Numerical evidence for cutoffs in chaotic microfluidic mixing

Tzu Chen Liang, Matthew West

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

Abstract

Chaotic mixing strategies produce high mixing rates in mi-crofluidic channels and other applications. In prior numerical and experimental work the variance of a tracer field in a chaotic mixer has been observed to decay rapidly after an initial slower transient. We relate this to the cutoff phenomenon observed in finite Markov chains and provide numerical evidence to suggest that chaotic mixing indeed exhibits cutoff. We provide results for a herringbone passive microfluidic mixer and the Standard Map.

Original languageEnglish (US)
Title of host publication2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008
Pages1075-1082
Number of pages8
EditionPART B
StatePublished - Oct 19 2009
Event2008 ASME Dynamic Systems and Control Conference, DSCC 2008 - Ann Arbor, MI, United States
Duration: Oct 20 2008Oct 22 2008

Publication series

Name2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008
NumberPART B

Other

Other2008 ASME Dynamic Systems and Control Conference, DSCC 2008
CountryUnited States
CityAnn Arbor, MI
Period10/20/0810/22/08

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering
  • Mechanical Engineering

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  • Cite this

    Liang, T. C., & West, M. (2009). Numerical evidence for cutoffs in chaotic microfluidic mixing. In 2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008 (PART B ed., pp. 1075-1082). (2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008; No. PART B).