Local and average convective diffusive mass transfer rates are analyzed numerically for high Peclet number acoustic streaming flow between two concentric cylinders. The streaming flows analyzed are for low to moderate streaming Reynolds numbers, where counter-rotating inner and outer recirculating flow cells exist. Thin concentration boundary layers form at the inner cylinder surface, across the streamline that divides the inner and outer flow cells, and at the outer cylinder surface. The core of each recirculating flow cell contains a well-mixed region of nearly uniform composition. The numerical results are used to develop Sherwood number correlations that relate convective mass transfer rates to dimensionless forms of the oscillation amplitude, oscillation frequency, and physical properties of the system. Numerical results are shown to agree with published experimental results.