# Equilibrium measurement method of slip length based on fluctuating hydrodynamics.

@article{Nakano2020EquilibriumMM, title={Equilibrium measurement method of slip length based on fluctuating hydrodynamics.}, author={Hiroyoshi Nakano and Shin-ichi Sasa}, journal={Physical review. E}, year={2020}, volume={101 3-1}, pages={ 033109 } }

We perform equilibrium molecular dynamics simulations for nanoscale fluids confined between two parallel walls and investigate how the autocorrelation function of force acting on one wall is related to the slip length. We demonstrate that for atomically smooth surfaces, the autocorrelation function is accurately described by linearized fluctuating hydrodynamics (LFH). Excellent agreement between the simulation and the LFH solution is found over a wide range of scales, specifically, from the…

## 5 Citations

### Low Mach number fluctuating hydrodynamics model for ionic liquids

- PhysicsPhysical Review Fluids
- 2020

We present a new mesoscale model for ionic liquids based on a low Mach number fluctuating hydrodynamics formulation for multicomponent charged species. The low Mach number approach eliminates sound…

### Fast increase of wall slip in supercooled water: the key role of dynamics

- Physics
- 2020

Cooling down water in its supercooled regime has been widely considered to better understand the bulk transport properties of this ubiquitous liquid. Here we apply the same approach to investigate…

### Fast increase of nanofluidic slip in supercooled water: the key role of dynamics.

- PhysicsNanoscale
- 2020

This study shows that wall slip increases strongly when water is cooled below its melting point, and explains the anomalous slip behavior in the supercooled regime by a decoupling between viscosity and bulk density relaxation dynamics, and rationalizes the wall-type dependence of the enhancement in terms of interfacialdensity relaxation dynamics.

### Distinct Chemistries Explain Decoupling of Slip and Wettability in Atomically Smooth Aqueous Interfaces.

- Materials ScienceThe journal of physical chemistry letters
- 2021

The results rationalize recent observations that the difference in frictional characteristics of graphite and hexagonal boron nitride cannot be explained on the basis of the minor differences in their wettabilities.

### Theoretical framework for the atomistic modeling of frequency-dependent liquid-solid friction

- Materials SciencePhysical Review Research
- 2021

Haruki Oga, ∗ Takeshi Omori, † Cecilia Herrero, Samy Merabia, Laurent Joly, 4 and Yasutaka Yamaguchi 5, ‡ Department of Mechanical Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871,…

## References

SHOWING 1-10 OF 83 REFERENCES

### Prediction of fluid slip in cylindrical nanopores using equilibrium molecular simulations

- Materials ScienceNanotechnology
- 2018

The developed method enables us to calculate the interfacial friction coefficient directly from EMD simulations, while friction can be estimated using NEMD by performing simulations at various external driving forces, thereby increasing the overall computational time.

### Molecular origin and dynamic behavior of slip in sheared polymer films.

- PhysicsPhysical review letters
- 2004

The dynamical response of the slip length with increasing shear rate is well captured by a power law up to a critical value where the momentum transfer between wall and fluid reaches its maximum.

### Hydrodynamic slip length as a surface property.

- PhysicsPhysical review. E
- 2016

The hydrodynamic slip length was found to be channel-size independent using equilibrium calculations, i.e., suggesting a consistency with the definition of a surface property, for 5-nm channels and larger.

### Slip coefficient in nanoscale pore flow.

- EngineeringPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

The results show that the slip coefficient depends strongly on the pore width for small pores tending to a constant value for pores of width >20 molecular diameters for the authors' systems, in contrast to the linear scaling predicted by Maxwell's theory of slip.

### Prediction of fluid velocity slip at solid surfaces.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2011

The observed flow enhancement in highly confining geometries is believed to be caused by fluid velocity slip at the solid wall surface. Here we present a simple and highly accurate method to predict…

### Molecular theory of hydrodynamic boundary conditions in nanofluidics.

- PhysicsThe Journal of chemical physics
- 2008

The presented treatment generalizes the phenomenological definition of the friction coefficient and slip length to a tensor quantity, which reflects an anisotropic nature of an ordered crystalline or nanopatterned surface, which enables theoretical prediction of friction forces acting aslant to the liquid flow direction for such surfaces.

### Slip length of water on graphene: limitations of non-equilibrium molecular dynamics simulations.

- Engineering, PhysicsThe Journal of chemical physics
- 2012

This work aims at precisely quantifying the characteristic large slip length and flow rate of water flowing in a planar graphene nanochannel using the intrinsic interfacial friction coefficient between water and graphene found from equilibrium molecular dynamics simulations.

### Water slippage versus contact angle: a quasiuniversal relationship.

- Materials SciencePhysical review letters
- 2008

Slip lengths on different surfaces are found to collapse nearly onto a single curve as a function of the static contact angle characterizing the surface wettability, thereby suggesting a quasiuniversal relationship.

### Statistical Mechanical Expressions of Slip Length

- PhysicsJournal of Statistical Physics
- 2019

We provide general derivations of the partial slip boundary condition from microscopic dynamics and linearized fluctuating hydrodynamics. The derivations are based on the assumption of separation of…

### Influence of periodic wall roughness on the slip behaviour at liquid/solid interfaces: molecular-scale simulations versus continuum predictions

- PhysicsJournal of Fluid Mechanics
- 2006

The influence of surface roughness on the slip behaviour of a Newtonian liquid in steady planar shear is investigated using three different approaches, namely Stokes flow calculations, molecular…