A continuous acoustic signal propagating through turbulence is scattered by variations in the flow velocity. The scattered signal is Doppler shifted in a random manner due to the turbulent motion of the scatterers, thus giving rise to spectral broadening. Since the scattered component is usually quite small in underwater acoustics, the method of small perturbations was used. A theoretical estimate of the power spectrum of the scattered signal was derived for a sound wave propagating in a wake, and also for the case of propagation in a jet. Some experimental results were obtained, and compared with the theoretical estimates. [Work supported by Naval Sea Systems Command.]