Inviscid fluid in high frequency excitation field (Q802410)

The influence of high frequency excitations on a fluid is investigated. The response to these excitations is decomposed in two parts: ''slow'' motion, which practically remains unchanged during the vanishingly small period \(\tau\), and ''fast'' motion whose value during this period is negligible in terms of displacements, but is essential in terms of the kinetic energy. After such a decomposition the ''slow'' and ''fast'' motions become nonlinearly coupled by the corresponding governing equations. This coupling leads to an ''effective'' potential energy which imparts some ''elastic'' properties to the fluid and stabilizes laminar flows.