University of Illinois Urbana-Champaign

Viscous streaming in the vicinity of three-dimensional elastic structures

Cui, Songyuan

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CUI-THESIS-2024.pdf

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https://hdl.handle.net/2142/125521

Description

Title
Viscous streaming in the vicinity of three-dimensional elastic structures
Author(s)
Cui, Songyuan
Issue Date
2024-06-18
Director of Research (if dissertation) or Advisor (if thesis)
Gazzola, Mattia
Department of Study
Mechanical Sci & Engineering
Discipline
Mechanical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Keyword(s)
  • Viscous streaming
  • Fluid-structure interactions
  • Soft-body dynamics
Abstract
Viscous streaming, also termed steady streaming or classically acoustic streaming, is a secondary inertial effect that arises when viscous fluids oscillate around an immersed object. It is an efficient rectification mechanism that exploits the steady flow emerging out of the oscillatory base flow and has found extensive applications in microfluidics and particle manipulation. Classical investigations focus on the structure of streaming flows in the vicinity of rigid bodies, leading to a robust theoretical framework based primarily on asymptotic approximations. Recent studies, motivated by its biological implications, have ventured beyond rigid body streaming and theoretically elucidated the impact of body elasticity on streaming flows in two dimensions. In this study, we generalize those findings to three dimensions, via a minimal case study of an immersed soft sphere. We first consider the streaming solution in the rigid sphere limit, where we improve upon an existing solution 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 three-dimensional geometry and topology, paving the way for advanced forms of flow control.
Graduation Semester
2024-08
Type of Resource
Thesis
Handle URL
https://hdl.handle.net/2142/125521
Copyright and License Information
Copyright 2024 Songyuan Cui

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