When I turn the heat up on my thermostat, the gas turns on, ignites, blower kicks in, everything is running fine. After about 10 minutes, the whole thing shuts off, never having reached the desired temperature. The heater will never turn back on unless I turn the thermostat off and then back on. Then is cycles again as described above.

From the description you give the most likely cause of this problem are bad gas coils or a bad gas valve.

You say you see the flames for 10 minutes before it stops heating but you don't mention if the igniter is continuing to glow. One thing we need to know is if the igniter continues to cycle on and off when the dryer stops heating.

There is a small square plug on the front panel you can remove to try and visually check if the igniter is glowing.

The problem won't be the thermal fuse or one of the thermostats. Once the fuse is open the dryer won't heat but it won't start to heat after 20 minutes.

After the dryer runs ten minutes and stops heating then check if the igniter is still cycling on and off. This is important because if the igniter is working then the thermostats and igniter are okay.

When the igniter glows at some point you might hear a click and the igniter would stop glowing. The click is from the flame sensor and after the click and the voltage is removed from the igniter at the same instant the voltage is applied to the gas coils and you should get a flame.

You might hear a hum, buzz or vibration from the coils when this happens. If the coils seem to react to the voltage but there is no flame then most likely the gas valve is bad. If the coils don't do anything then most likely the coils are the problem. The gas valve and gas coils can work for 10-15 minutes and then heat up and stop working till everything cools down.

One other thing I must tell you about the gas coils. Here is a link to the gas coils you will need. These are the new style that will last quite a bit longer the the older one. The coils are like the spark plugs in your car. The will need replacing in time due to wear. Below is a video to walk you thru the repair process.

You-Tube video "RjonjNitfVk" placeholder