Does this look familiar. The bottom of your new coffee makers gets corroded and rusty after a short period of time. I had always thought this is the way things were; coffee maker's heating bases live a hard life. However there is a way to prolong that heating surface.
I had some guest stay the night at my house once. In the morning they had made breakfast including coffee. Before they left they washed out my coffee pot. However instead of replacing the coffee pot all the way onto the seat they left it half cocked on the rim. I didn't think much of it, till I thought about it later. This was done so that the base would have a chance to air dry. Placing a wet coffee pot on a wet base never allows the surface to dry. The wet acidic environment causes the surface to prematurely eroded. I thought this was quite clever.