Provided are a tubule bundle (2) formed by arranging and layering a plurality of heat-conducting tubules (1) through which a heating medium liquid is passed sealing members (3a-3c), at which both ends of the heat-conducting tubules are exposed and that, in addition, seal the tubule bundle, forming a blood flow path (5) that passes blood so that it contacts the outer surface of each heat-conducting tubule a housing (4) that, in addition to housing the sealing members and the tubule bundle, is provided with a blood inlet (8) and an outlet (9) that are positioned respectively at the two ends of the blood flow path and a pair of heat-conducting tubule headers (6, 7) that form flow chambers (14a, 14b, 15a, 15b) to enclose the two ends of the tubule bundle respectively and have a heating medium liquid inlet port (6a) and an outlet port (7a). The tubule bundle is partitioned into a plurality of sets of tubule bundle units (12a-12c), and the heat-conducting tubule headers are constructed so that the heating medium liquid is passed successively through the plurality of sets of tubule bundle units. While increasing the flow rate of the heating medium liquid flowing through the heat-conducting tubules and controlling the increase in blood flow path volume, the heat exchange efficiency is improved.Linvention concerne un faisceau (2) de tubules formé par mise en place et stratification dune pluralité de tubules thermoconductrices (1) à travers lesquelles un milieu liquide chauffant est acheminé des éléments détanchéité (3a-3c) auxquels sont exposés les deux extrémités des tubules thermoconductrices et qui scellent le faisceau de tubules, formant un passage (5) découlement pour le sang qui achemine le sang de telle sorte quil entre en contact avec la surface extérieure de chaque tubule thermoconductrice un logement (4) qui, en plus dabriter les éléments détanchéité et le faisceau de tubules, est pourvu dun orifice damenée (8) et dun orifice dévacuation (9) pour le sang, lesquels
