What stimulation is used to cause the nose to run when the eyes water

Rhinorrhea is the condition of having the running nose.

Explanation:

When we cry the gland associated produces the tear that rolls through our eyes, some portion of the tear is transferred into the nose through ducts that flows out of our nose as a running nose.  When we cry the tear duct produces the tear that enters the nasal cavity, mixes with the mucus and gets out of our nose. Hence, we get a running nose every time we have tears rolling through our eyes.