Journal of Fluid Mechanics

Sound generation in a mixing layer

a1 Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125, USA
a2 Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, USA


The sound generated by vortex pairing in a two-dimensional compressible mixing layer is investigated. Direct numerical simulations (DNS) of the Navier–Stokes equations are used to compute both the near-field region and a portion of the acoustic field. The acoustic analogy due to Lilley (1974) is also solved with acoustic sources determined from the near-field data of the DNS. It is shown that several commonly made simplifications to the acoustic sources can lead to erroneous predictions for the acoustic field. Predictions based on the quadrupole form of the source terms derived by Goldstein (1976a, 1984) are in excellent agreement with the acoustic field from the DNS. However, despite the low Mach number of the flow, the acoustic far field generated by the vortex pairings cannot be described by considering compact quadrupole sources. The acoustic sources have the form of modulated wave packets and the acoustic far field is described by a superdirective model (Crighton & Huerre 1990). The presence of flow–acoustic interactions in the computed source terms causes the acoustic field predicted by the acoustic analogy to be very sensitive to small changes in the description of the source.

(Received September 7 1995)
(Revised August 22 1996)


1 Also with Department of Aeronautics and Astronautics, Stanford University.

2 Also with NASA Ames Research Center.