Energy dissipation in microfluidic beam resonators: Effect of Poisson's ratio

John E. Sader, Thomas P. Burg, Jungchul Lee, and Scott R. Manalis
Phys. Rev. E 84, 026304 – Published 5 August 2011

Abstract

Dissipation of mechanical energy underlies the sensitivity of many nanomechanical devices, with environmental effects often having a significant effect. One case of practical relevance is the interaction of elastic beam resonators with fluid, which is known to dramatically increase energy dissipation. Recently, we investigated energy dissipation in a different class of elastic beam resonator that embeds a microfluidic channel in its interior. In this paper, we examine the effect of the beam material Poisson ratio on these devices and discover that it can strongly affect energy dissipation—this is in direct contrast to conventional cantilever beams immersed in fluid. Increasing the Poisson ratio in these microfluidic devices is found to decrease energy dissipation, with the incompressible material limit providing minimum energy dissipation. Our paper establishes that, in this limit, placement of the fluid channel away from the beam neutral axis has negligible effect on energy dissipation in many cases of practical interest. The physical implications of these findings are discussed, and a detailed comparison with available experimental results is provided.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
6 More
  • Received 11 April 2011

DOI:https://doi.org/10.1103/PhysRevE.84.026304

©2011 American Physical Society

Authors & Affiliations

John E. Sader1,*, Thomas P. Burg2,3, Jungchul Lee2,4, and Scott R. Manalis2,5

  • 1Department of Mathematics and Statistics, The University of Melbourne, Victoria 3010, Australia
  • 2Department of Biological Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 3Max Planck Institute for Biophysical Chemistry, D-37077 Goettingen, Germany
  • 4Department of Mechanical Engineering, Sogang University, Seoul 121-742, Korea
  • 5Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *jsader@unimelb.edu.au

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 84, Iss. 2 — August 2011

Reuse & Permissions
Access Options

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×