The rise of fully turbulent flow
Dwight Barkley,Baofang Song,Baofang Song,Baofang Song,Vasudevan Mukund,Grégoire Lemoult,Marc Avila,Björn Hof +7 more
TLDR
A bifurcation scenario is uncovered that explains the transformation to fully turbulent pipe flow and the front dynamics of the different states encountered in the process and is bridged between understanding of the onset of turbulence and fully turbulent flows.Abstract:
Over a century of research into the origin of turbulence in wall-bounded shear flows has resulted in a puzzling picture in which turbulence appears in a variety of different states competing with laminar background flow. At moderate flow speeds, turbulence is confined to localized patches; it is only at higher speeds that the entire flow becomes turbulent. The origin of the different states encountered during this transition, the front dynamics of the turbulent regions and the transformation to full turbulence have yet to be explained. By combining experiments, theory and computer simulations, here we uncover a bifurcation scenario that explains the transformation to fully turbulent pipe flow and describe the front dynamics of the different states encountered in the process. Key to resolving this problem is the interpretation of the flow as a bistable system with nonlinear propagation (advection) of turbulent fronts. These findings bridge the gap between our understanding of the onset of turbulence and fully turbulent flows.read more
Citations
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Book ChapterDOI
Boundary Layer Theory
TL;DR: The boundary layer equations for plane, incompressible, and steady flow are described in this paper, where the boundary layer equation for plane incompressibility is defined in terms of boundary layers.
Journal ArticleDOI
Cascades and transitions in turbulent flows
TL;DR: In this article, the authors provide a critical summary of recent work on turbulent flows from a unified point of view and present a classification of all known transfer mechanisms, including direct and inverse energy cascades.
Journal ArticleDOI
Directed percolation phase transition to sustained turbulence in Couette flow
TL;DR: In this article, it was shown that the onset of turbulence is a second-order phase transition and falls into the directed percolation universality class, and that the complex laminar-turbulent patterns distinctive for the onset time of turbulence in basic shear flows are characterized by universal critical exponents.
Journal ArticleDOI
Theoretical perspective on the route to turbulence in a pipe
TL;DR: The route to turbulence in pipe flow is a complex, nonlinear, spatiotemporal process for which an increasingly clear theoretical understanding has emerged as discussed by the authors, exploiting analogies to coexisting thermodynamic phases and to excitable and bistable media.
Journal ArticleDOI
Onset of meso-scale turbulence in active nematics
TL;DR: This work shows how the motion of active matter along a micro-channel transitions to meso-scale turbulence through the evolution of locally disordered patches (active puffs) from an ordered vortex-lattice flow state, and demonstrates that the stationary critical exponents of this transition in a channel coincide with the directed percolation universality class.
References
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Book
Boundary layer theory
TL;DR: The flow laws of the actual flows at high Reynolds numbers differ considerably from those of the laminar flows treated in the preceding part, denoted as turbulence as discussed by the authors, and the actual flow is very different from that of the Poiseuille flow.
Book ChapterDOI
Boundary Layer Theory
TL;DR: The boundary layer equations for plane, incompressible, and steady flow are described in this paper, where the boundary layer equation for plane incompressibility is defined in terms of boundary layers.
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An Experimental Investigation of the Circumstances Which Determine Whether the Motion of Water Shall Be Direct or Sinuous, and of the Law of Resistance in Parallel Channels
TL;DR: In this article, it was shown that the general character of the motion of fluids in contact with solid surfaces depends on the relation between a physical constant of the fluid and the product of the linear dimensions of the space occupied by the fluid.
Journal ArticleDOI
Transition in circular couette flow
TL;DR: In this article, two distinct kinds of transition have been identified in Couette flow between rotating cylinders: the Taylor motion (periodic in the axial direction) and a pattern of travelling waves in the circumferential direction.
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