The heating element probably have a partial short. This cause it to drain more current and get MUCH hotter.
This would explain your burned wall socket.
Unplug the power.
Open the back of the dryer.
Locate the intake air conduit, and where the heater is located in it.
It's a very good idea to take several photos before you proceede further and also as you preform every step. This can save you many problems later on when it's time to reassemble everything.
Look if you can easily disassemble it.
It may be as simple as manualy rerouting the element so that it no longer touch itself. The problem is that it may have gotten welded.
In that case, it need to be replaced.
Disconnect the element and remove the part of the condiuit containing it.
Get a replacement from some dealer or directly from the fabricant.
Install the new conduit and element assembly and reassemble everything else. It's here that the photos you took earlier can realy help.
Make sure that all whiring are securely reconnected.
Do a test run.
Electro
October 2013