Which microscopic physics removes the moving contact-line stress singularity? · revision history
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- Title
- Which microscopic physics removes the moving contact-line stress singularity?
- Plain
- If liquid sticks perfectly to the solid wall, the friction at a moving contact line becomes infinite and a drop could never spread. Is it slip of molecules along the wall, an invisible thin film ahead of the drop, a smeared-out liquid-gas boundary, or evaporation that removes this infinity in real liquids?
- Precise
- The no-slip Stokes solution near a contact line moving at speed $U$ gives viscous stress $\sim \eta U / r$ and a logarithmically divergent dissipation. For specific liquid-solid pairs (for example silicone oil on silanized glass, water on glass, volatile liquids near saturation), determine which cutoff sets the inner length $L_{\mathrm{micro}}$ entering the Cox-Voinov law: Navier slip length $\ell_s$, precursor film, diffuse-interface width with its mobility, evaporation and condensation, or molecular hopping at the line. An answer identifies the dominant mechanism for each class of system and predicts $L_{\mathrm{micro}}$ and its dependence on $U$, viscosity and wettability.
- Settled by
- Measurements of $L_{\mathrm{micro}}$ at nanometer resolution for several liquid-solid pairs compared against molecular-dynamics simulations of the same pairs, with each candidate mechanism switched on and off.
- Kind
- phenomenon
- Answer type
- identification
- References
- (empty)
- Literature status
- open
- Status note
- (empty)
- Posed since
- 1971