Smoosh said: One thought would be to insert sealed piping through the mixture. This could be coper coils or heat reated PVC piping. Attach one pipe to a hot water heater and the other pipe to the return to the hot water heater and use a water pump to circulate hot water through the pipe. The hot pipes will transfer the heat to the gunge without watering it down. Make sure to install shut off valves so the pipe can be removed when it's play time. Also, something like a boat paddle to stir the gunge for even heating. Of course a young lady could be used as a substitute.
Hope this helps.
I give this idea my civil engineering seal of approval
It's an immersion heater, used until recently in most central heating systems. Run a copper coil through the gunge with hot water in it. Stirring is optional, I'd say you don't need to do that until afterwards (Like microwaving some food, stirring will even out the temperature). It's the same principal as using radiators to heat a room, or water cooling to keep your car engine cool.
Downside could be cost, and it'll take a little bit of engineering skill and hard work to make a decent system.
I'd say air heating is inefficient, and a pump wouldn't move the gunge without burning out (it looks quite thick), you'd have to use an Archimedes screw if you really thought it necessary