Abstract

The magnetic field generation process is considered for the Couette-Poiseuille flow of an electrically conducting fluid between two coaxial cylinders of infinite length. The asymptotic methods in the theory of singular perturbations are used to analyze this process for large values of the magnetic Reynolds number $R_m$. The results derived by asymptotic analysis are in good agreement with numerical results previously obtained. The threshold values of $R_m$ for magnetic field generation are determined numerically for the case of perfectly conducting cylinders.