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Tobias Schneider

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Related publications (43)

Self-similar invariant solution in the near-wall region of a turbulent boundary layer at asymptotically high Reynolds numbers

At sufficiently high Reynolds numbers, shear-flow turbulence close to a wall acquires universal properties. When length and velocity are rescaled by appropriate characteristic scales of the turbulent flow and thereby measured in inner units, the statistica ...

Cambridge University Press2020

Interaction and breakup of droplet pairs in a microchannel Y-junction

Tobias Schneider, Simon Sebastian Schütz

We combine theory, numerical simulation, and experiments to investigate the breakup of two identical droplets entering a Y-junction with controlled spatial offset by which the second droplet trails the first. Based on fully resolved 3D simulations, we desc ...

AMER PHYSICAL SOC2020

Invariant states in inclined layer convection. Part 2. Bifurcations and connections between branches of invariant states

Tobias Schneider, Florian Reetz

Convection in a layer inclined against gravity is a thermally driven non-equilibrium system, in which both buoyancy and shear forces drive spatio-temporally complex flows. As a function of the strength of thermal driving and the angle of inclination, a mul ...

Cambridge University Press2020

Buckling instabilities and spatio-temporal dynamics of active elastic filaments

Tobias Schneider

Biological filaments driven by molecular motors tend to experience tangential propulsive forces also known as active follower forces. When such a filament encounters an obstacle, it deforms, which reorients its follower forces and alters its entire motion. ...

ROYAL SOC2020

Exact invariant solution reveals the origin of self-organized oblique turbulent-laminar stripes

Tobias Schneider, Tobias Klaus Kreilos, Florian Reetz

Wall-bounded shear flows transitioning to turbulence may self-organize into alternating turbulent and laminar regions forming a stripe pattern with non-trivial oblique orientation. Different experiments and flow simulations identify oblique stripe patterns ...

Nature Research2019

Origin of localized snakes-and-ladders solutions of plane Couette flow

Tobias Schneider

2019

Rational design of a high-throughput droplet sorter

Tobias Schneider, Simon Sebastian Schütz

The high-throughput selection of individual droplets is an essential function in droplet-based microfluidics. Fluorescence-activated droplet sorting is achieved using electric fields triggered at rates up to 30 kHz, providing the ultra-high throughput rele ...

2019

Edge states control droplet breakup in subcritical extensional flows

François Gallaire, Giacomo Gallino, Tobias Schneider

A fluid droplet suspended in an extensional flow of moderate intensity may break into pieces, depending on the amplitude of the initial droplet deformation. In subcritical uniaxial extensional flow the nonbreaking base state is linearly stable, implying th ...

2018

Computing heteroclinic orbits using adjoint-based methods

Michele De Palma, Tobias Schneider, Mirko Farano

Transitional turbulence in shear flows is supported by a network of unstable exact invariant solutions of the Navier-Stokes equations. The network is interconnected by heteroclinic connections along which the turbulent trajectories evolve between invariant ...

Cambridge University Press2018

Distinct transition in flow statistics and vortex dynamics between low- and high-extent turbulent drag reduction in polymer fluids

Tobias Schneider

Flexible polymer additives are known to reduce the energy dissipation and friction drag in turbulent flows. As the fluid elasticity increases, the flow undergoes several stages of transitions. Much attention in the area has been focused on the onset of dra ...

2018

High-throughput multiplexed fluorescence-activated droplet sorting

Tobias Schneider, Simon Sebastian Schütz

Fluorescence-activated droplet sorting (FADS) is one of the most important features provided by droplet-based microfluidics. However, to date, it does not allow to compete with the high-throughput multiplexed sorting capabilities offered by flow cytometery ...

NATURE PUBLISHING GROUP2018

Stability Landscape of Shell Buckling

Tobias Schneider, Tobias Klaus Kreilos, Emmanuel Georges Albert Virot

2017

Fully localized post-buckling states of cylindrical shells under axial compression

Tobias Schneider, Tobias Klaus Kreilos

2017

Localized travelling waves in the asymptotic suction boundary layer

Tobias Schneider, Tobias Klaus Kreilos

We present two spanwise-localized travelling-wave solutions in the asymptotic suction boundary layer, obtained by continuation of solutions of plane Couette flow. One of the solutions has the vortical structures located close to the wall, similar to spanwi ...

Cambridge University Press2016

Spatio-temporal patterns in inclined layer convection

Tobias Schneider

This paper reports on a theoretical analysis of the rich variety of spatio-temporal patterns observed recently in inclined layer convection at medium Prandtl number when varying the inclination angle gamma and the Rayleigh number R. The present numerical i ...

Cambridge University Press2016

Homoclinic snaking in plane Couette flow: bending, skewing and finite-size effects

Tobias Schneider

Invariant solutions of shear flows have recently been extended from spatially periodic solutions in minimal flow units to spatially localized solutions on extended domains. One set of spanwise-localized solutions of plane Couette flow exhibits homoclinic s ...

Cambridge University Press2016

Femtosecond-laser hyperdoping silicon in an SF6 atmosphere: Dopant incorporation mechanism

Silvija Gradecak, Tobias Schneider

In this paper, we examine the fundamental processes that occur during femtosecond-laser hyperdoping of silicon with a gas-phase dopant precursor. We probe the dopant concentration profile as a function of the number of laser pulses and pressure of the dopa ...

Amer Inst Physics2015

Elastocapillary coalescence of plates and pillars

Tobias Schneider, Ji Hyun Kim

When a fluid-immersed array of supported plates or pillars is dried, evaporation leads to the formation of menisci on the tips of the plates or pillars that bring them together to form complex patterns. Building on prior experimental observations, we use a ...

Royal Soc2015

Creating femtosecond-laser-hyperdoped silicon with a homogeneous doping profile

Tobias Schneider

Femtosecond-laser hyperdoping of sulfur in silicon typically produces a concentration gradient that results in undesirable inhomogeneous material properties. Using a mathematical model of the doping process, we design a fabrication method consisting of a s ...

Amer Inst Physics2015

Infinite geometric frustration in a cubic dipole cluster

Tobias Schneider

The geometric arrangement of interacting (magnetic) dipoles is a question of fundamental importance in physics, chemistry, and engineering. Motivated by recent progress concerning the self-assembly of magnetic structures, the equilibrium orientation of eig ...

American Physical Society2015

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