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As-placed contact angles for sessile drops.

Rafael Tadmor1, Preeti S Yadav

  • 1Department of Chemical Engineering, Lamar University, Beaumont, TX 77710, USA. rafael.tadmor@lamar.edu

Journal of Colloid and Interface Science
|October 9, 2007
PubMed
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The as-placed contact angle of a liquid drop on a surface decreases with size due to hydrostatic pressure. Our theory predicts this angle based on drop size and material properties, aligning with experimental data.

Area of Science:

  • Surface Science
  • Fluid Dynamics
  • Materials Science

Background:

  • The as-placed contact angle (thetaAP) describes a drop's behavior upon placement.
  • Hydrostatic pressure in sessile drops influences thetaAP, causing it to decrease with increasing drop size.
  • Understanding thetaAP is crucial for applications involving liquid-solid interactions.

Purpose of the Study:

  • To develop a theoretical model predicting the as-placed contact angle (thetaAP) of sessile drops.
  • To establish thetaAP as a unique function of advancing contact angle (thetaA), drop size, and material properties.
  • To validate the theoretical prediction using experimental data and to calculate the thermodynamic equilibrium contact angle.

Main Methods:

  • Formulating a theoretical model for thetaAP based on physical principles.

Related Experiment Videos

  • Incorporating hydrostatic pressure effects related to drop size.
  • Utilizing material properties such as surface tensions and densities in the model.
  • Comparing theoretical predictions with existing and newly acquired experimental data.

    • Main Results:

    • The as-placed contact angle (thetaAP) was found to be a unique function of advancing contact angle (thetaA), drop size, and material properties.
    • The theoretical model demonstrated strong agreement with experimental observations.
    • The relationship between thetaAP and drop size allowed for the calculation of the thermodynamic equilibrium contact angle.

    Conclusions:

    • The developed theory accurately predicts the as-placed contact angle (thetaAP) of sessile drops.
    • Hydrostatic pressure plays a significant role in the observed decrease of thetaAP with drop size.
    • This work provides a method to determine the equilibrium contact angle from readily measurable parameters.