Variance amplification in channel flows of strongly elastic polymer solutions

Mihailo Jovanovic, Satish Kumar

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

Abstract

This paper identifies a new mechanism for amplification of stochastic disturbances in channel flows of strongly elastic polymer solutions. For streamwise constant flows with high elasticity numbers μ and non-vanishing Reynolds numbers Re, the O(μRe3) scaling of the variance amplification is established using singular perturbations techniques. This demonstrates that large variances can be maintained in stochastically driven flows occurring in weak inertial/strong elastic regimes. Mathematically, the amplification arises due to nonnormality of the governing equations and, physically, it is caused by the stretching of the polymer stresses by the background shear. The reported developments provide a possible route for a bypass transition to 'elastic turbulence' and suggest a novel method for efficient mixing in micro-fabricated straight channels.

Original languageEnglish (US)
Title of host publication2009 American Control Conference, ACC 2009
Pages842-847
Number of pages6
DOIs
StatePublished - Nov 23 2009
Event2009 American Control Conference, ACC 2009 - St. Louis, MO, United States
Duration: Jun 10 2009Jun 12 2009

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2009 American Control Conference, ACC 2009
CountryUnited States
CitySt. Louis, MO
Period6/10/096/12/09

Keywords

  • Elastic turbulence
  • Microfluidic mixing
  • Polymer additives
  • Singular perturbations
  • Variance amplification
  • Viscoelastic fluids

Fingerprint Dive into the research topics of 'Variance amplification in channel flows of strongly elastic polymer solutions'. Together they form a unique fingerprint.

Cite this