Tobias Schneider

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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, Florian Reetz, Tobias Klaus Kreilos

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, Tobias Schneider, Giacomo Gallino

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

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Edge states control droplet breakup in subcritical extensional flows

François Gallaire, Tobias Schneider, Giacomo Gallino

2018

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

Tobias Schneider, Simon Sebastian Schütz

AMER PHYSICAL SOC2020

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

Tobias Schneider, Sajjad Azimi

Cambridge University Press2020

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

Tobias Schneider

2018