Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-28T05:53:39.399Z Has data issue: false hasContentIssue false
  • English
  • Français

Flow between a Rotating and a Stationary Disc

Published online by Cambridge University Press:  07 June 2016

F. J. Bayley  and
J. M. Owen
F. J. Bayley
Affiliation:
University of Sussex
J. M. Owen
Affiliation:
University of Sussex
Get access

Summary

This paper deals with the effects of a superimposed radial outflow upon the motion of the fluid between a rotating and a stationary plane disc. This is an idealisation of the situation found in advanced turbo-machinery in which cooling of the rotor faces is necessary. The boundary layer approximations to the equations of fluid motion are integrated by an extension of the numerical technique proposed in Ref. 11. Predictions of drag torque and radial pressure distributions are compared with experimental results from a 30 in (762 mm) diameter system, using a range of speeds up to 4000 rev/min, while varying the axial spacing and rate of imposed radial flow. Qualitative agreement was satisfactory throughout the range, but quantitative discrepancies in the estimates of drag and in the pressure distributions at certain flow conditions suggest that the simple mixing length hypothesis used in this analysis for the turbulent shear terms in the equations of motion is not universally adequate.

Type
Research Article
Information
Aeronautical Quarterly , Volume 20 , Issue 4 , November 1969 , pp. 333 - 354
Copyright
Copyright © Royal Aeronautical Society. 1964

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

1. Von Karman, T. Uber laminare und turbulente Reibung. Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 1, p. 233, 1921.CrossRefGoogle Scholar
2. Dorfman, L. A. Hydrodynamic resistance and heat loss of rotating solids. Oliver and Boyd. Edinburgh, 1963.Google Scholar
3. Batchelor, G. K. Note on a class of solutions of the Navier-Stokes equations representing steady rotationally symmetric flow. Quarterly Journal of Mechanics, Vol. 29, p. 29, 1951.CrossRefGoogle Scholar
4. Stewartson, K. On the flow between two rotating coaxial discs. Proceedings, Cambridge Philosophical Society, Vol. 49, p. 333, 1953.CrossRefGoogle Scholar
5. Maroti, L. A., Deak, G. and Kreith, F. Flow phenomena of partially enclosed rotating discs. Journal of Basic Engineering, Transactions of the American Society of Mechanical Engineers, Vol. 82, p. 539, 1960.Google Scholar
6. Picha, K. G. and Eckert, E. R. G. Study of the air flow between coaxial discs rotating with arbitrary velocities in an open or enclosed space. Proceedings, Third U.S. National Congress of Applied Mechanics, p. 791. Pergamon Press, London, 1958.Google Scholar
7. Daily, J. W. and Nece, R. E. Chamber dimension effect on induced flow and frictional resistance of enclosed rotating discs. Journal of Basic Engineering, Transactions of the American Society of Mechanical Engineers, Vol. 82, p. 217, 1960.Google Scholar
8. Bayley, F. and Conway, L. Fluid friction and leakage between a stationary and rotating disc. Journal of Mechanical Engineering Science, Vol. 6, p. 164, 1964.CrossRefGoogle Scholar
9. Kreith, F., Doughman, E. and Kozlowski, H. Mass and heat transfer from an enclosed rotating disc with and without source flow. Journal of Heat Transfer, Transactions of the American Society of Mechanical Engineers, Vol. 85, p. 153, 1963.CrossRefGoogle Scholar
10. Sedach, V. S. Kinematics of air flow cooling a gas turbine disc. Trudy Khark, Politekh. Inst. Vol. 24, p. 69, 1957.Google Scholar
11. Spalding, D. B. and Patankar, S.V. Heat and mass transfer in boundary layers. Morgan-Grampian, London, 1967.Google Scholar
12. Patankar, S. V. and Spalding, D. B. A calculation procedure for solving the equations of the two-dimensional boundary layer. Imperial College Mechanical Engineering Department, Report TWF/TN/20, 1967.Google Scholar
13. Moller, P. S. Radial flow without swirl between parallel discs. Aeronautical Quarterly, Vol. XIV, p. 163. 1963.CrossRefGoogle Scholar