I would like to put a process into the background, and then pipe data to it multiple times. For example:
cat &                    # The command I want to write into
cat_pid=$!               # Getting the process id of the cat process
echo hello | $cat_pid    # This line won't work, but shows what I want to
                         #   do: write into the stdin of the cat process
So I have the PID, how can I write into that process? I would be open to launching the cat process in a different way.
Also, I'm on Mac, so I can't use /proc :( 
First, create a pipe:
$ mkfifo pipe
Second, start your cat process with input from the pipe:
$ cat <pipe &
[1] 4997
Now, send data to the pipe:
$ echo "this is a test" >pipe
$ this is a test
                        mkfifo .pipe
cat < .pipe &
echo hello > .pipe
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