Mathematical models for the van der Waals force and capillary force between a rough particle and surface
The capability of predicting the adhesion forces between a rough particle and surface including the van der Waals force and capillary force is important for modeling various processes involving particle surface retention and resuspension. On the basis of the fractal theory describing the behavior...
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sg-ntu-dr.10356-853882020-03-07T13:19:24Z Mathematical models for the van der Waals force and capillary force between a rough particle and surface You, Siming. Wan, Man Pun. School of Mechanical and Aerospace Engineering The capability of predicting the adhesion forces between a rough particle and surface including the van der Waals force and capillary force is important for modeling various processes involving particle surface retention and resuspension. On the basis of the fractal theory describing the behavior of multiple roughness scales and the Gaussian roughness distribution, a set of mathematical models for the van der Waals force and capillary force is proposed. The proposed models provide the adhesion force predictions in good agreement with the existing experimental data and converge to the previous classical solutions of the adhesion forces between a smooth particle and surface as the roughness goes to zero. The influences of roughness for the combination of particle and surface, relative humidity (RH), contact angle, and Hurst exponent toward the adhesion forces are examined using the proposed models. The decline mode of the adhesion force with surface roughness and contact angle, as well as the increase mode with RH and the Hurst exponent are reasonably predicted by the proposed models. The comparison between the proposed models and those from the existing studies is also performed, which shows the similarities and differences between the proposed models and the existing models. 2013-08-05T03:16:35Z 2019-12-06T16:02:53Z 2013-08-05T03:16:35Z 2019-12-06T16:02:53Z 2013 2013 Journal Article You, S., & Wan, M. P. (2013). Mathematical Models for the van der Waals Force and Capillary Force between a Rough Particle and Surface. Langmuir, 29(29), 9104, 9117. https://hdl.handle.net/10356/85388 http://hdl.handle.net/10220/12977 10.1021/la401516m 174367 en Langmuir © 2013 American Chemical Society. |
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The capability of predicting the adhesion forces between a
rough particle and surface including the van der Waals force and capillary force
is important for modeling various processes involving particle surface retention
and resuspension. On the basis of the fractal theory describing the behavior of
multiple roughness scales and the Gaussian roughness distribution, a set of
mathematical models for the van der Waals force and capillary force is
proposed. The proposed models provide the adhesion force predictions in
good agreement with the existing experimental data and converge to the
previous classical solutions of the adhesion forces between a smooth particle
and surface as the roughness goes to zero. The influences of roughness for the
combination of particle and surface, relative humidity (RH), contact angle, and
Hurst exponent toward the adhesion forces are examined using the proposed
models. The decline mode of the adhesion force with surface roughness and
contact angle, as well as the increase mode with RH and the Hurst exponent are reasonably predicted by the proposed models.
The comparison between the proposed models and those from the existing studies is also performed, which shows the similarities
and differences between the proposed models and the existing models. |
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School of Mechanical and Aerospace Engineering |
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School of Mechanical and Aerospace Engineering You, Siming. Wan, Man Pun. |
format |
Article |
author |
You, Siming. Wan, Man Pun. |
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You, Siming. Wan, Man Pun. Mathematical models for the van der Waals force and capillary force between a rough particle and surface |
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You, Siming. |
title |
Mathematical models for the van der Waals force and capillary force between a rough particle and surface |
title_short |
Mathematical models for the van der Waals force and capillary force between a rough particle and surface |
title_full |
Mathematical models for the van der Waals force and capillary force between a rough particle and surface |
title_fullStr |
Mathematical models for the van der Waals force and capillary force between a rough particle and surface |
title_full_unstemmed |
Mathematical models for the van der Waals force and capillary force between a rough particle and surface |
title_sort |
mathematical models for the van der waals force and capillary force between a rough particle and surface |
publishDate |
2013 |
url |
https://hdl.handle.net/10356/85388 http://hdl.handle.net/10220/12977 |
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1681044791116169216 |