Nonlinear dynamics of free liquid surfaces: Controlled splitting of a liquid jet
Final Report Abstract
Main results of my DFG funded work include: • Explained leakage currents in electrospinning experiments by secondary jet ejection due to an electrically induced surface instability. • Constructed the first exact 3D nonlinear solution of the Navier-Stokes equations that is localized in space. Significance: Opens route towards generalizing the emerging dynamical systems picture of turbulence to capture spatio-temporal features of the flow. • Found pattern-format ion mechanism (homoclinic snaking) known from simple PDE models such as the Swift-Hohenberg equation in Navier-Stokes dynamics. Significance: Possible route towards explaining regular laminar-turbulent patterns in shear flows. • Demonstrated that turbulent flow in a pipe can be completely relaminarized on demand. Signiflcance: Developing novel turbulence control structures. Extended press coverage including a live radio interview with the BBC • Developed an algorithm that allows fabricating arbitrary microstructures using microfluidic flow control.
Publications
- Folded edge of turbulence in a pipe. Phys. Rev. Lett., 105:174502, 2010
Y. Tasaka, T. M. Schneider and T. Mullin
- On the measured current in electrospinning. J. Appl. Phys., 107:044306, 2010
P.K. Bhattacharjee, T. M. Schneider, M. P. Brenner, G. H. McKinley and G. Rutledge
- Snakes and ladders: Localized solutions of plane Couette flow. Phys. Rev. Lett., 104:104501, 2010
T. M. Schneider, J. F. Gibson and J. Burke
