There isn't a good approach of which I am aware. To really figure it out you will likely need some aeroacoustic simulations. It's going to depend on the geometry of the orifice, slit, or gap, the geometry of the vessel through which the air is flowing, and the details of that air flow. The whistling is caused by the oscillating of the shear layer that forms at the orifice. The amplitude and frequency of those oscillations as well as whether or not the surroundings are capable of resonating with that frequency are going to determine how audible any whistle is going to be. Depending on the geometry in question, there are going to be a few rules of thumb to help roughly determine the frequency, but that won't give you much information about whether it is going to be audible.