Although a fluid layer can be very thin or viscosity strong, if energy is pumped into the system inertial modes will be excited. Some examples include the viscous hydraulic jump and Faraday instability. We have been sucessful to obtain the minimal linear equations that describe those phenomena, but now our aim is to find the set of equations which contain the full nonlinear behavior.

People involved

Enrique Cerda (Universidad de Santiago)
Nicolás Rojas (Universidad de Chile)
Enrique Tirapegui (Universidad de Chile)

References

"Universal Pinching of 3D Axisymmetric Free Surface Flow", Eggers, J. 1993. Physical Review Letters, 71, 3458.

"Faraday Instability for Viscous Fluids", Cerda, E. and Tirapegui E., 1997. Physical Review Letters, 78, 859.

"Averaging theory for the structure of hydraulic jumps and separation in laminar free-surface", Bohr, T., Putkaradze, V. and Watanabe, S. 1997. Physical Review Letters, 79,1038-1041.