Hostname: page-component-5c6d5d7d68-sv6ng Total loading time: 0 Render date: 2024-08-20T18:38:34.031Z Has data issue: false hasContentIssue false
  • English
  • Français

Separation in a gas centrifuge at high feed flow rate

Published online by Cambridge University Press:  26 April 2006

Zhang Cunzhen  and
A. T. Conlisk
Zhang Cunzhen
Affiliation:
Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210, USA Permanent address: Department of Engineering Physics, Tsinghua University, Beijing, PRC.
A. T. Conlisk
Affiliation:
Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

The separation of a binary gas mixture for high feed flow rates such that the E¼ vertical shear layer is nonlinear is considered. Numerical solutions for the velocity field and the temperature within the centrifuge are computed using the method originally described by Bennetts & Hocking (1973). These solutions are inputs to the separation problem which is characterized by a concentration boundary layer also of width of O(E¼). Results are presented for a wide range of parameters and the effect of thermal drive strength is examined in detail. Surprisingly the numerical results indicate that the analytical solution for the separation factor given by Conlisk, Foster & Walker (1983) may be used far outside its strict asymptotic region of validity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 208 , November 1989 , pp. 355 - 373
Copyright
© 1989 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Barcilon, V. 1970 Some inertial modifications of the linear viscous theory of steady rotating fluid flows. Phys. Fluids 13, 537–544.Google Scholar
Bennetts, D. A. & Hocking, L. M. 1973 On nonlinear Ekman and Stewartson layers in a rotating fluid. Proc. R. Soc. Lond. A 333, 469–489.Google Scholar
Bird, R. B., Stewart, W. E. & Lightfoot, E. N. 1960 Transport Phenomena. Wiley.
Conltsk, A. T. 1983 The effect of source—sink geometry on enrichment in a gas centrifuge. Phys. Fluids 26, 2946–2957.Google Scholar
Conlisk, A. T. 1986a Fluid dynamics and design of gas centrifuges. In Encyclopedia of Fluid Mechanics (ed. N. Cheremisinoff), vol. 2, ch. 46. Gulf.
Conlisk, A. T. 1986b The effect of aspect ratio and feed flow rate on separative power in a gas centrifuge. Chem. Engng Set. 41, 2639–2650.Google Scholar
Conlisk, A. T., Foster, M. R. & Walker, J. D. A. 1983 Fluid dynamics and mass transfer in a gas centrifuge. J. Fluid Mech. 125, 283–317.Google Scholar
Conlisk, A. T. & Walker, J. D. A. 1982 Forced convection in a rotating annulus. J. Fluid Mech. 122, 91–108.Google Scholar
Hide, R. 1968 On source—sink flows in a rotating fluid. J. Fluid Mech. 32, 737–764.Google Scholar
Kai, T. 1975 Basic characteristics of centrifuges. I. Analysis of concentration distribution in centrifuge. J. Atmos. Environ. Soc. Japan 17, 131–140.Google Scholar
Kai, T. 1977 Basic characteristics of centrifuges. II. Analysis of fluid flow in centrifuges. J. Nuch. Sci. Tech. 14, 267–281.Google Scholar
Olander, D. R. 1981 The theory of uranium enrichment by the gas centrifuge. Prog. Nucl. Energy 8, 1–33.Google Scholar
Soubbaramayer 1979 Centrifugation. In Uranium Enrichment (ed. S. Villani), pp. 183–244. Springer.
Wood, H. G. & Sanders, G. 1983 Rotating compressible flows with internal sources and sinks. J. Fluid Mech. 127, 299–313.Google Scholar