Title: The Berman-Olander Long-Bowl Solution Revisited
Citation: 12th Workshop on Separation Phenomena in Liquids and Gases
Publisher: SPLG Organizing Comitee - CEA
Publication Year: 2012
JRC N°: JRC69495
URI: https://www.sfen.fr/SPLG-2012
Type: Articles in periodicals and books
Abstract: The hydrodynamic equations for a long-bowl centrifuge can be simplified to obtain a one-dimensional differential equation for the variation of the dimensionless axial velocity in the radial direction. Subject to the boundary conditions and conservation of mass, the equation may be integrated directly to provide the solution. For high rotational speeds the solution can be simplified when certain simplifying assumptions are made. The simplified solutions are often used to obtain the separation parameters required in the analysis of centrifuges and associated cascades. In this study the differential equation was revisited and a finite element solution of the differential equation was developed. The original solution was also studied and it was found to be consistent with the finite element solution. It was also found that the finite element solution does not suffer from the singularities present in the simplified solutions, particularly at lower rotational speeds.
JRC Directorate:Nuclear Safety and Security

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