Low Reynolds number turbulent flows over elastic walls

@article{Rosti2020LowRN,
  title={Low Reynolds number turbulent flows over elastic walls},
  author={Marco E. Rosti and Luca Brandt},
  journal={Physics of Fluids},
  year={2020},
  volume={32},
  pages={083109}
}
We study the laminar and turbulent channel flow over a viscous hyper-elastic wall and show that it is possible to sustain an unsteady chaotic turbulent-like flow at any Reynolds number by properly choosing the wall elastic modulus. We propose a physical explanation for this effect by evaluating the shear stress and the turbulent kinetic energy budget in the fluid and elastic layer. We vary the bulk Reynolds number from 2800 to 10 and identify two distinct mechanisms for turbulence production… 
4 Citations

Figures and Tables from this paper

Reduced models of unidirectional flows in compliant rectangular ducts at finite Reynolds number
Soft hydraulics, which addresses the interaction between an internal flow and a compliant conduit, is a central problem in microfluidics. We analyze Newtonian fluid flow in a rectangular duct with a
Transient compressible flow in a compliant viscoelastic tube
Motivated by problems arising in the pneumatic actuation of controllers (for MEMS, labs-on-a-chip or biomimetic soft robots) and the study of microrheology of both gases and soft solids, we analyze
Universal flapping states of elastic fibers in modulated turbulence
TLDR
Universal flapping states of elastic fibers in modulated turbulence Stefano Olivieri, Andrea Mazzino, and Marco E. Rosti Complex Fluids and Flows Unit.

References

SHOWING 1-10 OF 56 REFERENCES
Numerical simulation of turbulent channel flow over a viscous hyper-elastic wall
We perform numerical simulations of a turbulent channel flow over an hyper-elastic wall. In the fluid region the flow is governed by the incompressible Navier–Stokes (NS) equations, while the solid
DNS of turbulent channel flow at very low Reynolds numbers
Direct numerical simulations (DNS) of fully-developed turbulent channel flows for very low Reynolds numbers have been performed with a larger computational box sizes than those of existing DNS. The
The autonomous cycle of near-wall turbulence
Numerical experiments on modified turbulent channels at moderate Reynolds numbers are used to differentiate between several possible regeneration cycles for the turbulent fluctuations in wall-bounded
Turbulent shear flow over active and passive porous surfaces
The behaviour of turbulent shear flow over a mass-neutral permeable wall is studied numerically. The transpiration is assumed to be proportional to the local pressure fluctuations. It is first shown
Elastic turbulence in a polymer solution flow
TLDR
The low Reynolds number or ‘elastic’ turbulence that is observed is accompanied by significant stretching of the polymer molecules, resulting in an increase in the elastic stresses of up to two orders of magnitude.
Extensive investigation of the influence of wall permeability on turbulence
Turbulent channel flow over an anisotropic porous wall – drag increase and reduction
The effect of the variations of the permeability tensor on the close-to-the-wall behaviour of a turbulent channel flow bounded by porous walls is explored using a set of direct numerical simulations.
A dynamical instability due to fluid–wall coupling lowers the transition Reynolds number in the flow through a flexible tube
Abstract A flow-induced instability in a tube with flexible walls is studied experimentally. Tubes of diameter 0.8 and 1.2 mm are cast in polydimethylsiloxane (PDMS) polymer gels, and the catalyst
Elastic waves and transition to elastic turbulence in a two-dimensional viscoelastic Kolmogorov flow.
  • S. BertiG. Boffetta
  • Engineering
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2010
TLDR
The peculiar dynamical behavior observed in the simulations is found to be related to the appearance of filamental propagating patterns, which develop even in the limit of very small inertial nonlinearities, thanks to the feedback of elastic forces on the flow.
Transport Mechanism of Interface Turbulence over Porous and Rough Walls
To understand turbulent transport mechanisms of interface turbulence over porous and rough walls, statistical analyses using direct numerical simulation (DNS) data are carried out at a bulk Reynolds
...
...