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Drag is a resistive force opposing an object’s motion through a fluid, resulting from surface pressure and shear forces. It comprises two components: a perpendicular one from pressure and a tangential one from shear stress. Accurate drag calculations use pressure and wall shear stress distributions, often determined through Computational Fluid Dynamics (CFD) or wind tunnel testing. The drag coefficient, a dimensionless measure, depends on factors like shape, Reynolds number, Mach number, Froude...

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Hydrodynamic drag-force measurement and slip length on microstructured surfaces.

A Maali¹, Y Pan, B Bhushan

¹Laboratoire Ondes et Matière d'Aquitaine, Université Bordeaux I, 351 cours de la Liberation, F-33405 Talence, France. a.maali@loma.u-bordeaux1.fr

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

|September 26, 2012

Summary

This study measured water drainage between a sphere and microstructured surfaces. Hydrodynamic drag was higher on Cassie interfaces than Wenzel interfaces, with slip lengths matching theoretical predictions.

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Area of Science:

Fluid dynamics
Surface science
Microfluidics

Background:

Understanding liquid behavior on microstructured surfaces is crucial for microfluidic devices.
The Cassie and Wenzel states describe different liquid-surface interactions, impacting flow dynamics.

Purpose of the Study:

To experimentally investigate water drainage dynamics on a microstructured surface exhibiting both Cassie and Wenzel interfaces.
To measure and compare hydrodynamic drag forces across these different interface types.
To determine local slip lengths on the microstructured surface and validate theoretical models.

Main Methods:

A drainage experiment was conducted using a borosilicate sphere and a microstructured surface with regularly spaced pillars.
Hydrodynamic drag forces were measured on both the Cassie and Wenzel interface regions of the surface.
Local slip lengths were extracted from drag force measurements on and between pillars for the Cassie interface.

Main Results:

Hydrodynamic drag force was found to be significantly larger on the Cassie interface compared to the Wenzel interface.
Local slip lengths were successfully extracted for the Cassie interface region.
The experimentally determined area-averaged slip length agreed well with predictions from Philip's equation.

Conclusions:

The distinct wetting behaviors (Cassie vs. Wenzel) on microstructured surfaces lead to measurable differences in hydrodynamic drag.
Experimental slip length measurements on the Cassie interface are consistent with theoretical models.
This work provides valuable experimental data for the design and optimization of microfluidic systems.