Capillary interaction between a small thin solid plate and a liquid

M. Taher, A. Saif

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Micromechanical systems are increasingly being used in microfluidic and biological applications where solid-liquid interaction phenomena become important. Here, we present an analytical/computational study on the interaction force between a thin solid plate interfacing with a liquid, and forming a meniscus under uniform gravitational field. The height of the plate from the liquid surface is prescribed. We assume that the contact angle is fixed, and must be satisfied by all possible menisci. The interaction force and the profile of the meniscus are determined using Young-Laplace equation represented in an Eulerian coordinate. For a long narrow thin plate, the results are obtained in closed form. For a circular plate, the solution is obtained numerically, where we find that the stability of the meniscus is strongly dependent on the radius of the plate. The findings of this study have relevance to the quantification of force between an AFM tip and the thin layer of moisture on the surface that it scans, as well as in the design of MEMS actuators that manipulate objects in liquids without inundating themselves.

Original languageEnglish (US)
Title of host publication2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002
EditorsM. Laudon, B. Romanowicz
Pages330-333
Number of pages4
StatePublished - Dec 1 2002
Event2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002 - San Juan, Puerto Rico
Duration: Apr 21 2002Apr 25 2002

Publication series

Name2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002

Other

Other2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002
CountryPuerto Rico
CitySan Juan
Period4/21/024/25/02

Fingerprint

Liquids
Laplace equation
Microfluidics
Contact angle
MEMS
Moisture
Actuators

Keywords

  • Capillarity
  • MEMS
  • Meniscus
  • Surface-tension

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Taher, M., & Saif, A. (2002). Capillary interaction between a small thin solid plate and a liquid. In M. Laudon, & B. Romanowicz (Eds.), 2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002 (pp. 330-333). (2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002).

Capillary interaction between a small thin solid plate and a liquid. / Taher, M.; Saif, A.

2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002. ed. / M. Laudon; B. Romanowicz. 2002. p. 330-333 (2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Taher, M & Saif, A 2002, Capillary interaction between a small thin solid plate and a liquid. in M Laudon & B Romanowicz (eds), 2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002. 2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002, pp. 330-333, 2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002, San Juan, Puerto Rico, 4/21/02.
Taher M, Saif A. Capillary interaction between a small thin solid plate and a liquid. In Laudon M, Romanowicz B, editors, 2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002. 2002. p. 330-333. (2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002).
Taher, M. ; Saif, A. / Capillary interaction between a small thin solid plate and a liquid. 2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002. editor / M. Laudon ; B. Romanowicz. 2002. pp. 330-333 (2002 International Conference on Modeling and Simulation of Microsystems - MSM 2002).
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