Use Fiddler as a Reverse Proxy

http://docs.telerik.com/fiddler/configure-fiddler/tasks/usefiddlerasreverseproxy
http://fiddlerbook.com/fiddler/help/reverseproxy.asp
Click Tools > Fiddler Options. Ensure Allow remote clients to connect is checked.
Choose Rules | Customize Rules.
Inside the OnBeforeRequest handler, add a new line of code:
if (oSession.host.toLowerCase() == "webserver:8888") oSession.host = "webserver:80";
On the SmartPhone, navigate to http://webserver:8888