Agnes Scott College

Miss Fawcett

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:

  1. Motion of an isotropic helicoid in an infinite liquid under no forces
     
  2. Motion of an isotropic helicoid in a liquid under gravity
    • Case of no horizontal momentum
    • Now suppose the horizontal momentum not to vanish
       
  3. 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
       
  4. 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