Nonlinear pressure-flow relationships for passive microfluidic valves

Erkin Seker, Daniel C. Leslie, Hossein Haj-Hariri, James P. Landers, Marcel Utz, Matthew R. Begley

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


An analytical solution is presented for the nonlinear pressure-flow relationship of deformable passive valves, which are formed by bonding a deformable film over etched channels separated by a weir. A fluidic pathway connecting the channels is opened when the upstream pressure creates a tunnel along a predefined narrow strip where the film is not bonded to the weir. When the width of the strip is comparable to the inlet channel width, the predicted closed-form pressure-flow rate relationship is in excellent agreement with experiments, which determine pressures by measuring film deflections for prescribed flow rates. The validated closed-form models involve no fitting parameters, and provide the foundation to design passive diodes with specific nonlinear pressure-flow characteristics.

Original languageEnglish (US)
Pages (from-to)2691-2697
Number of pages7
JournalLab on a Chip
Issue number18
StatePublished - Jan 1 2009
Externally publishedYes

ASJC Scopus subject areas

  • Bioengineering
  • Biochemistry
  • Chemistry(all)
  • Biomedical Engineering


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