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… 

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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
...