Three-dimensional soft streaming

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.

References in corpus (7)

• Propulsion of a two-sphere swimmer
• Transient compressible flow in a compliant viscoelastic tube
• Streaming enhanced flow-mediated transport
• Shape curvature effects in viscous streaming
• Multi-curvature viscous streaming: flow topology and particle manipulation
• A remeshed vortex method for mixed rigid/soft body fluid--structure interaction
• Three-dimensional geometry and topology effects in viscous streaming

Cited by in corpus (4)

• Elasto-inertial rectification of oscillatory flow in an elastic tube
• Oscillatory flows in three-dimensional deformable microchannels
• Hydrodynamics in a villi-patterned channel due to pendular-wave activity
• Theory and simulation of elastoinertial rectification of oscillatory flows in two-dimensional deformable rectangular channels