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Variational scheme towards an optimal lifting drive in fluid adhesion

Eduardo O. Dias and José A. Miranda*

  • Departamento de Física, Universidade Federal de Pernambuco, Recife PE 50670-901, Brazil

  • *jme@df.ufpe.br
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Phys. Rev. E 86, 046322 – Published 26 October, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.046322

Abstract

One way of determining the adhesive strength of liquids is provided by a probe-tack test, which measures the force or energy required to pull apart two parallel flat plates separated by a thin fluid film. The vast majority of the existing theoretical and experimental works in fluid adhesion use very viscous fluids, and consider a linear drive L(t)∼Vt with constant lifting plate velocity V. This implies a given energy cost and large lifting force magnitude. One challenging question in this field pertains to what would be the optimal time-dependent drive Lopt(t) for which the adhesion energy would be minimized. We use a variational scheme to systematically search for such Lopt(t). By employing an optimal lifting drive, in addition to saving energy, we verify a significant decrease in the adhesion force peak. The effectiveness of the proposed lifting procedure is checked for both Newtonian and power-law fluids.

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Outline

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Phys. Rev. E 86, 046322– Published 26 October, 2012
  • Received 21 August 2012

©2012 American Physical Society

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