A heat exchanger includes a lamellar structure of a plurality of parallel heat exchange elements with an intermediate air gap between each pair of adjacent heat exchange elements. Along a longitudinal direction of the lamellar structure the heat exchange elements is interconnected in a top portion of the lamellar structure that forms an inlet channel through the heat exchange elements and in a bottom portion of the lamellar structure that forms an outlet channel through the heat exchange elements.;The heat exchange elements form parallel channels between the inlet and the outlet channels.;In the outlet channel, the heat exchanger includes a filler body, that is filling up a lower level of the outlet channel and forms a floor along the longitudinal direction of the lamellar structure.