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Turbulent channel flow of an elastoviscoplastic fluid

Published online by Cambridge University Press:  23 August 2018

Marco E. Rosti Open the ORCID record for Marco E. Rosti [Opens in a new window] ,
Daulet Izbassarov ,
Outi Tammisola ,
Sarah Hormozi Open the ORCID record for Sarah Hormozi [Opens in a new window]  and
Luca Brandt Open the ORCID record for Luca Brandt [Opens in a new window]
Marco E. Rosti*
Affiliation:
Linné Flow Centre and SeRC, KTH Mechanics, Stockholm, Sweden
Daulet Izbassarov
Affiliation:
Linné Flow Centre and SeRC, KTH Mechanics, Stockholm, Sweden
Outi Tammisola
Affiliation:
Linné Flow Centre and SeRC, KTH Mechanics, Stockholm, Sweden
Sarah Hormozi
Affiliation:
Department of Mechanical Engineering, Ohio University, Athens, OH 45701-2979, USA
Luca Brandt
Affiliation:
Linné Flow Centre and SeRC, KTH Mechanics, Stockholm, Sweden
*
†Email address for correspondence: merosti@mech.kth.se
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Abstract

We present numerical simulations of laminar and turbulent channel flow of an elastoviscoplastic fluid. The non-Newtonian flow is simulated by solving the full incompressible Navier–Stokes equations coupled with the evolution equation for the elastoviscoplastic stress tensor. The laminar simulations are carried out for a wide range of Reynolds numbers, Bingham numbers and ratios of the fluid and total viscosity, while the turbulent flow simulations are performed at a fixed bulk Reynolds number equal to 2800 and weak elasticity. We show that in the laminar flow regime the friction factor increases monotonically with the Bingham number (yield stress) and decreases with the viscosity ratio, while in the turbulent regime the friction factor is almost independent of the viscosity ratio and decreases with the Bingham number, until the flow eventually returns to a fully laminar condition for large enough yield stresses. Three main regimes are found in the turbulent case, depending on the Bingham number: for low values, the friction Reynolds number and the turbulent flow statistics only slightly differ from those of a Newtonian fluid; for intermediate values of the Bingham number, the fluctuations increase and the inertial equilibrium range is lost. Finally, for higher values the flow completely laminarizes. These different behaviours are associated with a progressive increases of the volume where the fluid is not yielded, growing from the centreline towards the walls as the Bingham number increases. The unyielded region interacts with the near-wall structures, forming preferentially above the high-speed streaks. In particular, the near-wall streaks and the associated quasi-streamwise vortices are strongly enhanced in an highly elastoviscoplastic fluid and the flow becomes more correlated in the streamwise direction.

JFM classification

Non-Newtonian Flows: Non-Newtonian Flows Non-Newtonian Flows: Plastic materials Turbulent Flows: Turbulence simulation
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 853 , 25 October 2018 , pp. 488 - 514
Copyright
© 2018 Cambridge University Press 

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