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Related Experiment Video

Updated: May 24, 2026

Synthesis of Hydrogels with Antifouling Properties As Membranes for Water Purification

Synthesis of Hydrogels with Antifouling Properties As Membranes for Water Purification

Published on: April 7, 2017

Fluid flow beneath a semipermeable membrane during drying processes.

Maurice J Blount¹, Michael J Miksis, Stephen H Davis

¹Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, Illinois 60208, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 10, 2012

Summary

This summary is machine-generated.

This study models drying processes involving semipermeable membranes and liquid layers. It reveals how membrane wrinkling coarsens and how clamped membranes adapt asymmetric shapes during water loss.

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Area of Science:

Physical Chemistry
Materials Science
Fluid Dynamics

Background:

Drying processes involve complex interactions between membranes and underlying liquids.
Water transport across semipermeable membranes is driven by gradients.
Understanding membrane dynamics is crucial for applications in material science and engineering.

Purpose of the Study:

To investigate the dynamic interactions between semipermeable membranes and liquid layers during drying.
To model the effects of water transport, membrane properties, and fluid flow on membrane shape.
To analyze the equilibrium shapes and bifurcation structures of membranes under varying conditions.

Main Methods:

Formulation of a mathematical model using a long-wave approximation.
Inclusion of membrane incompressibility, bending stiffness, and viscous stresses.
Application of the model to study desiccation of sessile vesicles and blisters on laminated substrates.

Main Results:

Demonstrated coarsening of membrane wrinkles to reduce their frequency.
Observed favored asymmetric membrane shapes when clamped symmetrically with a non-zero angle.
Characterized equilibrium membrane shapes and their bifurcation structures.

Conclusions:

The model provides insights into the mechanical behavior of membranes during drying.
Membrane shape evolution is predictable based on concentration gradients and mechanical properties.
Findings are relevant for understanding and designing systems involving drying membranes.