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1.
Much like a Wet Willy only instead of a finger, one uses an elbow, and instead of the ear, the desired target is the anus.

If someone claims to have pulled this maneuver, it is often custom for a person within earshot to recite the jingle of Red Robin, though replacing the "Red Robin" with "Brown Brian"
Jef: Yo so this person from my intermediate jogging class tried to give me a Brown Brian last week...

Noah: Brown Brian...YUMMM!
by Ravens Lehoisaphat August 10, 2010
 
2.
the act of me leaving a dump somewhere in a personal area suprising a person.
opening a jar of peanut butter only to find a turd is a brownbrian.
by rerehab January 20, 2010