Shape curvature effects in viscous streaming

Yashraj Bhosale, Tejaswin Parthasarathy, Mattia Gazzola

Research output: Contribution to journalArticlepeer-review

Abstract

Viscous streaming flows generated by objects of constant curvature (circular cylinders, infinite plates) have been well understood. Yet, characterization and understanding of such flows when multiple body length scales are involved has not been looked into in rigorous detail. We propose a simplified setting to understand and explore the effect of multiple body curvatures on streaming flows, analysing the system through the lens of bifurcation theory. Our set-up consists of periodic, regular lattices of cylinders characterized by two distinct radii, so as to inject discrete curvatures into the system, which in turn affect the streaming field generated due to an oscillatory background flow. We demonstrate that our understanding based on this system, and in particular the role of bifurcations in determining the local flow topology, can be then generalized to a variety of individual convex shapes presenting a spectrum of curvatures, explaining prior experimental and computational observations. Thus, this study illustrates a route towards the rational manipulation of viscous streaming flow topology, through regulated variation of object geometry.

Original languageEnglish (US)
Article numberA13
JournalJournal of Fluid Mechanics
DOIs
StateAccepted/In press - 2020

Keywords

  • bifurcation
  • general fluid mechanics
  • microfluidics

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Fingerprint Dive into the research topics of 'Shape curvature effects in viscous streaming'. Together they form a unique fingerprint.

Cite this