Scaling of Turbulence Moments in Compressible Axisymmetric Jets

Self-preservation of the axisymmetric jet is revisited to derive scaling laws for compressibility effects. While compressibility acts to attenuate turbulence levels, there is no consensus in the proposed scaling of the Reynolds stresses and other turbulence moments. Whereas earlier studies rely on empirical evidence, similarity analysis describes compressibility effects through the spreading rate and finds different scaling depending on the direction and order of the velocity moment. The scaling laws for second and third velocity moments are then validated with experimental results, providing new insights on Reynolds stress anisotropy.