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Three-dimensional soft streaming

Published online by Cambridge University Press:  10 January 2024

Songyuan Cui Open the ORCID record for Songyuan Cui [Opens in a new window] ,
Yashraj Bhosale Open the ORCID record for Yashraj Bhosale [Opens in a new window]  and
Mattia Gazzola Open the ORCID record for Mattia Gazzola [Opens in a new window]
Songyuan Cui
Affiliation:
Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
Yashraj Bhosale
Affiliation:
Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
Mattia Gazzola*
Affiliation:
Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA National Center for Supercomputing Applications, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA Carl R. Woese Institute for Genomic Biology, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
*
†Email address for correspondence: mgazzola@illinois.edu
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Abstract

Viscous streaming is an efficient rectification mechanism to exploit flow inertia at small scales for fluid and particle manipulation. It typically entails a fluid vibrating around an immersed solid feature that, by concentrating stresses, modulates the emergence of steady flows of useful topology. Motivated by its relevance in biological and artificial settings characterized by soft materials, recent studies have theoretically elucidated, in two dimensions, the impact of body elasticity on streaming flows. Here, we generalize those findings to three dimensions, via the minimal case of an immersed soft sphere. We first improve existing solutions for the rigid-sphere limit, by considering previously unaccounted terms. We then enable body compliance, exposing a three-dimensional, elastic streaming process available even in Stokes flows. Such effect, consistent with two-dimensional analyses but analytically distinct, is validated against direct numerical simulations and shown to translate to bodies of complex geometry and topology, paving the way for advanced forms of flow control.

JFM classification

Micro-/Nano-fluid dynamics: Microfluidics Mathematical Foundations: General fluid mechanics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 979 , 25 January 2024 , A7
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Copyright
© The Author(s), 2024. Published by Cambridge University Press

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