Note on the Motion of Solids in a Liquid
Quarterly Journal of Pure and Applied Mathematics, Vol. 26 (1893), 231-258
Summary
An isotropic helicoid is a body that is identical with itself when turned through one right angle about either of two axes which intersect at right angles. The sections of the article are as follows:
- Motion of an isotropic helicoid in an infinite liquid under no forces
- Motion of an isotropic helicoid in a liquid under gravity
- Case of no horizontal momentum
- Now suppose the horizontal momentum not to vanish
- Motion of a ring or helicoid in an infinite liquid under no forces
- First method, axes fixed in the body
- Second method
- The motion can be constructed geometrically
- Steady motion of a helicoidal ring
- Stability of steady motion
- Steady motion in a straight line
- Motion of a number of solids in a liquid with circulation through apertures in them or in fixed circles
- The case of the motion of perforated solids in a liquid
- The case of several bodies moving in a liquid, or of a single body which is not rigid
- Form of Lagrange's equations for a system of solids moving in a liquid with circulation