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Capillary Forces Modeling in Micro/Nano Interactions

[+] Author Affiliations
Bo Chang

Northwestern Polytechnical University, Xi’an, China; Helsinki University of Technology, Helsinki, Finland

Jingrong Wang, Quan Zhou

Northwestern Polytechnical University, Xi’an, China

Heikki Koivo

Helsinki University of Technology, Helsinki, Finland

Paper No. MNC2007-21161, pp. 1005-1015; 11 pages
doi:10.1115/MNC2007-21161
From:
  • 2007 First International Conference on Integration and Commercialization of Micro and Nanosystems
  • First International Conference on Integration and Commercialization of Micro and Nanosystems, Parts A and B
  • Sanya, Hainan, China, January 10–13, 2007
  • Conference Sponsors: Nanotechnology Institute
  • ISBN: 0-7918-4265-7 | eISBN: 0-7918-3794-7
  • Copyright © 2007 by ASME

abstract

This paper introduces two numerical approaches to model the capillary forces under two different initial conditions: given volume of the liquid and under the capillary condensation. The paper thoroughly analyzes the solutions of both numerical methods. Due to multiple numerical solutions may exist for a given set of parameters, criteria based on the derivative and the second derivative of the solution are proposed to determine the existence and stability of those numerical solutions. The features of those numerical solutions are also carefully discussed. Moreover, the results of two numerical methods are compared in different system parameters for several configurations, including two plates with different volume of liquid between them, a plate and a cone of different incline angle, and a plate and spheres of different radius. Suggestions of the applicability of both methods are given based on the results. To allow calculation of capillary forces between arbitrary shaped objects, the paper proposes an early approach to calculate the capillary forces for discretized surfaces.

Copyright © 2007 by ASME
Topics: Force , Modeling

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