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The motion of a spheroid in a viscous incompressible fluid after a suddensmall impulse in the direction of the symmetry axis is studied on the basis ofthe linearized Navier-Stokes equations. The time-dependence of the spheroidvelocity follows by a Fourier transform from the frequency- dependence of theimpedance involving friction coefficient, body mass, and added fluid mass. Aterm proportional to the square root of frequency in the asymptotic highfrequency expansion of the impedance, with a Basset coefficient, describes theinitial decay in time from the initial value determined by the effective mass.It is shown from numerical evidence based on the exact multipole expansion ofthe solution for the flow field in terms of spheroidal wavefunctions that theknowledge of the Basset coefficient is insufficient for a reliable estimate ofthe deviations from a simple two-pole approximation to the complete behavior intime. The two-pole approximation can be calculated from the effective mass andthe steady state friction coefficient.

Use of the Basset coefficient in the calculation of the velocity of a spheroid slowing down in a viscous incompressible fluid after a sudden impulse