#### Filter Results:

- Full text PDF available (14)

#### Publication Year

1950

2017

- This year (1)
- Last five years (4)

#### Publication Type

#### Co-author

#### Publication Venue

#### Key Phrases

Learn More

- Bruno Eckhardt, Holger Faisst, Armin Schmiegel, Tobias M Schneider
- Philosophical transactions. Series A…
- 2008

Plane Couette flow and pressure-driven pipe flow are two examples of flows where turbulence sets in while the laminar profile is still linearly stable. Experiments and numerical studies have shown that the transition has features compatible with the formation of a strange saddle rather than an attractor. In particular, the transition depends sensitively on… (More)

- Tobias M Schneider, Bruno Eckhardt, James A Yorke
- Physical review letters
- 2007

The linear stability of pipe flow implies that only perturbations of sufficient strength will trigger the transition to turbulence. In order to determine this threshold in perturbation amplitude we study the edge of chaos which separates perturbations that decay towards the laminar profile and perturbations that trigger turbulence. Using the lifetime as an… (More)

- Tobias M Schneider, John F Gibson, Maher Lagha, Filippo De Lillo, Bruno Eckhardt
- Physical review. E, Statistical, nonlinear, and…
- 2008

We apply the iterated edge-state tracking algorithm to study the boundary between laminar and turbulent dynamics in plane Couette flow at Re=400. Perturbations that are not strong enough to become fully turbulent or weak enough to relaminarize tend toward a hyperbolic coherent structure in state space, termed the edge state, which seems to be unique up to… (More)

- Tobias M Schneider, Bruno Eckhardt, Jürgen Vollmer
- Physical review. E, Statistical, nonlinear, and…
- 2007

Numerical and experimental studies of transitional pipe flow have shown the prevalence of coherent flow structures that are dominated by downstream vortices. They attract special attention because they contribute predominantly to the increase of the Reynolds stresses in turbulent flow. In the present study we introduce a convenient detector for these… (More)

- Tom N Krupenkin, J Ashley Taylor, Tobias M Schneider, Shu Yang
- Langmuir : the ACS journal of surfaces and…
- 2004

In this work, for the first time, a dynamic electrical control of the wetting behavior of liquids on nanostructured surfaces, which spans the entire possible range from the superhydrophobic behavior to nearly complete wetting, has been demonstrated. Moreover, this kind of dynamic control was obtained at voltages as low as 22 V. We have demonstrated that the… (More)

- Björn Hof, Jerry Westerweel, Tobias M Schneider, Bruno Eckhardt
- Nature
- 2006

Generally, the motion of fluids is smooth and laminar at low speeds but becomes highly disordered and turbulent as the velocity increases. The transition from laminar to turbulent flow can involve a sequence of instabilities in which the system realizes progressively more complicated states, or it can occur suddenly. Once the transition has taken place, it… (More)

- Tobias M Schneider, John F Gibson, John Burke
- Physical review letters
- 2010

We demonstrate the existence of a large number of exact solutions of plane Couette flow, which share the topology of known periodic solutions but are localized in one spatial dimension. Solutions of different size are organized in a snakes-and-ladders structure strikingly similar to that observed for simpler pattern-forming partial differential equations.… (More)

- Fernando Mellibovsky, Alvaro Meseguer, Tobias M Schneider, Bruno Eckhardt
- Physical review letters
- 2009

Direct numerical simulation of transitional pipe flow is carried out in a long computational domain in order to characterize the dynamics within the saddle region of phase space that separates laminar flow from turbulent intermittency. For Reynolds numbers ranging from Re=1800 to 2800, a shoot and bisection method is used to compute critical trajectories.… (More)

- Björn Hof, Alberto de Lozar, Marc Avila, Xiaoyun Tu, Tobias M Schneider
- Science
- 2010

Flows through pipes and channels are the most common means to transport fluids in practical applications and equally occur in numerous natural systems. In general, the transfer of fluids is energetically far more efficient if the motion is smooth and laminar because the friction losses are lower. However, even at moderate velocities pipe and channel flows… (More)

- Tobias M. Schneider, Daniel Marinc, Bruno Eckhardta
- 2009

We study the turbulence transition of plane Couette flow in large domains where localised perturbations are observed to generate growing turbulent spots. Extending previous studies on the boundary between laminar and turbulent dynamics we determine invariant structures intermediate between laminar and turbulent flow. In wide but short domains we find states… (More)