Abstract
A generalization of Laplace's formula applicable to vibrating surfaces was used to develop expressions for the equilibrium shape and position of drops and bubbles in a resonant rectangular chamber. Expanding various physical quantities in terms of spherical harmonics and applying the quantum‐mechanical angular‐momentum gradient formula leads to tractable expressions valid for large as well as small ka. New results for volume renormalization of drops and bubbles were also derived. The analysis takes into account acoustic radiation, surface tension, gravity, and compressibility effects. Salient features of this theory applicable to acoustic levitation will be presented. Calculated shape properties will be compared to existing results of one‐dimensional theories. Also, the acoustic force dependence on ka, obtained from equilibrium position calculations, will be compared to Hasegawa's results. [Work supported by NASA.]
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