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2.
1) A canine prone to gastronomical expulsion. (I.E. A Terrier with a propensity for excreting air fouled by long term entrapment within the colon.)

2) An irritating boyfriend.
1) Pass the Ly-Sol, Jim-Bob! Something just crawled up that Fart Dog of yours ass and died!

2) Get OUT of my ass pocket, fart dog!
by Garden Gawaine July 16, 2003
 
1.
When you try to fart and a turd comes out and lays vertically in between your butt cheeks. mimicking a hot dog.
I just made a fartdog.
by klub2369 August 03, 2011