. The London, Edinburgh and Dublin philosophical magazine and journal of science. Enlarged photograph showing diffraction patt( Fig. Photograph of black photometric disk. i THELONDON, EDINBURGH, and DUBLIN PHILOSOPHICAL MAGAZINE AND JOURNAL OF SCIENCE. [SIXTH SERIES.] JUNE 1911. LXXXII. On the Motion of Solid Bodies through ViscousLiquid. By Lord Rayleigh, OJL, * § 1. npHE problem of the uniform and infinitely slowJL motion of a sphere, or cylinder, through an un-limited mass of incompressible viscous liquid otherwise atrest was fully treated by Stokes in his celebrated memoir onPend
. The London, Edinburgh and Dublin philosophical magazine and journal of science. Enlarged photograph showing diffraction patt( Fig. Photograph of black photometric disk. i THELONDON, EDINBURGH, and DUBLIN PHILOSOPHICAL MAGAZINE AND JOURNAL OF SCIENCE. [SIXTH SERIES.] JUNE 1911. LXXXII. On the Motion of Solid Bodies through ViscousLiquid. By Lord Rayleigh, OJL, * § 1. npHE problem of the uniform and infinitely slowJL motion of a sphere, or cylinder, through an un-limited mass of incompressible viscous liquid otherwise atrest was fully treated by Stokes in his celebrated memoir onPendulumsj. The two cases mentioned stand in sharpcontrast. In the first a relative steady motion of the fluidis easily determined, satisfying all the conditions both at thesurface of the sphere and at infinity; and the force requiredto propel the sphere is found to be finite, being given by theformula (126) -F^GiTfiaY, (I) where jju is the viscosity, a the radius, and V the velocity ofthe sphere. On the other hand in the case of the cylinder,moving transversely, no such steady motion is possible. Ifwe suppose the cylinder originally
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