Abstract: A heat exchanger that is applicable to a pump and a system where a plurality of tubular elements or cores, each comprising a support cylinder or half-cylinder and at least one curved heat exchange plate. Each plate separating a first cavity from a second cavity where the first cavity contains a liquid and the second cavity receiving a coolant causing the thermal expansion or contraction of the plate. The heat exchanger according to the invention makes it possible to withstand high mechanical stresses. This design makes it better to withstand high pressures despite a large diameter of the cylindrical heat exchange plates without an increase to the thickness of these plates. The pressure being exerted on the tubular elements is primarily radially, more particularly from the outside to the inside for the thinnest cylindrical heat exchange plate in contact with the cavity containing cold coolant or air.