Abstract
The problem of the interaction of two pulsating spheres in an ideal incompressible fluid was first investigated in detail by Bjerknes [1]. However, his and subsequent studies on this subject [2–5] were restricted to the interaction forces between the spheres, whereas the law of their motion was not considered because of the much greater complexity of the corresponding problem. The aim of the present paper is to find an approximate analytic solution to the problem of the motion of two pulsating spheres in an ideal incompressible fluid filling the entire space exterior to the spheres under the assumption that the flow of the fluid is irrotational.
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Literature cited
V. Bjerknes, Vorlesungen über hydrodynamische Fernkräfte, Vols. 1 and 2, Barth, Leipzig (1900, 1902), pp. 338, 316.
Acoustic Coagulation of Aerosols [in Russian], Goskhimizdat, Moscow (1961), p. 184.
E. P. Mednikov, Acoustic Coagulation and Precipitation of Aerosols [in Russian], Izd. Akad. Nauk SSSR, Moscow (1963), p. 263.
Applied Acoustics [Collected Papers], No. 1 [in Russian], Taganrog (1968), p. 256.
M. A. Mironov, “Bjerknes forces in a viscous medium and acoustic coagulation of aerosols,” Akust. Zh.,22, 941 (1976).
H. Lamb, Hydrodynamics, Dover (1932).
L. E. Sedov, Similarity and Dimensional Methods, London (1959).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 159–162, May–June, 1983.
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Burov, A.V. Motion of two pulsating spheres in an ideal incompressible fluid. Fluid Dyn 18, 472–475 (1983). https://doi.org/10.1007/BF01090574
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DOI: https://doi.org/10.1007/BF01090574