A finite difference method for numerical simulation of a high speed rotating flow is improved by applying a homotopy algorithm. As a result a large-scale convergence algorithm is constructed to make numerical simulation of a rotating flow in the 2D axisymmetric model of a gas centrifuge for uranium enrichment. The computing code is verified and then applied for calculation of the flow field in a 2D GC operating in a total reflux mode. The peculiarities of an axial circulation flow in a working chamber of a GC are studied. The conclusion about the rate of attenuation of an axial circulation flow is made on the basis of the results obtained.
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