a range of boundary value problems is solved that describe the steady slate temperature distribution in a solid circular cylinder of infinite length, moving in the direction of its axis. The cylinder is heated by a hoi gas flowing perpendicularly to the cylinder. The problems differ in complexity depending on whether or not the cylinder is radially isothermal and the gas temperature uniform. Dimensionless charts arc presented. This work pertains to the "moving wire techniques" for studying polymer flammability and measuring heat transfer from gases.