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The article presents the results of works on formulating an algebraic model of crystallized CO₂ extrusion process in a convergent circular–symmetrical channel. The paper presents the method of derivation of the model as well as preliminary comparison of the influence of variance of the 3 geometrical parameters describing the shape of the forming channel. Based on the results of the performed analysis, conclusions are formulated to determine the basis and future direction of study to the development of single-channel dies allowing to extrude dry ice with effective compacting stress values.