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Here is my guess (as a chemical engineer), cylindrical flow path is more uniformly utilized the bed with constant gas superficial velocity across the bed. While in radial flow path, although you would have shorter travel, the gas superficial velocity would drop as the circumference area increases with radius. The outer radius of the bed may not be fully utilized. It would be different if the torus (donut) shape is rotating where the superficial gas velocity would be in tangential direction as in Rotating Packed Bed process, ANDRITZ Rotating packed-bed centrifuge RPB (the process that I developed with Andritz).
Disadvantages of RPB is it requires power to rotate the bed and a seal between rotor and the housing (though a simple labyrinth type seal can be effectively used in this case). Advantages of RPB is very high absorption efficiency (up to 10 times more efficient than static bed) and the rotation acts as impeller of a blower, reducing WOB.
The RPB can be magnetically driven (mag-drive) by electric motor to avoid mechanical seal.
Axial scrubbers are consumed in a cone shaped manner due to the retention of heat in the center vs the outside edge.
John C Clarke's blog has some good posts about how scrubber's work. This one illustrates the cone
A Look Inside Rebreather Scrubber Canisters, Part 2