I'm no expert, but my whippet does the same when he drinks. I have found that if I raise his water bowl from the ground, so that he not hanging down so far, it seems to flow down his long neck a lot easier. I think this may have something to do with it, I could be wrong, but probably worth a try.
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whippet cough by: Anonymous
My 8month old whippet had a cough and then started to bleed out of one nostril...she has been diagnosed with seasonal allergies.
One Benadryl helped her out and her cough and bloody lil nose cleared up (also helped to put Lil noses on it, a saline solution).