The invention relates to a heat exchanger arrangement having at least one multipass heat exchanger, which comprises a first distributor (1), a second distributor (2) and at least one tubular diverter distributor (4) having a predefined tube cross-section (AU), and a tube arrangement (25) having a plurality of tubes (5) which are at least substantially parallel to one another and have a predefined tube cross-section (AR), through which a fluid—particularly, water—can flow and which are arranged in the tube arrangement (25) in columns with a predefined number of columns (n), wherein the first distributor (1) and the second distributor (2) are arranged at one end (A) of the heat exchanger arrangement and the diverter distributor (4) is arranged at the opposing end (B), and the tubes (5) extend from the one end (A) to the opposing end (B) and are connected to the diverter distributor (4) and the first or the second distributor (1, 2), and at least one vent opening (10) is arranged at a highest point (T), or at least in the vicinity of the highest point (T), of the diverter distributor (4) to equalize the pressure with the surroundings. In order to enable rapid filling of the heat exchanger arrangement with the fluid, a valve (11) is arranged in the at least one vent opening (10). When the valve (11) is fully opened, a flow cross-section (d) is clear for the passage of air, and the pipe cross-section (AU) of the diverter distributor (4) and the flow cross-section (d) of the valve (11) are the same as or greater than a minimum cross-section (Dmin), which is calculated from the product of the number of columns in the tube arrangement (25) and the pipe cross-section (AR) of the tubes (Dmin=n AR).