Hostname: page-component-77c89778f8-cnmwb Total loading time: 0 Render date: 2024-07-19T09:34:40.020Z Has data issue: false hasContentIssue false
  • English
  • Français

Flow in a partially filled, rotating, tapered cylinder

Published online by Cambridge University Press:  26 April 2006

R. J. Ribando ,
J. L. Palmer  and
J. E. Scott
R. J. Ribando
Affiliation:
Department of Mechanical and Aerospace Engineering, School of Engineering and Applied Science, University of Virginia, Charlottesville, VA 22901, USA
J. L. Palmer
Affiliation:
Department of Mechanical and Aerospace Engineering, School of Engineering and Applied Science, University of Virginia, Charlottesville, VA 22901, USA Present address: High Temperature Gas Dynamics Laboratory, Mechanical Engineering Department, Stanford University, Stanford, CA 94305,
J. E. Scott
Affiliation:
Department of Mechanical and Aerospace Engineering, School of Engineering and Applied Science, University of Virginia, Charlottesville, VA 22901, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

The secondary flow patterns induced by a differentially rotating lid in a partially filled, rapidly rotating, tapered cylinder have been investigated. Using a new laser-Doppler velocimeter system capable of making measurements in the rotor frame of reference, the radial dependence of the azimuthal and axial velocity components was measured at two axial positions in the rotor. A linear, asymptotic analysis and a finite-difference simulation were made for comparison. The latter was performed on a boundary-fitted computational mesh so that the slanted rotor wall and the sagging free surface could be accommodated in the model. The agreement between the experimental and numerical results was excellent for the azimuthal velocity component and good for the axial component. Of particular interest is the modified E½ boundary layer on the slanted wall, a feature which is not present with a vertical sidewall.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 203 , June 1989 , pp. 541 - 555
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

Beggs, G. O.: 1984 Flow measurements in rotating fluids. M. S. thesis, University of Virginia.
Dongarra, J. J., Moler, C. B., Bunch, J. R. & Stewart, G. W., 1979 Linpack User's Guide. Philadelphia: SIAM.
Greenspan, H. P.: 1968 The Theory of Rotating Fluids. Cambridge University Press.
Greenspan, H. P.: 1982 Simulation of countercurrent flow in a gas centrifuge. School of Engineering and Applied Science. University of Virginia, Rep. UVA-ER-746–82U.Google Scholar
Harlow, F. H. & Welch, J. E., 1965 Numerical calculations of time-dependent viscous incompressible flow of fluid with a free surface. Phys. Fluids 8, 2182–2189.Google Scholar
van Heijst, G. J. F.: 1986 Fluid flow in a partially-filled rotating cylinder. J. Eng Math 20, 233–250.Google Scholar
Heuser, G. E., Ribando, R. J. & Wood, H. G., 1986 A numerical simulation of inertial waves in a rotating fluid. Computer Meth. Appl Mech. Eng 57, 207–222.Google Scholar
Hoglund, R. L., Shacter, J. & Von Halle, E. 1979 Diffusion separation methods. Encyclopedia of Chemical Technology, 7, 3rd edn Wiley.
Maliska, C. R. & Raithby, G. D., 1984 A method for computing three dimensional flows using non-orthogonal boundary-fitted coordinates. Intl J. Numer. Meth. Fluids 4, 519–537.Google Scholar
Olander, D. R.: 1972 Technical basis of the gas centrifuge. Adv. Nuclear Sci. Technol. 6, 105.Google Scholar
Ostrander, M. J.: 1985 Elliptic grid generation. M. S. thesis, University of Virginia.
Palmer, J. L.: 1987 Flow in a partially filled rotating tapered cylinder, M. S. thesis, University of Virginia.
Patel, N. R. & Briggs, D. G., 1983 A MAC scheme in boundary-fitted curvilinear coordinates. Numer. Heat Transfer 6, 383–394.Google Scholar
Popp, C. G.: 1987 Countercurrent velocity measurements from the rotating frame of reference. M. S. thesis, University of Virginia.
Ribando, R. J. & Shadday, M. A., 1984 The Ekman matching condition in a partially filled rapidly rotating cylinder. J. Comp. Phys. 53, 266–288.Google Scholar
Shadday, M. A.: 1982 Flow in a partially filled rotating cylinder. Ph.D. thesis, University of Virginia.
Shadday, M. A., Ribando, R. J. & Kauzlarich, J. J., 1983 Flow of an incompressible fluid in a partially filled rapidly rotating cylinder with a differentially rotating cylinder. J. Fluid Mech. 130, 203–218.Google Scholar
Smith, J. C.: 1983 Axial flow in a tapered wall centrifuge. B. S. thesis, University of Virginia.
Tokoi, H., Ozaki, N. & Harada, I., 1980 Measurements of velocity profiles of gas in a rapidly rotating cylinder. Rev. Sci. Instrum. 51, 1318–1322.Google Scholar