When we run a pipe, each command is executed in a separated process. The interpreter waits for the last one but if we use ampersand (&).
cmd1 | cmd2 &
The pid of processes will be probably close, but we cannot assume it reliably. In the case where the last command is a bash reserved word as while, it creates a dedicated bash (that's why your 'dir', 'file' variables won't exist after the done keyword). Example:
ps # shows one bash process
echo "azerty" | while read line; do ps; done # shows one more bash
When the first command exits, the second one will terminate because the read on the pipe return EOF.
When the second command exits, the first command will be terminated by the signal SIGPIPE (write on a pipe with no reader) when it tries to write to the pipe. But if the command waits indefinitely... it is not terminated.
echo "$!" prints the pid of the last command executed in background. In your case, the bash process that is executing the while loop.
You can find the pid of "inotifywait" with the following syntax. But it's uggly:
(inotifywait ... & echo "$!">inotifywait.pid) | \
while read dir file event
do
#something
done &
cat inotifywait.pid # prints pid of inotifywait
If you don't want the pid, but just be sure the process will be terminated, you can use the -t option of inotifywait:
(while true; do inotifywait -t 10 ...; done)| \
while read dir file event
do
#something
done &
kill "$!" # kill the while loop
None of this solution are nice. What is your real achievement? Maybe we can find a more elegant solution.