Spiral Turbine

I would have thought this had been invented already if it worked but googling doesn't seem to find anything like I'm thinking...

The idea is you have a spiral extruded in the z direction off the plane inside a cylindrical housing, shaped like so...

The blue circle is a hole into the housing for an intake, and there is another hole in the housing where the arrow is. The spiral turns rapidly inside the housing (*Another idea below), and the "blade" of the spiral forces the fluid (or air) from the center to the outside along the inside of the spiral where it is compressed into a small space  between the housing and the spiral, to eventually be forced out of the hole where the arrow is.... For an incompressible fluid like water you would of course not have the housing shaped for compression.
It would take some experimenting to see what shape the spiral should be and whether it would be better to tilt the blade of the spiral off center to help guide the air but I think something along these lines would work...
I think the basic concept could be adapted for use either as actively driven for a pump, or expanding gas could turn the spiral...

*I believe it might be better if the spiral and housing are connected as one solid piece that spins within an  additional outer housing, so the effect is the same but it eliminates the friction between the spiral and the inner housing... it's hard for me to draw but the inner housing would be on a spindle attached to the top of the outer housing so it's centered and not touching the outer housing, and also have one tube for the inlet that slides in airtight solid contact with the inlet inner housing... and an output hole in the outer housing to let the pressurized fluid out...