Simon.
Coolingwater/ corrosion protection.
The Plate 13 shows a combination of systems. The warm water supply to the galley and washbasins are primarily served by the header tank in the tower getting its warm water from the mufflercooling, allthough there is a connection from the engineroom to the galley.
The piping you questioned is connected to the anti corrosion system. The Germans used an anticorrosion oil which emulsified with the coolingwater and thus protected the exposed steel/iron against seawatercorrosion. We never used it. The system works as shown on the system sketch below. You injected the anticorrosion oil when the cooling watersystem was not in service. Every so so often a barrel of the oil was connected to the hoseconnection at the coolingwater handpump and pumped in to the coolingsystem by hand. By cocks and valves you are able to direct the the oilflow to each of the engines, the exhaustmanifolds and the Junker compressor. The other cooling systems in the aft torpedoroom were not incorporated. The anticorrosion oil for the engines (yellow) is pumped by hand to the main cooling waterchest (valve e is shut) and flows via valve e1 to valve f at the luboilcooler, out at valve d1 and through the engine in the normal coolingwater way. At the group exhaustvalve the main overboard seavalve is shut and the cock f1 is in the crossover position, leading the oil to the main aux. cooling waterpipe which has valve i 1 shut and the oil returns to cock g at the handpump, which is put in the hose/dirty oil drain position and leaves the system.
When you want to treat the Junker compressor you shut the cock f1( engine coolingwater return via main aux pipe) and the oil flows to the aft torpedoroom (purple pipe) enters the compressor cooling system by open cock 6, (valve c and valve 5 shut,) through the compressor and leave via cock f to the main aux coolingwater pipe as return to the dirty oil hose connection at the handpump. This should explain you smaller pipes and crossover.
Appart from the anti corrosion mode, the main aux cooling pipe is of course used as an ordinary coolingwater pipe for emergency supply to the aft torpedoroom when needed.
Somehow the system would not accept the sketch at 380KB jpg I`ll post it separately.
Tore