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Title: Rule of thumb for binary isotope separations in a gas centrifuge

Abstract

A simple hypothetical model of the binary isotope separation process in a modern countercurrent Gas Centrifuge is proposed. Like the usual Cohen-Onsager separation theory, internal fluid dynamics are obviously involved. But unlike that theory it completely obviates the flow integrals for Cohen's E, thereby allowing an immediate estimate of the flow efficiency of a given design by visual inspection of the flow field. At times this should be checked later by the usual analyses. To shed some light on this idea, derivations for two simple assumed idealized hydrodynamics are given, but a rigorous proof remains an open question. Then the hypothesis is tested against a battery of about 10 new exact formulas for E based upon analytical solutions to several variants of Onsager's pancake equation and is found to be reasonably accurate and surprisingly robust. Finally, some limitations of the rule are explored.

Authors:
Publication Date:
Research Org.:
Oak Ridge Gaseous Diffusion Plant, TN
OSTI Identifier:
5514109
Resource Type:
Journal Article
Journal Name:
Sep. Sci. Technol.; (United States)
Additional Journal Information:
Journal Volume: 21:4
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL AND ANALYTICAL CHEMISTRY; GAS CENTRIFUGES; EFFICIENCY; PERFORMANCE; ISOTOPE SEPARATION; CALCULATION METHODS; DIFFUSION; FLUID FLOW; HYDRODYNAMICS; MATHEMATICAL MODELS; PREDICTION EQUATIONS; THEORETICAL DATA; CENTRIFUGES; CONCENTRATORS; DATA; EQUATIONS; FLUID MECHANICS; INFORMATION; MECHANICS; NUMERICAL DATA; SEPARATION PROCESSES; 400203* - Isotope Exchange & Isotope Separation- (-1987)

Citation Formats

Berger, M H. Rule of thumb for binary isotope separations in a gas centrifuge. United States: N. p., 1986. Web. doi:10.1080/01496398608057169.
Berger, M H. Rule of thumb for binary isotope separations in a gas centrifuge. United States. https://doi.org/10.1080/01496398608057169
Berger, M H. 1986. "Rule of thumb for binary isotope separations in a gas centrifuge". United States. https://doi.org/10.1080/01496398608057169.
@article{osti_5514109,
title = {Rule of thumb for binary isotope separations in a gas centrifuge},
author = {Berger, M H},
abstractNote = {A simple hypothetical model of the binary isotope separation process in a modern countercurrent Gas Centrifuge is proposed. Like the usual Cohen-Onsager separation theory, internal fluid dynamics are obviously involved. But unlike that theory it completely obviates the flow integrals for Cohen's E, thereby allowing an immediate estimate of the flow efficiency of a given design by visual inspection of the flow field. At times this should be checked later by the usual analyses. To shed some light on this idea, derivations for two simple assumed idealized hydrodynamics are given, but a rigorous proof remains an open question. Then the hypothesis is tested against a battery of about 10 new exact formulas for E based upon analytical solutions to several variants of Onsager's pancake equation and is found to be reasonably accurate and surprisingly robust. Finally, some limitations of the rule are explored.},
doi = {10.1080/01496398608057169},
url = {https://www.osti.gov/biblio/5514109}, journal = {Sep. Sci. Technol.; (United States)},
number = ,
volume = 21:4,
place = {United States},
year = {1986},
month = {6}
}