I had this exact problem in a hotel room for 3 days before I figured out what was causing it (it went out after exactly 15 minutes, not 10, for me). It was one of the routers. The setup they had was this: one ethernet cord led from the modem to the first router. From this router one ethernet channel led to the wireless router, and another channel led to a base station that was there to provide internet to those without wifi enabled computers, and only ethernet. This is a weird setup they had I know, but you should have seen the ghetto wireless router they had. Unplugging the base station from the first router got me internet back with 0 drop outs afterwards for 3 more days. I later talked to the guy at the front desk, this was at the Westin in St. John btw, and he said many people had had this problem with other wifi enabled smartphones, and couldn't figure it out.
Also, the way I was dealing with it before I found the problem was to reset the DHCP lease.