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RUSSIAN FEDERAL
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NUMERICAL SIMULATION OF 3D GAS FLOW IN GAS CENTRIFUGA. PART 1. DESCRIPTION OF THE METHOD

Yu. V. Yanilkin, V. P. Statsenko, Yu. D. Chernyshev, S. P. Belyaev, V. Yu., Kolobyanin, A. V. Kondrashenko, O. O. Toporova, I. Yu. Turutina
VANT. Ser.: Mat. Mod. Fiz. Proc 2022. Вып.3. С. 3-19.

This is the first part of the work describing the effort on 3D numerical simulation of the rarefied gas in the real gas centrifuga with the account for the physical viscosity and thermal conductivity. A numerical method is described; its realization is carried out on the basis of EGAK on a cylinder mesh in a special coordinate system using a parallel computer. A part of processes is approximated in an immobile Cartesian coordinate system, and the other part - in the inertial cylindrical system. The method is meant for the end-to-end simulation of the whole process of centrifuga operation without implementation of approximated methods of linking the computation results in different regions of the centrifuga. Aiming at this, we use an approximation based on the fact that the equations of gas dynamics, thermal conductivity and diffusion are implemented everywhere. An approach based on the solution of 3D Navier-Stokes equations is used in all centrifuga including the regions of 2D flow in the separating chamber. Decomposition by processes is used to improve the efficiency of the program where only one process comes for the region of the 2D flow. This allows saving computational resources by orders of magnitude. Testing results for the method are given in the second part of the publication.

Keywords: gas centrifuga, separating chamber, sample and stripping chamber, EGAK method, viscous liquid, heat exchange, numerical method.

NUMERICAL SIMULATION OF 3D GAS FLOW IN GAS CENTRIFUGA. PART 2. COMPUTATION RESULTS OF MODEL "IGUASSU" CENTRIFUGA

Yu. V. Yanilkin, V. P. Statsenko, Yu. D. Chernyshev, S. P. Belyaev, V. Yu., Kolobyanin, A. V. Kondrashenko, O. O. Toporova, I. Yu. Turutina
VANT. Ser.: Mat. Mod. Fiz. Proc 2022. Вып.3. С. 20-36.

This is the continuation of the first part of the effort on 3D numerical simulation of flows in gas cenrifuga by the group of authors. The second part describes test problems on the "Iguassu" model centrifuga and the outcomes of their simulation using the 3D method described in the first part. The following problems were analized: solid-state rotation of gas with constant temperature; establishing solid-state rotation; gas-dynamic problem with account for thermal conductivity, for which analytical solution has been produced; one-chamber model of the gas centrifuga rotor, for which analytical solution has been produced; a problem with two-chamber model of the gas centrifuga rotor, where the influence of the point of linking 2D and 3D areas of the solution was studied as well as convergence of numerical solution when refining the mesh; 1D diffusion problem with an analytical solution. Acceptable agreement with analytical solutions was produced for all tests.

Keywords: gas centrifuga, "Iguassu" centrifuga, separating chamber, sample chamber, viscous liquid, heat exchange, numerical simulation.








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