The matrix through-flow analysis is applied to the hub-to-shroud stream surface of a centrifugal compressor impeller. The k-ε turbulence model is used to calculate the stress tensor necessary to obtain a dissipation force. Integration of the streamwise equation of motion yields an entropy field in agreement with the dissipation force. The results are compared with isentropic flow solutions. Furthermore, the effect on the velocity field of the initial velocity profiles and turbulence levels at the eye of the impeller are studied, as is the influence of the shroud on the flow.
Get full access to this article
View all access options for this article.
References
1.
WuC. H.‘A general theory of three-dimensional flow in subsonic and supersonic turbomachines of axial, radial and mixed flow types’, NACA-TN-2604 1952.
2.
MarshH.‘A digital computer program for the through flow fluid mechanics in an arbitrary turbomachine using a matrix method’, ARC R & M. (1968, 3509.
3.
BosmanC.MarshH.‘An improved method for calculating the flow in turbomachines including a consistent loss model’, J. mech. Engng Sci.197416, 25.
4.
GoulasA.BakerR. C.‘Through flow analysis of viscous and turbulent flows’, ARC CP1382 1977.
5.
StanitzJ. D.EllisG. D.‘Two-dimensional compressible flow in centrifugal compressors with straight blades’, NACA Rep. 154 1950.
6.
StanitzJ. D.‘Some theoretical aerodynamic investigations of impellers in radial and mixed-flow centrifugal compressors’, Trans. ASME195274, 473.
7.
HamrickJ. T.GinsburgA.OsbornW. M.‘Method of analysis of compressible flow through mixed flow centrifugal impellers of arbitrary design’, NACA-TM-2165 1950.
8.
VancoM. R.‘Fortran program for calculating velocities in the meridional plane of a turbomachine. I-centrifugal compressor’, NASA-TN-D16701 1972.
9.
KatsanisT.‘Use of arbitrary quasi-orthogonals for calculating flow distribution on a blade-to-blade surface in turbomachines’, NASA-TN-D-2809 1965.
10.
SenooY.NakaseY.‘An analysis of flow through mixed flow impeller’, ASME J. Engng Power197294, 43.
11.
GoulasA.Through flow analysis of a centrifugal compressor M.Sc. Thesis, University of London, 1974.
12.
HowardJ. H. G.OsbornC.‘A centrifugal compressor flow analysis employing a jet-wake passage model’, ASME J. Fluid Engng197799, 141.
13.
GoulasA.On the internal flow in centrifugal compressors Ph.D Thesis, University of London, 1977.
14.
LaunderB.SpaldingD. B.‘The numerical computation of turbulent flows’, Computer methods in applied mechanics and engineering19743, 269.
15.
EckardtD.‘Detailed flow investigation within a high speed centrifugal compressor impeller’, ASME J. Fluid Engng197698, 390.
16.
HowardJ. H. G.KittmerC. W.‘Measured passage velocities in a radial impeller with shrouded and unshrouded configurations’, ASME J. Engng Power197597, 207.
