THE STAEILITY OF COUETTE FLOW IN AN AXIAL MAGNETIC FIELD

Abstract

Chandrasekhar's theory of the stability of viscous flow of an electrically conducting fluid between coaxial rotating cylinders with perfectly conducting walls is extended to include the case of non-conducting walls, and it is found that their effect is to reduce the critical Taylor numbers and increase the wavelength of the instability patterns by considerable amounts. An experiment designed to measure the values of magnetic field and rotation speed at the onset of instability in mercury between perspex cylinders is described. The radioactive isotopes Hg¹⁹⁷ and Hg²⁰³ were used to trace the flow. The results support the theoretical prediction that the boundary conditions can have a large effect on the motion.