Propagation of sound waves through a linear shear layer  A closed form solution
Abstract
Closed form solutions are presented for sound propagation from a line source in or near a shear layer. The analysis is exact for all frequencies and is developed assuming a linear velocity profile in the shear layer. This assumption allows the solution to be expressed in terms of parabolic cylinder functions. The solution is presented for a line monopole source first embedded in the uniform flow and then in the shear layer. Solutions are also discussed for certain types of dipole and quadrupole sources. Asymptotic expansions of the exact solutions for small and large values of Strouhal number give expressions which correspond to solutions previously obtained for these limiting cases.
 Publication:

AIAA, Aerospace Sciences Meeting
 Pub Date:
 January 1978
 Bibcode:
 1978aiaa.meetT....S
 Keywords:

 Aeroacoustics;
 Aircraft Noise;
 Engine Noise;
 Shear Layers;
 Sound Propagation;
 Audio Frequencies;
 Far Fields;
 Monopoles;
 Multipoles;
 Pressure Distribution;
 Sound Generators;
 Sound Pressure;
 Strouhal Number;
 Turbofan Engines;
 Uniform Flow;
 Acoustics