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Uplift of an elastic membrane by a viscous flow
Michael Berhanu1, Adrien Guérin1, Sylvain Courrech du Pont1
1MSC, Université Paris Diderot, CNRS (UMR 7057), 75013 Paris, France.
Physical Review. E
|May 22, 2019
Summary
Investigating elastic membrane uplift by viscous flow, this study found that a prewetting film model, despite its absence in experiments, accurately describes membrane deformation. This offers insights into fluid-membrane dynamics.
Area of Science:
- Fluid dynamics
- Materials science
- Elasticity
Background:
- Investigating the uplift of initially flat elastic membranes by upward viscous flow.
- Deformed membrane shape is governed by flow pressure, elastic response, and fluid weight.
- Fluid weight becomes significant with larger deformed areas.
Purpose of the Study:
- To experimentally investigate the uplift of elastic membranes by viscous flow.
- To compare the validity of two theoretical models in describing experimental observations.
- To determine the most appropriate model for the observed phenomena.
Main Methods:
- Experimental investigation of membrane deformation under viscous flow.
- Comparison of experimental data with theoretical models, including the prewetting film model and a fluid lag model.
- Consistency tests to evaluate model appropriateness.
Main Results:
- Experimental measurements were well-described by the prewetting film theory, even without prewetting films.
- Both the prewetting film model and the fluid lag model reasonably described the experiments.
- Consistency tests indicated the prewetting film model was more appropriate.
Conclusions:
- The prewetting film model provides a suitable framework for describing elastic membrane deformation by viscous flow, even in the absence of physical prewetting films.
- Microscale roughness may act as an equivalent regularizing scale.
- The fluid lag model offers an alternative but less consistent explanation for the observed phenomena.
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