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Internal waves generated in an exponentially stratified fluid by an arbitrarily moving source

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Abstract

A theoretical investigation is made into the development of linear internal waves in an exponentially stratified flow of an ideal incompressible fluid in the Boussinesq approximation. The waves are generated by an arbitrarily moving point mass source. The obtained solution is used to investigate three special cases of motion: uniform motion at an angle to the horizontal, nonstationary motion during a finite interval of time, and uniform motion in a circular path. The method of solution of this problem is similar to that used by Wolfe and Lewis [1], who studied the generation of acoustic waves.

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Literature cited

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 67–74, May–June, 1980.

I thank V. V. Sazonov for assistance in the calculations.

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Sturova, I.V. Internal waves generated in an exponentially stratified fluid by an arbitrarily moving source. Fluid Dyn 15, 378–383 (1980). https://doi.org/10.1007/BF01089971

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  • DOI: https://doi.org/10.1007/BF01089971

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