I’m also wondering about the efficiency of this cycle. The article states that considerable heat is also liberated in this reaction - how much, and is it of any use? I guess it might be useful for heating the car in the winter. How efficient is the process of reforming the aluminum oxide back to aluminum? The devil’s in the details with these schemes. Of course, it’s not hard to beat the 25% (or so) efficiency of the gasoline powered internal combustion engine.
The other problem is how do you dispose of the solid "ash" Al2O3 Without looking up the bond energies and doing the calculation I'm guessing with you that there is a lot of waste heat in this operation. My idea is to run a car on water and calcium carbide Then you have to dump the Ca(OH)2
Look up powerchips.gi