Eaton has discontinued production of the 3 lobe rotors I have been told.
A few years back they came out with their 4 lobe rotor called the Twin Vorticity (TVS). It is a much better design.
Here is the problem. The older 3 lobe nose dives in efficiency as the boost pressure goes up. The pressure in the manifold exceeds the pressure between the rotors so it backs up and makes another pass through the rotors and the heating of the air really goes through the roof. Hot air does not make power.
The best positive displacement type is the Lyshlom type. This uses a male and female rotor with a lot of twist to it. This is the type that Whipple makes and is sometimes called a twin screw. The advantage here is the air is compressed between the rotors and decompresses into the manifold so the pressure between the rotors is normally higher than in the manifold so there is no back flow problem.
The disadvantage to this type is that it is much more expensive to make. Have two different rotors and a gear drive that turns each at a different rotational speed. At very low boost they are a tad less efficient that the Eaton 3 lobe, but as the boost goes up they really shine.
Eaton's 4 lobe has the advantage that both rotors are identical so they are cheaper to make. Has a higher twist rate than the older 3 lobe so the back flow problem is greatly reduced. Still does not equal the twin screw, but gets much closer. The TRD Supercharger for the Tundra uses the 4 lobe version, Corvette and many other new OEMs are using the 4 lobe. Oddly the HellCat is using the Lyshlom made by IHI in Japan. Likely some left over Mercedes AMG influence.
G