More simulations...

Acoustic piston

This images present the pressure field of a radiating acoustic piston, i.e. a radiating surface. The radiation of the source depends on the surface radius \((a)\) and the angular frequency \((w)\) of the emitted wave. Thus, the pressure \(p\) in the far field can be estimated by the following formula:

\[{ p (r, \theta ) } = { j \omega \rho_0 a^2 v_n { J_1 (k a \sin \theta) \over k a \sin \theta } { e^{ j k r } \over r } }\]

where \( \omega\) is the angular frequency, \(J_1\) is the first order Bessel function

3D acoustic volume rendering for acoustic plane source

acoustic piston 3D vulume rendering ka 1 acoustic piston 3D vulume rendering ka 5

Acoustic field for \(\kappa a = 1\) and \(\kappa a = 5\)

acoustic piston 3D vulume rendering ka 10 acoustic piston 3D vulume rendering ka 15

Acoustic field for \(\kappa a = 10\) and \(\kappa a = 15\)

Piston for \(\kappa a = 1\)

acoustic piston pressure field for ka1 acoustic piston absolute pressure for ka1 Particle motion in a acoustic piston of ka1

Piston for \(\kappa a = 5\)

acoustic piston pressure field for ka5 acoustic piston absolute pressure for ka5 Particle motion in a acoustic piston of ka5

Piston for \(\kappa a = 10\)

acoustic piston pressure field for ka10 acoustic piston absolute pressure for ka10 Particle motion in a acoustic piston of ka10

Piston for \(\kappa a = 15\)

acoustic piston pressure field for ka15 acoustic piston absolute pressure for ka15 Particle motion in a acoustic piston of ka15

More simulations...