A good discussion of aerodynamic screech noise from an orifice can be found in:
Succi,G.P., "Flow-Generated Noise in Circular Cavities or How Teapots Whistle, Noise Control Engineering Journal, Jan.-Feb. 1986, pp.8-16.
Succi says in essence that the screech phenomenon is characterized by high amplitude narrowband peaks typically 50dB above the broadband noise level caused when acoustic pressure reacts back on the fluid flow to produce a coupled, feedback oscillation. For orifice screech, the length to diameter ratio must be between 0.5 and 2.0 where whistling occurred over a range of Reynold's Numbers from 55,000 to 240,000. It is essential that the inlet to the orifice be sharp-edged for the best production of screech tones. Pipe axial acoustic modes serve as the triggering frequencies for screech tones starting at airflow Mach numbers ranging from about 0.2 to 0.8 in Succi's tests of orifice L/D ratios of 0.5, 1.0 and 2.0