An apparatus for influencing the outflow region of a tube carrier plate of a tube bundle heat exchanger, in particular for the food and beverage industry, and more particularly for temperature-sensitive and/or viscous food products in the dairy industry, for example desserts, sauces or concentrates, is described. The apparatus operates so that the tendency for deposits to form in the region of the tube carrier plate through which product flows out is reduced. An annular space-like outlet channel has, at least overall in the region thereof between a maximum outside diameter of an outlet-side displacement body and a second connection opening, a channel passage cross-section, which has a constant cross-section over the entire length of the region and which corresponds to a total cross-section of all of the inner tubes through which a product flows in parallel, which inner tubes each have an individual cross-section.
