To my surprise, nothing came out of the back tap. I checked with a little cable if the tap was open, and it was. The cable was covered with greasy, sticky, smudge. No Idea how that got there: leaking head gasket? No white smoke, nothing in the oil. Mixing different types of coolant? It's possible. Any other possibilities?
So I flushed the engine with a mild vinegar solution without result, then let it soak overnight with diluted dishwasher powder, which did something. Finally I let it rinse for an hour with a hose pipe connected to the rear tap. In the beginning, the water just dripped out of the disconnected lower radiator pipe. Loads of rust came out, and after a while the water was clear and running. After disconnecting the hose pipe, it took at least 45 minutes before the tap at the back stopped running. Going to close everything, fill up with new coolant and hope for the best.
