A very flexible heat pipe is provided constructed of multiple layers of material laminated into the final structure. The center of the symmetrical structure is a coarse screen (18) which creates a vapor space. The layers on either side of screen (18) are copper felt pads (24), and the outer casing is two layers of metal foil (12, 14) and a layer of polypropylene (28). The heat pipe constructed in this manner is so flexible that when one outside surface is covered with adhesive, the heat pipe can essentially be used as adhesive tape providing a stick-on heat transfer surface which conforms to the body being cooled.