1987
DOI: 10.1002/fld.1650070303
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Finite element analysis of flow in a gas‐filled rotating annulus

Abstract: SUMMARYLinearized multidimensional flow in a gas centrifuge can be described away from the ends by Onsager's pancake equation. However a rotating annulus results in a slightly different set of boundary conditions from the usual symmetry at the axis of rotation. The problem on an annulus becomes ill-posed and requires some special attention. Herein we treat axially linear inner and outer rotor temperature distributions and velocity slip. An existence condition for a class of non-trivial, one-dimensional solutio… Show more

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Cited by 6 publications
(3 citation statements)
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“…This equation models the flow in a gas centrifuge, a physical motivation can be found in [35]. First finite element discretizations of this equation are given in [6,17]. In [14], a tensor product finite element with B-spline basis functions is used.…”
Section: Remark 22mentioning
confidence: 99%
“…This equation models the flow in a gas centrifuge, a physical motivation can be found in [35]. First finite element discretizations of this equation are given in [6,17]. In [14], a tensor product finite element with B-spline basis functions is used.…”
Section: Remark 22mentioning
confidence: 99%
“…The usual one-dimensional, axially symmetric solution was obtained as a limiting case. Analysis of compressible, finite length, circular Couette flow was also reported in Berger (1987). The thermal and hydrodynamical analysis of a counter-current gas flow in a rotating cylinder was carried out by Andrade & Bastos (1998).…”
Section: Introductionmentioning
confidence: 99%
“…Axially linear inner and outer temperature distributions and velocity slip were investigated by Berger (1987). An existence condition for a class of non-trivial, one-dimensional solutions was given.…”
Section: Introductionmentioning
confidence: 99%