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Slip coefficient in nanoscale pore flow
Vlad P Sokhan1, Nicholas Quirke
1National Physical Laboratory, Hampton Road, Teddington TW11 0LW, United Kingdom. vlad.sokhan@npl.co.uk
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 4, 2008
Summary
We derived a new slip coefficient (SC) for nanoscale pores, accounting for finite-size effects. This slip coefficient is crucial for understanding fluid flow in nanopores and differs from traditional models.
Area of Science:
- Fluid Dynamics
- Nanoscale Science
- Physical Chemistry
Background:
- Hydrodynamic solutions often use Maxwell's boundary conditions, incorporating an empirical slip coefficient (SC).
- Existing SC derivations typically assume half-space flow and neglect finite-size effects crucial for nanopore environments.
Purpose of the Study:
- To develop an expression for the slip coefficient (SC) applicable to fluid flow within nanoscale pores.
- To incorporate finite-size effects into SC calculations, which are dominant in nanopore flow.
- To validate the new SC expression using nonequilibrium molecular-dynamics simulations.
Main Methods:
- Developed a theoretical expression for the slip coefficient (SC) considering finite-size effects in nanopores.
- Employed nonequilibrium molecular-dynamics simulations to verify the derived SC expression.
Main Results:
- The study presents a validated SC expression for nanoscale fluid flow.
- Results indicate a strong dependence of the slip coefficient on pore width for small pores.
- The SC approaches a constant value for pore widths exceeding approximately 20 molecular diameters, deviating from Maxwell's linear scaling prediction.
Conclusions:
- The derived SC expression accurately models slip flow in nanopores, incorporating essential finite-size effects.
- Nanopore width significantly influences the slip coefficient, challenging traditional hydrodynamic theories.
- This work provides a more accurate approach for predicting fluid behavior in nanoscale confinement.
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