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. At moderate and high Reynolds numbers, turbulent fluctuations activate the wall oscillations, which, in turn, amplify the turbulent Reynolds stresses in the fluid. At a very low Reynolds number, the only production term is due to the energy input from the elastic wall, which increases with the wall elasticity. This mechanism may be exploited to passively enhance mixing in microfluidic devices.
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Low Reynolds number turbulent flows over elastic walls
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August 2020
Research Article|
August 20 2020
Low Reynolds number turbulent flows over elastic walls
Special Collection:
Fluid-Structure Interactions: From Engineering to Biomimetic Systems
Marco E. Rosti
;
Marco E. Rosti
a)
1
Complex Fluids and Flows Unit, Okinawa Institute of Science and Technology Graduate University
, 1919-1 Tancha, Onna-son, Okinawa 904-0495, Japan
a)Author to whom correspondence should be addressed: marco.rosti@oist.jp
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Luca Brandt
Luca Brandt
2
Linné Flow Centre and SeRC (Swedish e-Science Research Centre), KTH Department of Engineering Mechanics
, SE 100 44 Stockholm, Sweden
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a)Author to whom correspondence should be addressed: marco.rosti@oist.jp
Note: This paper is part of the Special Topic, Fluid-Structure Interactions: From Engineering to Biomimetic Systems.
Physics of Fluids 32, 083109 (2020)
Article history
Received:
June 17 2020
Accepted:
August 01 2020
Citation
Marco E. Rosti, Luca Brandt; Low Reynolds number turbulent flows over elastic walls. Physics of Fluids 1 August 2020; 32 (8): 083109. https://doi.org/10.1063/5.0018770
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