Modeling and Experiments of the Adhesion Force Distribution
between Particles and a Surface
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Abstract
Due
to the existence of surface roughness in real surfaces, the
adhesion force between particles and the surface where the particles
are deposited exhibits certain statistical distributions. Despite
the importance of adhesion force distribution in a variety of applications,
the current understanding of modeling adhesion force distribution
is still limited. In this work, an adhesion force distribution model
based on integrating the root-mean-square (RMS) roughness distribution
(i.e., the variation of RMS roughness on the surface in terms of location)
into recently proposed mean adhesion force models was proposed. The
integration was accomplished by statistical analysis and Monte Carlo
simulation. A series of centrifuge experiments were conducted to measure
the adhesion force distributions between polystyrene particles (146.1
± 1.99 μm) and various substrates (stainless steel, aluminum
and plastic, respectively). The proposed model was validated against
the measured adhesion force distributions from this work and another
previous study. Based on the proposed model, the effect of RMS roughness
distribution on the adhesion force distribution of particles on a
rough surface was explored, showing that both the median and standard
deviation of adhesion force distribution could be affected by the
RMS roughness distribution. The proposed model could predict both
van der Waals force and capillary force distributions and consider
the multiscale roughness feature, greatly extending the current capability
of adhesion force distribution prediction