinkle formation and coarsening show similar results for volume reduction and area increase.
- A scaling law for the wavenumber was derived across various viscosities and rates of change.
- Wrinkling can be suppressed at high Reynolds numbers, leading to global shape changes.
Conclusions:
- Hydrodynamic theory effectively models wrinkling in fluid deformable surfaces.
- Scaling laws provide insights into wrinkle dynamics.
- Surface hydrodynamics dictate shape changes under specific conditions, deviating from simple wrinkling.
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