Abstract
An analytical solution with high accuracy which holds for any values of ɛfor fluid-dynamics model equation in a single semicircular canal presented by Buskirk and his co-workers has been obtained It not only includes all of the results of Buskirk et al. but also covers three possible kinds of dynamical response modes in practice. The theoretical results are in better agreement with those of experimental observations. This investigation has laid a reliable theoretical foundation for quantitatively understanding fluid-dynamics in semicircular canal, especially fluid dynamical response. The distribution of the velocity of the endolymph in semicircular canal is given. A nonstandard method of the inverse Laplace transform is presented.
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Xu, M., Tan, W. The problem of fluid-dynamics in semicircular canal. Sci. China Ser. A-Math. 43, 517–526 (2000). https://doi.org/10.1007/BF02897143
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DOI: https://doi.org/10.1007/BF02897143