I think if I was a horrible nuclear engineering professor I'd give a homework or exam problem using INL's Advanced Test Reactor fuel as an example. It's weird.
How weird? The core is comprised of 40 fuel elements, each of which is a 45-degree sector of a thick cylindrical tube of concentric fuel plates. Imagine sandwiching 0.020" of uranium metal between two sheets of 0.015" aluminum cladding and bending that into tubes ranging from 5" to 10" in diameter. Nest 20 or so of these tubes then cut the tubes lengthwise into 8 pie pieces. Now take 6 pie pieces and form a 3/4 circle. Take 4 more to make a half circle and connect that to the first 6 but curving the opposite direction. Do this three more times and connect the ends so you have a cloverleaf shape - that's your core.
You might ask, why the hell would anyone do that aside from the fact that it's the early 1960s and the AEC would let you? Well, if you draw this weird squiggly mess on a piece of paper, you notice that a grid of nine 5" diameter tubes can fit within the serpentine arrangement of fuel elements. You put experiments in those tubes, fire up the reactor and irradiate the bejeezus out of them.
There are no control rods - instead there are 16 control drums surrounding the core which rotate to expose some beryllium that reflects neutrons back into the core. Core croticality and power are controlled by controlling how many neutrons leak out of the core. Compare this with power reactors which use neutron absorbers instead. Another control scheme you see is separating fuel into moving and stationary elements and move the fuel into a more or less leaky configuration depending on whether you want more or less power.
Aluminum-clad plate fuel was common in the late-1950s/early-60s test reactors but typically it was arranged as flat plates in square fuel elements. This odd serpentine arrangement allows for different lobes of the core to be operated at different power levels which is convenient if you are running multiple simultaneous experiments that need different conditions.
This reactor uses 93% enriched fuel which is pretty spicy (commercial power reactor fuel is typically 5%, natural uranium is <1%). This is the sort of specialty facility you use if you're designing a new reactor and you need to see how parts behave inside a reactor core. There's only so much computer modeling can tell you, especially if you have limited experimental data (what do you think those computer models are based on...?)
Anyway, there's often a focus in college classes on modern power reactor fuel which is relatively simple and commercially relevant. Oddball reactors like the ATR work on the same fundamental principles but have unique characteristics that reflect their specialty role as test and research reactors. https://inl.gov/advanced-test-reactor/






