A glass manufacturing apparatus comprises at least one nozzle facing a conduit and extending transverse to a travel path defined by the conduit. The at least one nozzle is configured to cool molten material within the interior of the conduit with a stream of cooling fluid forced against an exterior of the conduit along a cooling axis extending transverse to the travel path defined by the conduit. In further examples, methods of processing molten material includes cooling the molten material within an interior of a conduit by forcing a stream of cooling fluid against an exterior of the conduit along a cooling axis extending transverse to a travel path defined by the conduit.