The influence of Hall current and heat transfer on the magnetohydrodynamic (MHD) flow of an Oldroyd-B fluid is investigated. The fluid is between two infinite disks rotating about non-coaxial axes normal to the disks in the presence of a uniform transverse magnetic field. The flow is due to a constant velocities of eccentric rotating disks. Exact solutions are derived for the velocity, force and torque exerted by the fluid on one of the disk and temperature distribution. (C) 2004 Elsevier Ltd. All rights reserved.