A criterion for the pinning and depinning of an advancing contact line on a cold substrate

@article{Herbaut2020ACF,
  title={A criterion for the pinning and depinning of an advancing contact line on a cold substrate},
  author={R{\'e}my Herbaut and Julien Dervaux and Philippe Brunet and Laurent Royon and Laurent Limat},
  journal={arXiv: Fluid Dynamics},
  year={2020}
}
The influence of solidification on the spreading of liquids is addressed in the situation of an advancing liquid wedge on a cold substrate at $T_p < T_f$, of infinite thermal conductivity, where $T_f$ is the melting temperature. We propose a model derived from lubrication theory of contact-line dynamics, where an equilibrium between capillary pressure and viscous stress is at play, adapted here for the geometry of a quadruple line where the vapour, liquid, solidified liquid and basal substrate… 
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