How can I apply to be an adjunct faculty?
What are common steps required to become an adjunct faculty?


Ask your department chair.


Where can I find additional information (e.g. would a university-wide policy be given at the university website?)


Ask your department chair.


Assuming I speak with the department chair, what should I say?


"I'm interested in becoming adjunct faculty.  What's the hiring process?  Why yes, I do happen to have my CV with me."


How could I sell my case, other than my (demonstrated) ability to obtain funding and (undemonstrated) ability to be an advisor?


Ask your department chair.