An analysis is made of centrifugal flow of compacted porous beds through channels against high gas backpressure. One-dimensional compressible gas flow solutions are presented for concurrent and countercurrent solids/gas motion through the variable area channels. The physical process analyzed represents the flow through a newly developed centrifugal pump for feeding dry pulverized material against a pressure barrier. The objective of the analysis is to gain a basic theoretical understanding of this type of device. Good agreement is found between analytical predictions and test data obtained with an experimental pump feeding coal.