The purpose of this contribution is to summarize and discuss recent advances regarding the onset of turbulence in shear flows. The absence of a clear-cut instability mechanism, the spatio-temporal intermittent character and extremely long lived transients are some of the major difficulties encountered in these flows and have hindered progress towards understanding the transition process. We will show for the case of pipe flow that concepts from nonlinear dynamics and statistical physics can help to explain the onset of turbulence. In particular, the turbulent structures (puffs) observed close to onset are spatially localized chaotic transients and their lifetimes increase super-exponentially with Reynolds number. At the same time fluctuatio...
In many shear flows like pipe flow, plane Couette flow, plane Poiseuille flow, etc. turbulence emer...
The subcritical transition to turbulence, as occurs in pipe flow, is believed to generically be a ph...
The study of the transition to turbulence in parallel shear flows without linear instability of the ...
The purpose of this contribution is to summarize and discuss recent advances regarding the onset of ...
The purpose of this contribution is to summarize and discuss recent advances regarding the onset of ...
The purpose of this contribution is to summarize and discuss recent advances regarding the onset of ...
In pipes, turbulence sets in despite the linear stability of the laminar Hagen–Poiseuille flow. The ...
Shear flows undergo a sudden transition from laminar to turbulent motion as the velocity increases, ...
Transition to turbulence in pipe flow has puzzled scientists since the studies of Hagen, Poiseuille ...
Transition to turbulence in pipe flow has puzzled scientists since the studies of Hagen, Poiseuille ...
Transition to turbulence in pipe flow has puzzled scientists since the studies of Hagen, Poiseuille ...
The collapse of turbulence, observable in shear flows at low Reynolds numbers, raises the question i...
The collapse of turbulence, observable in shear flows at low Reynolds numbers, raises the question i...
When fluid flows through a channel, pipe, or duct, there are two basic forms of motion: smooth lamin...
Near the onset to turbulence in pipes, around Re = 1700-2000, turbulent puffs decay either directly ...
In many shear flows like pipe flow, plane Couette flow, plane Poiseuille flow, etc. turbulence emer...
The subcritical transition to turbulence, as occurs in pipe flow, is believed to generically be a ph...
The study of the transition to turbulence in parallel shear flows without linear instability of the ...
The purpose of this contribution is to summarize and discuss recent advances regarding the onset of ...
The purpose of this contribution is to summarize and discuss recent advances regarding the onset of ...
The purpose of this contribution is to summarize and discuss recent advances regarding the onset of ...
In pipes, turbulence sets in despite the linear stability of the laminar Hagen–Poiseuille flow. The ...
Shear flows undergo a sudden transition from laminar to turbulent motion as the velocity increases, ...
Transition to turbulence in pipe flow has puzzled scientists since the studies of Hagen, Poiseuille ...
Transition to turbulence in pipe flow has puzzled scientists since the studies of Hagen, Poiseuille ...
Transition to turbulence in pipe flow has puzzled scientists since the studies of Hagen, Poiseuille ...
The collapse of turbulence, observable in shear flows at low Reynolds numbers, raises the question i...
The collapse of turbulence, observable in shear flows at low Reynolds numbers, raises the question i...
When fluid flows through a channel, pipe, or duct, there are two basic forms of motion: smooth lamin...
Near the onset to turbulence in pipes, around Re = 1700-2000, turbulent puffs decay either directly ...
In many shear flows like pipe flow, plane Couette flow, plane Poiseuille flow, etc. turbulence emer...
The subcritical transition to turbulence, as occurs in pipe flow, is believed to generically be a ph...
The study of the transition to turbulence in parallel shear flows without linear instability of the ...