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- W3025234297 abstract "An integral expression for the translational velocity of a perfectly slipping spherical particle under a time-dependent applied force in unsteady Stokes flow is derived. For example, when the ratio of particle density to fluid density is small, our analysis pertains to an inviscid bubble in a viscous fluid. We determine an explicit form of the particle velocity under an impulsive force, wherefrom the velocity autocorrelation function and mean-squared displacement of a perfectly slipping sphere undergoing Brownian motion are obtained. The above results are contrasted against the time-dependent diffusion of a rigid sphere with no hydrodynamic slip. Finally, the thermal force power spectral density is analytically calculated for a diffusing sphere with arbitrary slip length. We suggest this quantity to be suitable to infer slip length from the measurement of nondiffusive Brownian motion." @default.
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- W3025234297 date "2020-05-13" @default.
- W3025234297 modified "2023-10-16" @default.
- W3025234297 title "Unsteady motion of a perfectly slipping sphere" @default.
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- W3025234297 doi "https://doi.org/10.1103/physreve.101.053102" @default.
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