feed one's face
Also, stuff one's face. Eat greedily, overeat, as in When Dave comes home he's apt to feed his face, or She won't lose any weight if she keeps stuffing her face like that. [Slang; c. 1900]
The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.