Theoretical analysis for dynamic contact angle hysteresis on chemically patterned surfaces
arXiv:2008.12549 · doi:10.1063/5.0027747
Abstract
A dynamic wetting problem is studied for a moving thin fiber inserted in fluid and with a chemically inhomogeneous surface. A reduced model is derived for contact angle hysteresis by using the Onsager principle as an approximation tool. The model is simple and captures the essential dynamics of the contact angle. From this model we derive an upper bound of the advancing contact angle and a lower bound of the receding angle, which are verified by numerical simulations. The results are consistent with the quasi-static results. The model can also be used to understand the asymmetric dependence of the advancing and receding contact angles on the fiber velocity, which is observed recently in physical experiments reported in Guan et al Phys. Rev. Lett. 2016.
References in corpus (8)
- Molecular scale contact line hydrodynamics of immiscible flows
- A variational approach to the moving contact line hydrodynamics
- Ring to Mountain Transition in Deposition Pattern of Drying
- Wetting hysteresis induced by nanodefects
- Sharp-interface limits of a phase-field model with a generalized Navier slip boundary condition for moving contact lines
- Capillary imbibition in a square tube
- Dynamics of Viscoelastic Filaments Based on Onsager Principle
- Application of Onsager Machlup integral in solving dynamic equations in non-equilibrium systems