This lecture attempts to correct widespread misunderstanding of the nature of acoustic streaming, and to provide an adequate theoretical treatment of the vigorous, and usually turbulent, jet-like winds that are generated by powerful ultrasonic sources in air. It is appropriate to recognize (section 2) that there are two different kinds of mean motion (Lagrangian and Eulerian), differing by a multiple of the acoustic intensity (equation (16)); but much more important to recognize that both kinds vastly exceed this difference between them in typical cases of acoustic streaming. Acoustic streaming is forces by the action of a Reynolds stress, defined as the mean value of the acoustic momentum flux; but it is exclusively the dissipation of acoustic energy flux that permits gradients in momentum flux to force acoustic streaming motions (section 3). On the other hand, these do not tend to zero as a dissipation coefficient such as the viscosity μ tends to zero, because resistance to the motions so forced itself depends on μ; note also that several other mechanisms of acoustic energy dissipation need to be taken into account (section 4). The classical treatment [1, Nyborg 1953; 2, Westervelt 1953], of acoustic streaming due to the action of Reynolds stress forcing resisted by viscosity, ignored the effect of the fluid's inertia on the streaming motions. That theory is further developed in section 5, but shown to be valid only for acoustic sources of very low power. For high ultrasonic frequencies in fact (section 6), that theory is applicable only for powers up to 10 −6; by contrast, the acoustic streaming motion takes the form of an inertially dominated jet at powers above 3 × 10 −5W, and this becomes a turbulent jet above 4 × 10 −4W. Section 7 gives a comprehensive treatment of turbulent jets produced as attenuation of the energy flow in a general acoustic beam makes momentum flow available to force streming motions. Schlichting's relationship between eddy viscosity and momentum flow rate is used to obtain descriptions of the motion which are satisfactorily compared with observations of the powerful streaming generated by a 2W source at 20 kHz. The lecture's main purpose, then, is to explain how turbulent jets are generated by sound (the opposite of the more familiar process!). The lecture concludes, however, with a review of modern developments in the other main type of acoustic streaming, associated with the interactions between sound waves and solid boundaries (section 8). These are still dominated by the important equation (94) for the streaming motion's effective “slip” at the boundary, given originally in the second edition of Rayleigh's Theory of Sound [3].