2022
DOI: 10.1017/jfm.2022.525
|View full text |Cite
|
Sign up to set email alerts
|

Soft streaming – flow rectification via elastic boundaries

Abstract: Viscous streaming is an efficient mechanism to exploit inertia at the microscale for flow control. While streaming from rigid features has been thoroughly investigated, when body compliance is involved, as in biological settings, little is known. Here, we investigate body elasticity effects on streaming in the minimal case of an immersed soft cylinder. Our study reveals an additional streaming process, available even in Stokes flows. Paving the way for advanced forms of flow manipulation, we illustrate how gai… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

4
15
0

Year Published

2022
2022
2024
2024

Publication Types

Select...
6

Relationship

3
3

Authors

Journals

citations
Cited by 7 publications
(19 citation statements)
references
References 40 publications
(110 reference statements)
4
15
0
Order By: Relevance
“…Viscous streaming refers to the steady, rectified flows that emerge when a fluid oscillates around a localized microfeature, typically a solid body or a bubble ( 15 17 ). Such microfeatures have the ability to concentrate stresses ( 18 , 19 ), and thus distort and remodel the surrounding flow and its topology ( 20 23 ). The result is a remarkably consistent, controllable, and convenient machinery to shape both flow and particle paths.…”
mentioning
confidence: 99%
“…Viscous streaming refers to the steady, rectified flows that emerge when a fluid oscillates around a localized microfeature, typically a solid body or a bubble ( 15 17 ). Such microfeatures have the ability to concentrate stresses ( 18 , 19 ), and thus distort and remodel the surrounding flow and its topology ( 20 23 ). The result is a remarkably consistent, controllable, and convenient machinery to shape both flow and particle paths.…”
mentioning
confidence: 99%
“…The fluid oscillates with velocity V(t) = aω cos ωt, where , ω and t represent the non-dimensional amplitude, angular frequency and time. Following our previous set-up for a soft two-dimensional cylinder (Bhosale et al 2022a), we kinematically enforce zero strain and velocity near the sphere's centre by 'pinning' the sphere with a rigid inclusion Γ of radius b < a, the boundary of which is denoted by ∂Γ . We choose to 'pin' the sphere to suppress its rigid-body motion and simplify mathematical treatment.…”
Section: Problem Set-up and Governing Equationsmentioning
confidence: 99%
“…In viscous streaming applications, typically we have small non-dimensional oscillation amplitudes 1 (Wang 1965;Bertelsen, Svardal & Tjøtta 1973;Lutz et al 2005), density ratio α and viscosity ratio β of O (1), and Womersley number M ∼ O (1) (Marmottant & Hilgenfeldt 2004;Lutz et al 2006). For the Cauchy number Cau, we apply the same treatment as in Bhosale et al (2022a), where we use Cau = 0 for a rigid body and Cau = κ with κ = O (1) for elastic bodies. The latter assumption implies that Cau 1, which physically means that the body is weakly elastic.…”
Section: Perturbation Series Solutionmentioning
confidence: 99%
See 2 more Smart Citations