Three-dimensional geometry and topology effects in viscous streaming

@article{Chan2022ThreedimensionalGA,
  title={Three-dimensional geometry and topology effects in viscous streaming},
  author={Fan Kiat Chan and Yashraj Bhosale and Tejaswin Parthasarathy and Mattia Gazzola},
  journal={Journal of Fluid Mechanics},
  year={2022},
  volume={933}
}
Abstract Recent studies on viscous streaming flows in two dimensions have elucidated the impact of body curvature variations on resulting flow topology and dynamics, with opportunities for microfluidic applications. Following that, we present here a three-dimensional characterization of streaming flows as functions of changes in body geometry and topology, starting from the well-known case of a sphere to progressively arrive at toroidal shapes. We leverage direct numerical simulations and… 
2 Citations
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
Multi-curvature viscous streaming: flow topology and particle manipulation
Viscous streaming refers to the rectified, steady flows that emerge when a liquid oscillates around an immersed microfeature, typically a solid body or a bubble. The ability of such features to

References

SHOWING 1-10 OF 57 REFERENCES
Shape curvature effects in viscous streaming
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
Nonlinear streaming effects associated with oscillating cylinders
This paper deals with nonlinear streaming effects associated with oscillatory motion in a viscous fluid. A previous theory by Holtsmark et al. (1954) for the streaming near a circular cylinder in an
Flow mediated interactions between two cylinders at finite Re numbers
We present simulations of two interacting moving cylinders immersed in a two-dimensional incompressible, viscous flow. Simulations are performed by coupling a wavelet-adapted, remeshed vortex method
Simulations of single and multiple swimmers with non-divergence free deforming geometries
A general classification of three-dimensional flow fields
The geometry of solution trajectories for three first‐order coupled linear differential equations can be related and classified using three matrix invariants. This provides a generalized approach to
Streamline topology of steady axisymmetric vortex breakdown in a cylinder with co- and counter-rotating end-covers
Using a combination of bifurcation theory for two-dimensional dynamical systems and numerical simulations, we systematically determine the possible flow topologies of the steady vortex breakdown in
Hydrodynamically coupled rigid bodies
This paper considers a finite number of rigid bodies moving in potential flow. The dynamics of the solid--fluid system is described in terms of the solid variables only using Kirchhoff potentials.
Double boundary layers in oscillatory viscous flow
  • J. T. Stuart
  • Engineering, Physics
    Journal of Fluid Mechanics
  • 1966
This paper is concerned with unsteady laminar boundary layers on solid bodies in the presence of a fluctuating external flow of small amplitude. Any containing enclosures are assumed to be at
Inertial particle trapping in viscous streaming
The motion of an inertial particle in a viscous streaming flow of Reynolds number order 10 is investigated theoretically and numerically. The streaming flow created by a circular cylinder undergoing
OSCILLATING VISCOUS FLOW OVER AN INCLINED ELLIPTIC CYLINDER
...
...