A heat exchange module for use in a chemical, pharmaceutical or biological reactor system includes a generally hollow body having an interior space for receiving a replaceable or single use reactant container, and at least one thermally conductive surface adapted to contact the replaceable reactant container to facilitate heat transfer, a fluid circulation path formed within the body between an outer wall of the body and an inner wall of the body through which a heat exchange fluid can be circulated, and at least one baffle protruding from the inner wall of the body into the interior space.