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Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
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Related Experiment Video

Updated: Dec 11, 2025

Film Control to Study Contributions of Waves to Droplet Impact Dynamics on Thin Flowing Liquid Films
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Film Control to Study Contributions of Waves to Droplet Impact Dynamics on Thin Flowing Liquid Films

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A thin-film model for droplet spreading on soft solid substrates.

Vasileios Charitatos1, Satish Kumar1

  • 1Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis, MN 55455, USA. kumar030@umn.edu.

Soft Matter
|August 18, 2020
PubMed
Summary
This summary is machine-generated.

Droplet spreading on soft solids depends on wettability. Softer substrates accelerate spreading for perfectly wetting droplets but decelerate it for partially wetting ones, impacting tumor biophysics and condensation control.

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Area of Science:

  • Soft Matter Physics
  • Fluid Dynamics
  • Biophysics

Background:

  • Droplet spreading on soft solids is crucial for applications like tumor biophysics and controlled condensation.
  • Understanding the interplay between fluid dynamics and substrate viscoelasticity is essential.

Purpose of the Study:

  • To investigate droplet spreading on linear viscoelastic solids using lubrication theory.
  • To analyze the influence of substrate properties (thickness, viscosity, modulus) and wettability on spreading dynamics.

Main Methods:

  • Application of lubrication theory and a disjoining-pressure/precursor-film model for the contact-line region.
  • Derivation and numerical solution of nonlinear evolution equations for liquid-air and liquid-solid interfaces.
  • Parametric studies to evaluate the effects of substrate properties and wettability.

Main Results:

  • Softer substrates enhance spreading for perfectly wetting droplets but impede it for partially wetting droplets.
  • Faster spreading of perfectly wetting droplets is linked to increased liquid-film thickness at the contact line (repulsive disjoining pressure).
  • Slower spreading of partially wetting droplets is attributed to reduced liquid-film thickness (attractive disjoining pressure).

Conclusions:

  • The study provides a model to differentiate the effects of substrate deformability and wettability on droplet spreading.
  • Model predictions for partially wetting droplets align with experimental observations.
  • The developed model offers a foundation for analyzing more complex scenarios, including multiple droplets and phase changes.