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Related Experiment Video

Updated: May 7, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow

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Published on: May 1, 2018

Effective slip-length tensor for a flow over weakly slipping stripes.

Evgeny S Asmolov¹, Jiajia Zhou, Friederike Schmid

¹A.N. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, 31 Leninsky Prospect, 119071 Moscow, Russia and Central Aero-Hydrodynamic Institute, 140180 Zhukovsky, Moscow region, Russia and Institute of Mechanics, M. V. Lomonosov Moscow State University, 119071 Moscow, Russia.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|September 17, 2013

Summary

Flow past heterogeneous surfaces with slipping stripes exhibits anisotropic effective slip. This effect, driven by steplike changes in slip length, significantly reduces slip compared to surface-averaged predictions.

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Area of Science:

Fluid dynamics
Surface science
Soft matter physics

Background:

Understanding fluid flow over heterogeneous surfaces is crucial in microfluidics and nanotechnology.
Previous models assumed isotropic effective slip for weakly slipping surfaces.

Purpose of the Study:

To investigate the impact of steplike variations in slip length on fluid flow.
To determine if anisotropic effective slip arises from local slip length discontinuities.

Main Methods:

Analytical expansion of the effective slip-length tensor.
Numerical solutions for fluid flow simulations.
Dissipative particle dynamics (DPD) simulations.

Main Results:

Steplike jumps in local slip length lead to anisotropic effective slip.
The next-to-leading order term in the slip-length tensor becomes significant.
Effective slip is reduced compared to the surface-averaged value.

Conclusions:

Heterogeneous slip lengths with sharp interfaces cause significant anisotropy in effective slip.
Standard surface-averaging methods may not capture the full behavior of such systems.
The findings are validated by numerical and DPD simulations.