psql copy from through bash

Can anyone see what I'm misisng? I am trying to run a psql "copy from" command through a bash script to load a buch of cdv files into the same table. I'm getting an error about the file "infile" not existing?

#!/bin/sh

for infile in /path_to_files/*.csv
do
cat infile | psql dbname -c "\copy table_name FROM stdin with delimiter as ',' NULL AS 'NA' CSV HEADER"
done

Thanks in advance