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Related papers: Mixing in viscoelastic fluids using elastic turbul…

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We report the onset of elastic turbulence in a two-dimensional Taylor-Couette geometry using numerical solutions of the Oldroyd-B model, also performed at high Weissenberg numbers with the program OpenFOAM. Beyond a critical Weissenberg…

Fluid Dynamics · Physics 2018-11-14 R. van Buel , C. Schaaf , H. Stark

We present the full three-dimensional numerical investigation of the von Karman swirling flow between two parallel plates using the Oldroyd-B model and characterize the onset and development of elastic turbulence. We quantify the flow state…

Fluid Dynamics · Physics 2022-05-11 Reinier van Buel , Holger Stark

We investigate the dynamics of the two-dimensional periodic Kolmogorov flow of a viscoelastic fluid, described by the Oldroyd-B model, by means of direct numerical simulations. Above a critical Weissenberg number the flow displays a…

Chaotic Dynamics · Physics 2015-05-19 S. Berti , G. Boffetta

We demonstrate through numerical solutions of the Oldroyd-B model in a two-dimensional Taylor-Couette geometry that the onset of elastic turbulence in a viscoelastic fluid can be controlled by imposed shear-rate modulations. While for slow…

Fluid Dynamics · Physics 2019-12-17 Reinier van Buel , Holger Stark

We report evidence of irregular unsteady flow of two-dimensional polymer solutions in the absence of inertia in cross-slot geometry using numerical simulations of Oldroyd-B model. By exploring the transition to time-dependent flow versus…

Soft Condensed Matter · Physics 2021-02-10 Dário Oliveira Canossi , Gilmar Mompean , Stefano Berti

Elastic turbulence is a spatially and temporally disordered flow state appearing in viscoelastic fluids at vanishing fluid inertia and large elasticity. The resulting flows have broad technological interest, particularly to enhance mixing…

Fluid Dynamics · Physics 2026-04-02 Zhongxuan Hou , Stefano Berti , Teodor Burghelea , Francesco Romanò

We numerically investigate the spatial and temporal statistical properties of a dilute polymer solution in the elastic turbulence regime, i.e., in the chaotic flow state occurring at vanishing Reynolds and high Weissenberg numbers. We aim…

Fluid Dynamics · Physics 2021-09-09 Himani Garg , Enrico Calzavarini , Stefano Berti

We show that, at low inertia and large elasticity, shell models of viscoelastic fluids develop a chaotic behaviour with properties similar to those of elastic turbulence. The low dimensionality of shell models allows us to explore a wide…

Fluid Dynamics · Physics 2016-03-08 Samriddhi Sankar Ray , Dario Vincenzi

We study the clustering properties of inertial particles in a turbulent viscoelastic fluid. The investigation is carried out by means of direct numerical simulations of turbulence in the Oldroyd-B model. The effects of polymers on the small…

Chaotic Dynamics · Physics 2012-03-22 F. De Lillo , G. Boffetta , S. Musacchio

The aggregation properties of heavy inertial particles in the elastic turbulence regime of an Oldroyd-B fluid with periodic Kolmogorov mean flow are investigated by means of extensive numerical simulations in two dimensions. Both the small…

Fluid Dynamics · Physics 2018-10-03 Himani Garg , Enrico Calzavarini , Gilmar Mompean , Stefano Berti

We investigate the effect of polymer additives on a two-dimensional Kolmogorov flow at very low Reynolds numbers by direct numerical simulations of the Oldroyd-B viscoelastic model. We find that above the elastic instability threshold the…

Chaotic Dynamics · Physics 2010-06-23 S. Berti , A. Bistagnino , G. Boffetta , A. Celani , S. Musacchio

We investigate previously unclarified effects of fluid elasticity on shear-thickening in dilute suspensions in an Oldroyd-B viscoelastic fluid using a novel direct numerical simulation based on the smoothed profile method. Fluid elasticity…

Soft Condensed Matter · Physics 2020-12-21 Yuki Matsuoka , Yasuya Nakayama , Toshihisa Kajiwara

An alternative step in understanding the flows of near wall drag-reducing turbulence can be examining the flow in a well-organized streamwise vortex with a laminar background. Herein, we studied the flow behaviors of the Giesekus…

Fluid Dynamics · Physics 2019-09-11 Tomohiro Nimura , Takuya Kawata , Takahiro Tsukahara

In the past fifteen years, flow instabilities reminiscent of the Taylor-like instabilities driven by hoop stresses, have been observed in wormlike micelles based on surfactant molecules. In particular, purely elastic instabilities and…

Soft Condensed Matter · Physics 2025-09-18 Xiaoxiao Yang , Darius Marin , Charlotte Py , Olivier Cardoso , Anke Lindner , Sandra Lerouge

Elastic turbulence is a chaotic flow state observed in dilute polymer solutions in the absence of inertia. It was discovered experimentally in circular geometries and has long been thought to require a finite amplitude perturbation in…

Fluid Dynamics · Physics 2023-08-08 Miguel Beneitez , Jacob Page , Rich R. Kerswell

Mixing at the microfluidic scale is challenging due to the low Reynolds numbers and often high P\'eclet numbers. Without turbulence, mixing relies solely on diffusion, resulting in slow and inefficient mixing. We demonstrate enhanced mixing…

Fluid Dynamics · Physics 2026-03-18 Enrico Turato , Christelle N. Prinz , Jason P. Beech , Jonas. O Tegenfeldt

The effects of polymer additives on Rayleigh--Taylor (RT) instability of immiscible fluids is investigated using the Oldroyd-B viscoelastic model. Analytic results obtained exploiting the phase-field approach show that in polymer solution…

Chaotic Dynamics · Physics 2015-05-14 G. Boffetta , A. Mazzino , S. Musacchio , L. Vozella

Elastic turbulence has been found in computations of planar viscoelastic Taylor-Couette flow using the Oldroyd-B model, apparently generated by a linear instability (van Buel et al. Europhys. Lett., 124, 14001, 2018). We demonstrate that no…

Fluid Dynamics · Physics 2025-07-08 Miguel Beneitez , Soufiane Mrini , Rich R. Kerswell

We investigate theoretically the near-wall region in elastic turbulence of a dilute polymer solution in the limit of large Weissenberg number. As it was established experimentally, elastic turbulence possesses a boundary layer where the…

Fluid Dynamics · Physics 2019-02-20 S. Belan , A. Chernykh , V. Lebedev

The steady flow of three viscoelastic fluids (Oldroyd-B, FENE-P, and Owens model for blood) in a two-dimensional channel, partly bound by a deformable, finite thickness neo-Hookean solid, is computed. The limiting Weissenberg number beyond…

Soft Condensed Matter · Physics 2020-07-03 Debadi Chakraborty , J. Ravi Prakash
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