Abstract
This paper demonstrates the merit of "matched asymptotic expansions" by applying the method to the analysis of the acoustical coupling between vibrating pistons. The accuracy of the method is verified by comparing the results of this study with existing solutions. The method uses the disparity between the characteristic length scale of the nearly incompressible fluid motion near the piston and that of the far field acoustic pressure. The velocity potential in each region is developed in terms of a singular perturbation expansion. Finally, the combination of the locally valid solutions leads to a global solution.
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