Verification of numerical codes for modeling of the flow and isotope separation in gas centrifuges

•Semi-analytical solution for the thermal circulation in gas centrifuges is proposed.•The solution describes a system of vortices generated along radial direction.•The number of the vortices depends on the length of the centrifuge.•A new benchmark test for GC codes is presented.•Comparison with the...

Full description

Saved in:
Bibliographic Details
Published in:Computers & fluids 2013-11, Vol.86, p.177-184
Main Authors: Bogovalov, S.V., Borisevich, V.D., Borman, V.D., Kislov, V.A., Tronin, I.V., Tronin, V.N.
Format: Article
Language:English
Subjects:
Boundary conditions
Circulation
Computational fluid dynamics
Fluid flow
Gas centrifuge
Gas centrifuges
Gas flow
Isotope separation
Mathematical models
Numerical codes
Numerical simulation
Rotors
Uranium separation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:•Semi-analytical solution for the thermal circulation in gas centrifuges is proposed.•The solution describes a system of vortices generated along radial direction.•The number of the vortices depends on the length of the centrifuge.•A new benchmark test for GC codes is presented.•Comparison with the numerical solutions suggests that the semi-analytical solution is correct. A new method for verification of numerical codes for modeling of gas flow and isotope separation in gas centrifuges (GC) is proposed. The method is based on a semi-analytical solution of the problem of gas circulation in the rotating cylinder (rotor) with an infinite length. The problem is solved for a small amplitude perturbation of the rigid rotation of the gas. It is assumed that the circulation drives, thermal or mechanical origin, vary with the coordinate along the rotation axis harmonically. Solution of the system of equations in partial derivatives is reduced to the solution of the system of ordinary differential equations which can be solved with any accuracy by well known methods. The gas circulation in the solution consists of the system of vortexes periodically located along the rotation axis. The comparison of the semi-analytical solution with the numerical one is possible provided that periodical boundary conditions are specified at the end caps of the rotor of GC. Special attention is paid to the case when the conventional rigid wall boundary conditions are specified at the end caps of the rotor. It is shown that the developed semi-analytical solution can be applied for the verification of the numerical codes in this case as well.
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2013.07.002