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This study introduces a generalized lubrication theory for viscoelastic liquids in dip-coating flows. It reveals how normal stress effects influence contact line motion across various contact angles.

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Area of Science:

  • Rheology and Fluid Dynamics
  • Surface Science and Interfacial Phenomena

Background:

  • Dip-coating flows are crucial for understanding wetting and contact-line motion.
  • Traditional lubrication theory is limited to small contact angles due to interface slope restrictions.
  • Viscoelastic liquids introduce complex normal stress effects not captured by standard models.

Purpose of the Study:

  • To derive a generalized lubrication theory for viscoelastic liquids in dip-coating.
  • To incorporate normal stress effects using the second-order fluid model.
  • To analyze contact line motion for arbitrary contact angles.

Main Methods:

  • Development of a generalized lubrication theory based on viscous corner flow solutions.
  • Modeling viscoelastic liquids using the second-order fluid model.
  • Application of the theory to advancing and receding contact lines in dip-coating.

Main Results:

  • The derived theory accurately describes dip-coating flows for arbitrary contact angles.
  • Viscoelastic normal stresses significantly impact contact line dynamics.
  • The model highlights the role of normal stresses in both advancing and receding contact lines.

Conclusions:

  • The generalized lubrication theory extends the analysis of dip-coating to viscoelastic fluids and large contact angles.
  • Normal stress effects are critical for understanding the behavior of viscoelastic liquids at the contact line.
  • This work provides a new framework for studying complex interfacial flows involving viscoelasticity.