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Slip boundary conditions over curved surfaces
Lin Guo1, Shiyi Chen1,2, Mark O Robbins1,3
1Department of Mechanical Engineering, Johns Hopkins University, Baltimore, Maryland 21218, USA.
Physical Review. E
|February 13, 2016
Summary
Surface curvature significantly impacts fluid slip length, decreasing it for dense surfaces and increasing it for sparse ones. This effect depends on wall-fluid interactions and crystallographic orientation.
Area of Science:
- Fluid dynamics
- Materials science
- Computational physics
Background:
- The slip boundary condition describes fluid flow near a solid surface.
- Understanding slip length is crucial for microfluidics and lubrication.
Purpose of the Study:
- To investigate how surface curvature affects fluid slip length.
- To analyze the influence of wall-fluid interactions and crystallographic orientation on slip.
Main Methods:
- Molecular dynamics simulations were employed.
- Slip length was measured in planar and cylindrical geometries.
Main Results:
- Slip length decreased with increasing curvature for closely packed surfaces.
- Slip length increased with curvature for sparse surfaces.
- The magnitude of these changes varied with crystallographic orientation and flow direction.
Conclusions:
- Curvature-induced changes in fluid-wall spacing ratio explain observed slip behaviors.
- Results align with a microscopic theory of viscous friction and slip length.
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