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Three-dimensional numerical simulation of flows past scoops in a gas centrifuge

Published online by Cambridge University Press:  26 April 2006

Takuya Matsuda ,
Naoki Tamura  and
Keisuke Sawada
Takuya Matsuda
Affiliation:
Department of Aeronautical Engineering, Kyoto University, Kyoto 606, Japan
Naoki Tamura
Affiliation:
Department of Aeronautical Engineering, Kyoto University, Kyoto 606, Japan
Keisuke Sawada
Affiliation:
Aircraft Engineering Division, Kawasaki Heavy Industries Ltd, Kakamigahara 504, Japan
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Abstract

Three-dimensional numerical calculations of an inviscid gas past scoops in a gas centrifuge are performed by solving the Euler equations using the explicit Roe upwind scheme with a second-order of accuracy. The scoop is modelled as a cylindrical or a wing-shaped rod attached to a central tube and extending radially outwards, and no inlet flow to the scoop is assumed. The scoops are placed close to the bottom end plate, and there is no covering baffle plate. The numerical grid employed is of the multibox type. The main results are as follows. For a cylindrical scoop, a detached bow shock is formed in front of the scoop. Behind the shock, strong radially inward motion of gas towards the central axis is induced, and it excites an upward flow which becomes a countercurrent. The inward flow just in front of the scoop produces a vortex column in the upstream region of the scoop. For a wing-shaped scoop, an oblique shock attached to the scoop is formed, and an inward flow is induced behind the shock. The shock is not so strong as that in the case of a cylindrical scoop model. The drag coefficient of the wing-shaped scoop is almost one-fourth of that of the cylindrical scoop. The addition theorem of the scoop drag is verified for the wing-shaped scoop.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 201 , April 1989 , pp. 203 - 221
Copyright
© 1989 Cambridge University Press

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References

Agrawal, R. K. & Deese, J. E. 1983 Transonic wing-body calculations using Euler equations. AIAA Paper 83–0501.Google Scholar
Aoki, E. & Suzuki, M. 1985 Numerical studies on gas flow around scoop of a gas centrifuge In Proc. Sixth Workshop on Gases in Strong Rotation, Tokyo (ed. Y. Takashima), p. 11.
Bark, F. & Bark, T. 1976 On vertical boundary layers in a rapidly rotating gas. J. Fluid Mech. 78, 749.Google Scholar
Chakravarthy, S. R.1986 The versatility and reliability of Euler solvers based on high-accuracy TVD formulations. AIAA Paper 86–0243.Google Scholar
Elsholz, E. 1979 Problems and successes in calculating axisymmetric and three-dimensional extraction chamber flow In Proc. Third Workshop on Gases in Strong Rotation (ed. G. B. Scricini), Rome, p. 255.
Eriksson, L. E. 1982 Generation of boundary-conforming grids around wing-body configurations using transfinite interpolation. AIAA J. 20, 1313.Google Scholar
Harten, A. 1983 High resolution schemes for hyperbolic conservation laws. J. Comp. Phys. 49, 357.Google Scholar
Hittinger, M., Holt, M. & Soubbaramayer, B. 1981 Numerical solution of the flow field near a gas centrifuge scoop. Proc. Fourth Workshop on Gases in Strong Rotation, Oxford (ed. E. Rätz), p. 22.
Hittinger, M., Holt, M., Soubbaramayer & Cortet, C. 1983 Simulation of gas flow in front of the scoop of a gas centrifuge In Proc. Fifth Workshop on Gases in Strong Rotation, Charlottesville (ed. H. G. Wood), p. 515.
Kai, T. 1983a Numerical analysis of flow of binary gas mixture with large mass difference in rotating cylinder. J. Nucl. Sci. Tech. 20, 339.Google Scholar
Kai, T. 1983b Theoretical analysis of ternary UF6 gas isotope separation by centrifuge. J. Nucl. Sci. Tech. 20, 491.Google Scholar
Lee, K. D. 1981 3-D transonic flow computations using grid systems with block structure. AIAA Paper 81–0988.Google Scholar
Matsuda, T. & Hashimoto, K. 1976 Thermally, mechanically or externally driven flow in a gas centrifuge with insulated horizontal end plates. J. Fluid Mech. 78, 337.Google Scholar
Matsuda, T., Umeda, Y., Ishii, R., Yasuda, A. & Sawada, K. 1987 Numerical and experimental studies on choked underexpanded jets AIAA Paper 87–378.Google Scholar
Mikami, H. 1981 Rotating supersonic flow about scoop inlet using an unsteady implicit technique In Proc. Fourth Workshop on Gases in Strong Rotation, Oxford (ed. E. Rätz), p. 94.
Mikami, H. 1985 Two dimensional numerical calculation of flow fields about scoop inlet by the piecewise linear method In Proc. Sixth Workshop on Gases in Strong Rotation, Tokyo (ed. Y. Takashima), p. 67.
Nakayama, W. & Usui, S. 1974 Flow in a rotating cylinder of a gas centrifuge. J. Nucl. Sci. Tech. 11, 242.Google Scholar
Olander, D. R. 1972 Technical basis of the gas centrifuge. Adv. Nucl. Sci. Tech. 6, 105.Google Scholar
Rätz, E. 1978 Uranium isotope separation in the gas centrifuge. VKI Lecture Series. Von Karman Institute for Fluid Dynamics, Belgium.
Roberts, W. W. 1985 Three dimensional stratified gas flows past impact probes and scoops: N-body, Monte Carlo calculations In Proc. Sixth Workshop on Gases in Strong Rotation, Tokyo (ed. Y. Takashima), p. 115.
Roe, P. L. 1981 Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comp. Phys. 43, 357.Google Scholar
Rubbert, P. E. & Lee, K. D. 1982 Patched coordinate systems In Numerical Grid Generation (ed. J. F. Thompson). North-Holland.
Sakurai, T. 1981 Linearized thin-wing theory of gas-centrifuge scoops. J. Fluid Mech. 103, 257.Google Scholar
Sakurai, T. & Matsuda, T. 1974 Gas dynamics of a centrifugal machine. J. Fluid Mech. 62, 727.Google Scholar
Sawada, K., Shima, E., Matsuda, T. & Inaguchi, T. 1986 The Osher upwind scheme and its application to cosmic gas dynamics. Mem. Fac. Engng, Kyoto Univ. vol.48, No. 2.
Sawada, K. & Takanashi, S. 1987 A numerical investigation on wing/nacelle interferences of USB configuration. AIAA Paper 87–0455.Google Scholar
Soubbaramayer 1979 Uranium Enrichment (ed. S. Villani), p. 183. Springer.
Takanashi, S. & Sawada, K. 1988 A generation procedure for 3D block structured grid systems. NAL Tech. Rep. to be published.Google Scholar
Van Dyke, M. 1982 An Album of Fluid Motion. Parabolic.
Volosciuk, K. 1981 Application of the vortex transport equations to the calculation of 2 and 3 dimensional extraction chamber flows In Proc. Fourth Workshop on Gases in Strong Rotation, Oxford (ed. E. Rätz), p. 604.
Walz, A., Volosciuk, K. & Schutz, H. 1983 Numerical investigations of the flow field near a model of a scoop using the vortex transport equations In Proc. Fifth Workshop on Gases in Strong Rotation, Charlottesville (ed. H. G. Wood), p. 425.
Wood, H. G. & Morton, J. B. 1980 Onsager's pancake approximation for the fluid dynamics of a gas centrifuge. J. Fluid Mech. 101, 1.Google Scholar