4. On the Motion of Rigid Solids in a Liquid circulating Irrotationally through Perforations in them or in any Fixed Solid

Abstract

1. Let ψ, φ … be the values at time t, of generalised co-ordinates fully specifying the positions of any number of solids movable through space occupied by a perfect liquid destitute of rotational motion, and not acted on by any force which could produce it. Some or all of these solids being perforated, let χ, χ′, χ″, &c., be the quantities of liquid which from any era of reckoning, up to the time t, have traversed the several apertures.