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Yes, you can measure an identical oil filled container with a resistor as heating device and "control", however this will not be exactly the same and will not include the heat dissipation and radiation of the driving motor, which must also be accounted for.
The motor driven container will have a lot of steel plates taking up oil space, which will have a different specific heat than the oil only control container. To overcome this, the system must be allowed to soak, transient measurements will not yield accurate results.
You must be very careful with such measurements, as the motor moving parts (internal fan and shaft) will produce some local turbulence and forced convection that will skew data.
There is also the emissivity problem, both containers should be painted flat black with a high temperature paint so that they radiate in a similar manner.
If you can quantify all of this you may get reasonable data.
Best to build a test chamber simulating a small room, with known insulation qualities. This tests the entire device and will take into account radiative, convective, and motor dissipation. This is ultimately how the device will be used, as a room heater, although I'm sure if it pans out there are a multitude of uses
Operating such a chamber outdoors can be problematic unless wind chill and solar effects are taken into account.
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