Oscillating particles in fluids. Theory and experiment in the entire range of frequency and pressure variation
by
Victor Yakhot(Boston University)
→
Europe/Stockholm
122:026
122:026
Description
Oscillating nano-particles (resonators) can serve as sensors detecting
impurities, viruses etc in various simple fluids like air and, in
principle, water. In the low frequency limit their dynamics are a viscous
process obeying the Navier-Stokes (diffusion) equations. It will be shown
that when the Weissenberg number Wi>>1 this process becomes
visco-elastic described by the generic telegrapher equation. The relation
representing the particle dynamics in the entire range of the Weissenberg
number and/or pressure variation is universal, independent of
particle shape and size. Detailed experimental, theoretical and
numerical studies supporting this conclusion will be presented. The
telegrapher equation emerges also in from derivation of turbulence models.
The role of new terms for describing Raid Distorion Effects will be also
discussed.