A continuous investigation of a block moving back and forth on a heat plate under a slot jet was studied numerically. This study investigates the effects of block moving distance and vacant distance between the block and heat plate on the heat transfer of heat plate. This subject belongs to a kind of moving boundary problems, and the modified Arbitrary Lagrangian Eulerian (ALE) method is suitable for solving this subject. The results show that the increment of the heat transfer rate of heat plate is not direct proportion to the block moving distance, and the smaller vacant distance is expected for obtaining the larger heat transfer rate of heat plate.