Abstract
We find that an analytical expression of liquid response to oscillatory motion of confining walls reproduces molecular dynamics simulation results.The viscoelastic friction coefficient and hydrodynamic boundary conditions with different wettabilities are unambiguously identified as fitting parameters.
Highlights
In order to solve the continuum equations of motion for a fluid in the presence of walls, one has to specify a hydrodynamic boundary condition (BC) on the wall
The hydrodynamic BC has been an active field of research during the past decades, both on the experimental side [18,19,20,21] and on the modeling side [3,4,6,22,23,24,25,26,27,28,29,30,31,32,33], where molecular dynamics (MD) simulation proved to be a powerful tool. Determining both λ and zs that make up the Navier BC is delicate even in a MD simulation, and it is a common practice to assume that zs lies at some prescribed distance from the wall surface [32] or coincides with the position of the wall surface [23,24,25] and only the friction coefficient is measured
III, the frequency-dependent friction coefficient (FC) and the position of the hydrodynamic boundary were identified as the parameters to give the best fit to the response function of the wall shear stress to the wall velocity obtained by the MD simulations: the solid lines in the left panel of
Summary
In order to solve the continuum equations of motion for a fluid in the presence of walls, one has to specify a hydrodynamic boundary condition (BC) on the wall. The hydrodynamic BC has been an active field of research during the past decades, both on the experimental side [18,19,20,21] and on the modeling side [3,4,6,22,23,24,25,26,27,28,29,30,31,32,33], where molecular dynamics (MD) simulation proved to be a powerful tool Determining both λ and zs that make up the Navier BC is delicate even in a MD simulation, and it is a common practice to assume that zs lies at some prescribed distance from the wall surface [32] or coincides with the position of the wall surface [23,24,25] and only the friction coefficient (or equivalently the slip length) is measured.
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