Naslov
Stochastic solutions of Navier–Stokes equations: An experimental evidence

Autori
Đurek, Ivan ; Đurek, Danijel ; Petošić, Antonio

Izvornik
Chaos (1054-1500) 20 (2010), 4; 43107-1

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
loudspeaker; chaos; navier-stokes

Sažetak
An electrodynamic loudspeaker has been operated in anharmonic regime indicated by the nonlinear ordinary differential equation when spring constant γ in restoring term, as well as, viscoelasticity of the membrane material, increases with displacement. For driving currents in the range of 2.8–3.3 A, doubling of the vibration period appears, while for currents in the range of 3.3–3.6 A, multiple sequences of subharmonic vibrations begin with f/4 and 3f/4. An application of currents higher than 3.6 A results in a spectrum, characteristic for the chaotic state. The loudspeaker was then operated in a closed chamber, and subharmonic vibrations disappeared by an evacuation. Subsequent injection of air revoked them again at ∼ 120 mbar (Re′ = 476) when air viscous forces dominate the Morse convection. At 430 mbar (Re = 538) single vibration state was restored, and the phenomenon is in an agreement with prediction of the five mode truncation procedure applied to the Navier–Stokes equations describing a two-dimensional incompressible fluid.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika, Elektrotehnika

POVEZANOST RADA