Abstract.
In this article, we present a modern derivation of Jeffery’s equation for the motion of a small rigid body immersed in a Navier–Stokes flow, using methods of asymptotic analysis. While Jeffery’s result represents the leading order equations of a singularly perturbed flow problem involving ellipsoidal bodies, our formulation is for bodies of general shape and we also derive the equations of the next relevant order.
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Junk, M., Illner, R. A New Derivation of Jeffery’s Equation. J. math. fluid mech. 9, 455–488 (2007). https://doi.org/10.1007/s00021-005-0208-0
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DOI: https://doi.org/10.1007/s00021-005-0208-0