A method for calculating three-dimensional, time-dependent, inviscid, subsonic flow is presented. Application is made to flow through the rotor of a small radial inflow turbine and comparison with conventional through-flow calculations and experimental results is made. The nature of the strong secondary flow in this rotor indicates the probable inadequacy of the two-dimensional calculations which is confirmed by the comparison.
Get full access to this article
View all access options for this article.
References
1.
DentonJ. D.‘Extension of the finite area time marching method to three dimensions’, A.R.C. Aero Th. 33 September 1976.
2.
BryceJ. C.PitchfieldM. R.‘Experience of the Denton blade-to-blade time marching computer programs’, ARC. Aero. Th. 36 September 1976.
3.
MajumdarA. K.SpaldingD. B.‘A numerical investigation of flow in rotating radial diffusers’, 21st Int. Gas Turbine Conf., A.S.M.E. New Orleans, 1976.
4.
Al-NakeebM.Development of a FORTRAN through-flow program and its application to the analysis of experimental results M.Sc. Thesis, UMIST, May 1973.
5.
HightonJ.The computation of viscous two-dimensional flow through turbomachine passages M.Sc. Thesis, UMIST, May 1973.
6.
BosmanC.El-ShaarawiM.‘Three-dimensional numerical solution of flow in turbomachines’, A.S.M.E. 76-FE-23 April 1976.
7.
HightonJ.The computation of three-dimensional viscous flow with generalised geometry Ph.D. Thesis, UMIST, 1976.
8.
SenooY.YamaguchiM.NishiM.‘A photographic study of three-dimensional flow in a radial compressor’, Trans. A.S.M.E. series A, J. Eng. Power July 1968.
9.
DeanR. C.SenooY.‘Rotating Wakes in Vainless Diffusers’, Trans. A.S.M.E. Series D, J. Basic Engng. September 1960.
10.
EckardtD.‘Instantaneous measurements in the jet-wake discharge flow of a centrifugal compressor impeller’, Trans. A.S.M.E. Series A, J. Eng. Power July 1975.
11.
HowardJ. H.KittmerC. W.‘Measured passage velocities in a radial impeller with shrouded and unshrouded configurations’, A.S.M.E. Paper No. 74-GT-66.
12.
MarshH.‘A digital computer program for the through-flow fluid mechanics in an arbitrary turbomachine using a matrix method’, A.R.C.R. & M. 3509 1966.
13.
HiettG. F.JohnsonI. H.‘Experiments concerning the aerodynamic performance of inward flow radial turbines’, Proc. I. Mech. E.1964178 (Pt 31).
14.
WuC. H.‘A general theory of three-dimensional flow in subsonic and supersonic turbomachines of axial-, radial- and mixed-flow types’, NACA T.M. 2604 January 1952.
15.
AmesW. F.Non-linear partial differential equations in engineering19651, 1972 2 (Academic Press, New York).