If you need to send mysqldump over ssh on different server without creating any files on the local server, mostly if you are low on space you can use this:

mysqldump -u MYSQL_USERNAME -p DATABASE | gzip -c | ssh USER@HOST 'cat > ~/dump.sql.gz'

And for the restore from remote location:

ssh USER@HOST "cat /path/to/db.sql" | mysql -uUSER  -pPASSWORD DATABASE