Class UnflangedOpenEnd

Unflanged open end radiation impedance models

References:

J. Dalmont and C.J. Nederveen, "Radiation impedance of tubes with different flanges: numerical and experimental investigations ," Journal of Sound and Vibration, vol. 244, pp. 505-534, 2001.
R. Caussé, J. Kergomard, and X. Lurton, "Input impedance of brass musical instruments - Comparaison between experimental and numerical models," J. Acoust. Soc. Am., vol. 75, pp. 241-254, 1984.
H. Levine and J. Schwinger, On the radiation of sound from an unflanged circular pipe. Phys. Rev., 73(4), pp. 383-406, 1948.

TODO: implement the exact solution from Levine and Schwinger

Instance Methods

__init__(self, d, model='Dalmont_Nederveen', m=1.0)
Radiation from an unflanged open pipe (Levine and schwinger) source code

__call__(self, f, T)

source code

TM(self, f, T)

source code

Z_Dalmont_Nederveen(self, f, T)
Unflanged pipe radiation impedance approximation (ka < 3.5) from Dalmont and Nederveen

source code

Z_Causse(self, f, T)
Unflanged pipe radiation impedance approximation (ka < 1.5) from Causse & al.

source code

Z_Levine_Schwinger(self, f, T)

source code

Method Details

Radiation from an unflanged open pipe (Levine and schwinger)

Parameters:

d - diameter of the open end
m - multiplication factor (to take care of sperical wave, approximation from Causse)

Unflanged pipe radiation impedance approximation (ka < 3.5) from Dalmont and Nederveen

R = -|R0|exp(-2j*ka*delta), where delta is the frequency dependant length correction

See reference [1] page 509

Unflanged pipe radiation impedance approximation (ka < 1.5) from Causse & al. See [2]