I found the following article by Shaykh Salman Oudah (hafithahullah) really informative on the entitled issue. Enjoy🙂
Humrân relates that `Uthman asked for water to perform wudû’. He then washed his hands three times. Then he rinsed his mouth and inhaled and exhaled water. Then he washed his face three times. Then he washed his right forearm to the elbow three times, then the left as well. Then he wiped upon his head. Then he washed his right foot to the ankles three times, then the left as well. Then he said: “I saw Allah’s Messenger (peace be upon him) perform wudû’ just like this wudû’ of mine.”
It is an authentic hadîth related by al-Bukhârî and Muslim, among others.