Today I was digging around an idea for another project of mine the subject of planetary gears and gear boxes enters the picture . I thought about your scroll intake these are more fuel air mixers rather than superchargers . A number have been built as superchargers but these don’t function well as you can’t really drive them fast enough and t ver high speeds the scroll cavatates destroying any chance of moving air Way back when I first got the Hogson drawing set I looked into dual staging the scroll , one discharging into the second . I stopped sbout there as med condition precluded fancy machine shop work adding a second stage or even a third stage would not be too hard as these planetary drives are based on nema stepper motor sizes the drives should be easily reversible with at most a shaft connector some are as high as 30:1 So even if the “ supercharger “ were driven electrically you could get some big rpm it’s hard to get the air flow in these small scrolls but you could substantially increase the volume available fuel air mix and it would be really stirred up ! So getting it to flow down the intake pipes should be easier
As I recall there is an easy shaft mount on the crank to off you chose to crank drive I YHINK I’d go with electric as you could creat some flow control by just barring the scroll speeds Just a thought for you to ponder I’m goingvto order one of these in nema 17 as I have several stepper motors this size mostly just for fun . The guy that originally designed these turbines did quite a bit of work on small scroll or centrifugal blowers he never got enough flow to blow up a plastic bag and ultimately the high speed scroll blew up I haven’t seen anything since then I YHINK the best way would be to build a model of gmc diesel blower which is positive displacement so it would feed the scroll positive air. Conley engines makes these and they produce boost on his v 8 engines 5 psi I YHINK that’s pretty good for small supercharger . Several of these have been built I YHINK cad models are on grab cad but I really don’t know how to use that . The back of my mind says to 3 d print a test model just for fun there is a print service not too far from me . I have no idea what he charges But it would be possible to get the case , end plates gears and rotors done all at one time so it might be practical. . I’ll keep thinking on this feel free to question me . We actually have a complete near new gmc 6-71 blower so it would be relatively easy to get measurements if I could get out to the shop or have my son bring it over to me .
if you want to see a working design of a supercharger for a radial engine get the plans for the Bob Roach / Bruce Satra Pratt & Whitney 985 Wasp Junior, and the plans for the Karl-Erik Olsryd Wright J5, these both have working scale superchargers with slightly different gear arrangements that you could chose from.
I seriously suggest abandon electric, especially stepper motors which don't run smoothly (they aren't designed to run smoothly, instead they "step" from one angle to the next), your best bet would be a modern high powered RC ducted fan electric motor running on lithium batteries, but even that will have trouble delivering the power and speed a supercharger needs.
if all you want is good mixing and even flow to all 9 cylinders rather than an actual boost, then cut the gear ratio down. I have a functional model supercharger on my Rolls Royce Merlin model engine, but currently I've left the gears out because I currently only have gear ratio that is "scale" but I'm afraid that may put too much stress on the engine (powering the supercharger requires the engine to produce more power, which it gets by increasing both air flow and fuel flow, generating higher combustion pressures), when I get the time I'll retrofit with maybe 1/2 the current gear ratio which will require 1/4 the power.
if you really want to go all the way down this rabbit hole get the plans book for the Kurt Schreckling model turbojet, and the plans book for the Thomas Kamps model turbojet, which contain some of the theory of compressors, its fascinating physics, thermodynamics, engineering, and machining.