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Hydraulic formulae for the added masses of an impermeable sphere moving near a plane wall

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Simple formulae for the components of the added-mass coefficient tensor of a sphere moving near a wall with variable velocity in an ideal fluid bounded by a solid surface are derived. The added mass is calculated numerically as a function of the dimensionless distance between the sphere and the wall for both perpendicular and parallel motions. The calculation is performed by the method of successive images. The velocity field is computed as the sum of the velocity fields of sequences of dipoles located along the axis. The obtained dependences of the added-mass tensor components are fitted by simple continuous functions with high accuracy.

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Correspondence to Alexander Andreevich Kharlamov.

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Kharlamov, A.A., Chára, Z. & Vlasák, P. Hydraulic formulae for the added masses of an impermeable sphere moving near a plane wall. J Eng Math 62, 161–172 (2008).

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