If you are working any muscle group for any strength related goal, working out on consecutive days is most likely going to be counter productive. Younger and genetically gifted individuals may be able recovery in 36 hours from a resistance session, but chances are that complete recovery is more likely in 48 hours or more. Training a muscle or muscle group before complete recovery will undo most of the gains from the previous workout. In other words, training sessions performed too soon will undo the first training session. Basically, this wasting the first workout and may even reduce the effectiveness of the second workout. And the eventual outcome is injury.
If you are working out just to tear the tissue down, train away. If you are looking to make some type of gains (strength, size, endurance), allow full recovery.