Since in that case the client is trying to reach its own "external"
(public) IP address from behind the NAT, the NAT doesn't do the port
forwarding and is unable to route the IP packet.
This is known as the hairpin condition. Not all router/NAT solve this properly. The solutions are:
a) Check whether your router/NAT can be configured to enable 'hairpining'. This solution works iff you control all router/NATs in your deployment.
b) Buy another router/node allowing this. Just like a), it works iff your control all router/NATs in your deployment.
c) If you can get obtain the port information for from UPnP, this is a solution too, but not all Router/NAT know or support UPnP. It does not cover for all cases in large deployment.
d) Using multicasting to 'discover' other nodes on the LAN and even communicate with them is a common solution to this problem. You need to agree on an IP address and have peers listen to it.
e) Storing the private IP address on the server is a solution too, but it requires more storage capacity on the server than solution d. There is a timeout (i.e., expiration of data validity) to handle too.
f) Use a TURN like communication between peers (i.e., communication between nodes pass through central server). This solution is rock solid, but not the most efficient in terms of bandwidth consumption.
Hope this helps.
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