Dynamic Analysis of a Magnetohydrodynamic Journal Bearing of Circular Cross Section in a Rotating Coordinate Frame

Abstract

An infinite journal bearing of circular cross section lubricated with an electrically conducting fluid has been considered for this study. Unlike previous studies involving such bearings encountered by the authors, a rotating coordinate system has been used for deriving the dynamic parameters of the bearing. In addition to the above, the electric field and flow rate relations have been perturbed by use of electromagnetic boundary conditions to eliminate the same from the Reynolds equation. The basic Reynolds equation and its perturbed forms have been solved analytically to derive the stiffness and damping coefficients in the rotating coordinate frame.