To provide a positive pressure heat exchange apparatus having a compact structure by utilizing the phenomena of sensible heat exchange and evaporating heat exchange.

A heat exchange apparatus 10 is provided with a direct evaporative heat exchange section 90 overlying an indirect evaporative heat exchange section 50. An air entry zone 120 common to both heat exchange sections receives an air stream blown into this zone by a fan, thereby pressurizing the plenum such that the air stream is forced to split and enter each section inside the apparatus. This eliminates the need for separate air entries, thus reducing the size and cost of the apparatus, while increasing heat exchange capacity. A countercurrent airflow pattern through the direct evaporative heat exchange section 90 provides a uniformly cooled evaporative liquid for use in the indirect evaporative heat exchange section 50. The evaporative liquid flow is parallel to the air stream provided in the indirect evaporative heat exchange section 50. A process fluid inside the indirect evaporative heat exchange section 50 can accept or reject heat from the evaporative liquid received from the direct evaporative heat exchange section 90. The evaporative liquid is collected in a sump and then pumped upwardly by a pump 32 for re-distribution.