Generation of Magnetic Field in the Couette-Taylor System

摘要: The governing equation for the magnetic field B in an electrically conducting fluid with conductivity σ and velocity v is so-called induction $$ \frac{{\partial B}} {{\partial t}} = curl(v{\text{ x B) + }}\frac{1} {{\mu _0 \sigma }}\Delta $$ (1) ) which follows from Maxwell equations Ohm’s law. solution 0 may become unstable some critical value Remc of Reynolds number, \operatorname{Re} _m \mu LV, $$ (2) ) L V being respectively typical length scales.