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Title: Multi-isotope separation in a gas centrifuge using Onsager`s pancake model

Abstract

A method is developed to compute the optimal multi-isotope separation in a gas centrifuge. The method relies on three models: Onsager`s pancake equation, diffusion equations written for each isotope, and an optimization routine. Onsager`s equation, well studied in the past for UF{sub 6}, is adapted to multi-isotope gas mixtures, focusing on the three drives generating the counter current flow in practical centrifuges: feed drive, scoop drive, and linear wall thermal drive. Diffusion equations are written for each isotope in the initial form of partial differential equations (PDE) and reduced to ordinary differential equations (ODE) by the radial averaging method. These ODEs, linked with the solution of Onsager`s equation through two parameters (flow profile efficiency and scaled countercurrent flow), are solved by an iteration method, using the solutions of the two preceeding models, to determine the optimal countercurrent driving parameters. Two examples of application, having an industrial interest respectively in the reprocessing of nuclear waste and in the production of stable isotopes, are presented: The reenrichment of spent reactor uranium and the separation of chromium isotopes.

Authors:
; ;  [1]
  1. Univ. of Virginia, Charlottesville, VA (United States)
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
415080
Resource Type:
Journal Article
Journal Name:
Separation Science and Technology
Additional Journal Information:
Journal Volume: 31; Journal Issue: 9; Other Information: PBD: May 1996
Country of Publication:
United States
Language:
English
Subject:
40 CHEMISTRY; 05 NUCLEAR FUELS; URANIUM; GAS CENTRIFUGATION; SPENT FUELS; ONSAGER RELATIONS; REPROCESSING; CHROMIUM ISOTOPES

Citation Formats

Wood, H G, Mason, T C, and Soubbaramayer,. Multi-isotope separation in a gas centrifuge using Onsager`s pancake model. United States: N. p., 1996. Web. doi:10.1080/01496399608006946.
Wood, H G, Mason, T C, & Soubbaramayer,. Multi-isotope separation in a gas centrifuge using Onsager`s pancake model. United States. https://doi.org/10.1080/01496399608006946
Wood, H G, Mason, T C, and Soubbaramayer,. 1996. "Multi-isotope separation in a gas centrifuge using Onsager`s pancake model". United States. https://doi.org/10.1080/01496399608006946.
@article{osti_415080,
title = {Multi-isotope separation in a gas centrifuge using Onsager`s pancake model},
author = {Wood, H G and Mason, T C and Soubbaramayer,},
abstractNote = {A method is developed to compute the optimal multi-isotope separation in a gas centrifuge. The method relies on three models: Onsager`s pancake equation, diffusion equations written for each isotope, and an optimization routine. Onsager`s equation, well studied in the past for UF{sub 6}, is adapted to multi-isotope gas mixtures, focusing on the three drives generating the counter current flow in practical centrifuges: feed drive, scoop drive, and linear wall thermal drive. Diffusion equations are written for each isotope in the initial form of partial differential equations (PDE) and reduced to ordinary differential equations (ODE) by the radial averaging method. These ODEs, linked with the solution of Onsager`s equation through two parameters (flow profile efficiency and scaled countercurrent flow), are solved by an iteration method, using the solutions of the two preceeding models, to determine the optimal countercurrent driving parameters. Two examples of application, having an industrial interest respectively in the reprocessing of nuclear waste and in the production of stable isotopes, are presented: The reenrichment of spent reactor uranium and the separation of chromium isotopes.},
doi = {10.1080/01496399608006946},
url = {https://www.osti.gov/biblio/415080}, journal = {Separation Science and Technology},
number = 9,
volume = 31,
place = {United States},
year = {1996},
month = {5}
}