I have worked with microwaves as part of academic research in chemistry.
The primary mechanisms of microwave heating of liquids are (1) induction of molecular rotation due to the rapidly reversing electric field component of the microwave radiation, and (2) "convection" of charged substances in the same field. In both cases, it is the dissipation of energy in the frustrated motion (rotation or translation) of molecules that leads to heating. Substances with higher dielectric constants and charged substances will, in general, heat more quickly in a microwave of equivalent strength, but viscosity (which affects conduction) and heat capacity will have a big effect. You can prove the bit about charged substances by heating equal volumes of salt water and distilled water in identical vessels in a microwave at the same time. The salt water should get hotter much more quickly (be careful -- just zap it for a few seconds, not to boiling).
Certain organic solvents heat very quickly in a microwave oven. DMSO (dimethyl sulfoxide) is one of them. Toluene, which is very flammable and very non-polar, heats only very slowly.
Microwave heating has the potential to be much more even than conventional heating due to the larger penetration distance of microwave radiation, but this advantage can usually only be fully realized in a "mono-mode" reactor where the microwave field is designed to be perfectly even and no part of the sample is more than a couple of centimetres from the walls of the reactor. This is the type of setup that is usually used in chemistry labs. Samples are heated in a closed tube (with pressure and temperature monitoring) and power output is variable -- it's a much safer environment than a kitchen microwave, where vessels are open, irradiation power is high (microwave heating in a lab reactor is typically below 100W, but kitchen ovens can be 10x that IIRC) and there are waves bouncing all over the place, hot spots, dead spots, etc.
Despite the inhomogeneity of heating in a kitchen microwave, superheating does tend to happen, which IMO is the biggest safety risk in this kind of experiment.
If you need to heat propylene glycol in a hurry and only have a microwave to do it with, the safest solution is to heat a microwave-safe container full of
water to the appropriate temperature and then use that as a hot-water bath (outside the microwave) to get the glycol to the right temperature.
More than you all ever wanted to know about microwaves, I think
