The two-dimensional problem of the diffraction of a plane acoustic shock wave by a cylindrical obstacle of arbitrary cross section is considered. An integral equation for the surface values of the pressure is formulated. A major portion of the solution is shown to be contributed by terms in the integral equation which can be evaluated explicitly for a given cross section. The remaining contribution is approximated by a set of successive, nonsimultaneous algebraic equations which are easily solved for a given geometry. The case of a square box with rigid boundaries is solved in this manner for a period of one transit time. The accuracy achieved by the method is indicated by comparison with known analytical solutions for certain special geometries.
Diffraction of Pulses by Cylindrical Obstacles of Arbitrary Cross Section
M. B. Friedman
Institute of Flight Structures, Columbia University, New York, N. Y.
Pratt Institute, Brooklyn, N. Y.
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Friedman, M. B., and Shaw, R. (March 1, 1962). "Diffraction of Pulses by Cylindrical Obstacles of Arbitrary Cross Section." ASME. J. Appl. Mech. March 1962; 29(1): 40–46. https://doi.org/10.1115/1.3636495
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