The Forces on a Body Moving through a Viscous Fluid

W. Chester
1992 Proceedings of the Royal Society A  
The forces on a body moving through a viscous fluid are related to the asymptotic flow field at large distances from the body and can be deduced therefrom. Explicit formulae are derived for the force and couple in terms of the parameters defining the asymptotic flow field. The form of these results remains unchanged for a body of arbitrary shape moving in two or three dimensions, and for a body rotating as well as translating, provided the flow is steady relative to an appropriate set of axes.
more » ... riate set of axes. They are also applicable when the Navier-Stokes equations are replaced by approximate equations, as in the work of Stokes and Oseen. f This paper was accepted as a rapid communication.
doi:10.1098/rspa.1992.0055 fatcat:ugaulhcxyfe6hmlibuuhropcda