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Papers by Victor Steinberg
Physical Review E, Nov 29, 2012
Physics of Fluids, Apr 1, 2012
Physical review fluids, Jun 15, 2022
Physical Review E, Nov 28, 2011
Physical review fluids, May 17, 2023
Bulletin of the American Physical Society, Nov 20, 2006
Bulletin of the American Physical Society, Mar 10, 2008
arXiv (Cornell University), Sep 25, 2020
Physical Review Letters, May 16, 1988
Physical Review Letters, Nov 6, 2000
Physical Review Letters, Feb 24, 1997
Physical Review Letters, Sep 18, 1989
Physical Review Letters, Oct 20, 1986
Scientific Reports
An addition of long-chain, flexible polymers strongly affects laminar and turbulent Newtonian flo... more An addition of long-chain, flexible polymers strongly affects laminar and turbulent Newtonian flows. In laminar inertia-less viscoelastic channel flow, the supercritical elastic instability of non-normal eigenmodes of non-Hermitian equations at finite-size perturbations leads to chaotic flow. Then three chaotic flow regimes: transition, elastic turbulence (ET), and drag reduction (DR), accompanied by elastic waves, are observed and characterized. Here we show that independently of external perturbation strength and structure, chaotic flows above the instability onset in transition, ET, and DR flow regimes reveal similar scaling of flow properties, universal scaling of elastic wave speed with Weissenberg number, Wi, defined the degree of polymer stretching, and the coherent structure of velocity fluctuations, self-organized into cycling self-sustained process, synchronized by elastic waves. These properties persist over the entire channel length above the instability threshold. It me...
Low Temperature Physics
We shortly describe the main results on elastically driven instabilities and elastic turbulence i... more We shortly describe the main results on elastically driven instabilities and elastic turbulence in viscoelastic inertialess flows with curved streamlines. Then we describe a theory of elastic turbulence and prediction of elastic waves Re ≪ 1 and Wi ≫ 1, which speed depends on the elastic stress similar to the Alfvén waves in magneto-hydrodynamics and in a contrast to all other, which speed depends on medium elasticity. Since the established and testified mechanism of elastic instability of viscoelastic flows with curvilinear streamlines becomes ineffective at zero curvature, so parallel shear flows are proved linearly stable, similar to Newtonian parallel shear flows. However, the linear stability of parallel shear flows does not imply their global stability. Here we switch to the main subject, namely a recent development in inertialess parallel shear channel flow of polymer solutions. In such flow, we discover an elastically driven instability, elastic turbulence, elastic waves, an...
arXiv (Cornell University), Jun 3, 2021
Research Square (Research Square), Jan 27, 2023
Inertia-less viscoelastic pipe and channel flows exhibit a non-normal mode elastic instability in... more Inertia-less viscoelastic pipe and channel flows exhibit a non-normal mode elastic instability independent of perturbation strength and despite their linear stability. The non-modal instability is identified mostly by a direct transition from laminar to chaotic flows. At higher velocities, transitions to elastic turbulence and further drag reduction occur accompanied by elastic waves in three regimes. Here we demonstrate experimentally that the elastic waves play a key role in amplifying wall-normal vorticity fluctuations by resonant pumping of energy, withdrawn from the mean flow, into wall-normal fluctuating vortices. Indeed, the flow resistance and rotational part of the wall-normal vorticity fluctuations depend linearly on the intensity of elastic waves in three regimes. The higher (lower) the elastic wave intensity, the larger (smaller) the flow resistance and rotational vorticity fluctuations. The suggested physical mechanism of the resonant vortex amplification by the elastic waves above the instability onset in three flow regimes recalls the Landau damping in magnetized relativistic plasma. It is universal not only for various viscoelastic parallel shear flows but also generally for flows with both transverse waves and wall-normal vortices, such as the Alfven waves interacting with vortices in turbulent magnetized plasma.
arXiv (Cornell University), Aug 22, 2021
Viscoelastic fluids are a common subclass of rheologically complex materials that are encountered... more Viscoelastic fluids are a common subclass of rheologically complex materials that are encountered in diverse fields from biology to polymer processing. Often the flows of viscoelastic fluids are unstable in situations where ordinary Newtonian fluids are stable, owing to the nonlinear coupling of the elastic and viscous stresses. Perhaps more surprisingly, the instabilities produce flows with the hallmarks of turbulence-even though the effective Reynolds numbers may be O(1) or smaller. We provide perspectives on viscoelastic flow instabilities by integrating the input from speakers at a recent international workshop: historical remarks, characterization of fluids and flows, discussion of experimental and simulation tools, and modern questions and puzzles that motivate further studies of this fascinating subject. The materials here will be useful for researchers and educators alike, especially as the subject continues to evolve in both fundamental understanding and applications in engineering and the sciences. I.
APS Division of Fluid Dynamics Meeting Abstracts, Nov 1, 2002
Physical Review E, Nov 29, 2012
Physics of Fluids, Apr 1, 2012
Physical review fluids, Jun 15, 2022
Physical Review E, Nov 28, 2011
Physical review fluids, May 17, 2023
Bulletin of the American Physical Society, Nov 20, 2006
Bulletin of the American Physical Society, Mar 10, 2008
arXiv (Cornell University), Sep 25, 2020
Physical Review Letters, May 16, 1988
Physical Review Letters, Nov 6, 2000
Physical Review Letters, Feb 24, 1997
Physical Review Letters, Sep 18, 1989
Physical Review Letters, Oct 20, 1986
Scientific Reports
An addition of long-chain, flexible polymers strongly affects laminar and turbulent Newtonian flo... more An addition of long-chain, flexible polymers strongly affects laminar and turbulent Newtonian flows. In laminar inertia-less viscoelastic channel flow, the supercritical elastic instability of non-normal eigenmodes of non-Hermitian equations at finite-size perturbations leads to chaotic flow. Then three chaotic flow regimes: transition, elastic turbulence (ET), and drag reduction (DR), accompanied by elastic waves, are observed and characterized. Here we show that independently of external perturbation strength and structure, chaotic flows above the instability onset in transition, ET, and DR flow regimes reveal similar scaling of flow properties, universal scaling of elastic wave speed with Weissenberg number, Wi, defined the degree of polymer stretching, and the coherent structure of velocity fluctuations, self-organized into cycling self-sustained process, synchronized by elastic waves. These properties persist over the entire channel length above the instability threshold. It me...
Low Temperature Physics
We shortly describe the main results on elastically driven instabilities and elastic turbulence i... more We shortly describe the main results on elastically driven instabilities and elastic turbulence in viscoelastic inertialess flows with curved streamlines. Then we describe a theory of elastic turbulence and prediction of elastic waves Re ≪ 1 and Wi ≫ 1, which speed depends on the elastic stress similar to the Alfvén waves in magneto-hydrodynamics and in a contrast to all other, which speed depends on medium elasticity. Since the established and testified mechanism of elastic instability of viscoelastic flows with curvilinear streamlines becomes ineffective at zero curvature, so parallel shear flows are proved linearly stable, similar to Newtonian parallel shear flows. However, the linear stability of parallel shear flows does not imply their global stability. Here we switch to the main subject, namely a recent development in inertialess parallel shear channel flow of polymer solutions. In such flow, we discover an elastically driven instability, elastic turbulence, elastic waves, an...
arXiv (Cornell University), Jun 3, 2021
Research Square (Research Square), Jan 27, 2023
Inertia-less viscoelastic pipe and channel flows exhibit a non-normal mode elastic instability in... more Inertia-less viscoelastic pipe and channel flows exhibit a non-normal mode elastic instability independent of perturbation strength and despite their linear stability. The non-modal instability is identified mostly by a direct transition from laminar to chaotic flows. At higher velocities, transitions to elastic turbulence and further drag reduction occur accompanied by elastic waves in three regimes. Here we demonstrate experimentally that the elastic waves play a key role in amplifying wall-normal vorticity fluctuations by resonant pumping of energy, withdrawn from the mean flow, into wall-normal fluctuating vortices. Indeed, the flow resistance and rotational part of the wall-normal vorticity fluctuations depend linearly on the intensity of elastic waves in three regimes. The higher (lower) the elastic wave intensity, the larger (smaller) the flow resistance and rotational vorticity fluctuations. The suggested physical mechanism of the resonant vortex amplification by the elastic waves above the instability onset in three flow regimes recalls the Landau damping in magnetized relativistic plasma. It is universal not only for various viscoelastic parallel shear flows but also generally for flows with both transverse waves and wall-normal vortices, such as the Alfven waves interacting with vortices in turbulent magnetized plasma.
arXiv (Cornell University), Aug 22, 2021
Viscoelastic fluids are a common subclass of rheologically complex materials that are encountered... more Viscoelastic fluids are a common subclass of rheologically complex materials that are encountered in diverse fields from biology to polymer processing. Often the flows of viscoelastic fluids are unstable in situations where ordinary Newtonian fluids are stable, owing to the nonlinear coupling of the elastic and viscous stresses. Perhaps more surprisingly, the instabilities produce flows with the hallmarks of turbulence-even though the effective Reynolds numbers may be O(1) or smaller. We provide perspectives on viscoelastic flow instabilities by integrating the input from speakers at a recent international workshop: historical remarks, characterization of fluids and flows, discussion of experimental and simulation tools, and modern questions and puzzles that motivate further studies of this fascinating subject. The materials here will be useful for researchers and educators alike, especially as the subject continues to evolve in both fundamental understanding and applications in engineering and the sciences. I.
APS Division of Fluid Dynamics Meeting Abstracts, Nov 1, 2002