Python how to read N number of lines at a time

I am writing a code to take an enormous textfile (several GB) N lines at a time, process that batch, and move onto the next N lines until I have completed the entire file. (I don't care if the last batch isn't the perfect size).

I have been reading about using itertools islice for this operation. I think I am halfway there:

from itertools import islice
N = 16
infile = open("my_very_large_text_file", "r")
lines_gen = islice(infile, N)

for lines in lines_gen:
     ...process my lines...

The trouble is that I would like to process the next batch of 16 lines, but I am missing something