Solutions are obtained for a moving contact patch on the lip of a seal formed by the end contact of two tubes, on a thermal insulator and one a thermal conductor. It is postulated that a patch of uniform pressure [pbar] of width 21 is moving at a speed c on the lip of the conducting body, and that this gives rise to frictional heating, thermal expansion, wear and elastic deformation. Although the relative displacements produced by all of these effects must sum to zero in the contact patch, for this approximate solution the averages of these quantities will be allowed to sum to zero. Results are compared with prior accurate calculations for zero wear case, showing that the approximation is quantitatively reasonable.Presented as an American Society of Lubrication Engineers paper at the ASLE/ASME Lubrication Conference held in Miami Beach, Florida, October 21–23, 1975