Theories and experiments on secondary losses in axial turbine cascades without end clearance are reviewed. A formula is given which correlates the effect of blade loading on secondary losses more successfully than hitherto. However, it is also shown that secondary losses increase with upstream wall boundary layer thickness. Only a tentative expression for that effect can be suggested. In order to predict secondary losses reliably more must be known about these wall boundary layers.
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References
1.
AinleyD. G.MathiesonG. C. R.‘A method of performance estimation for axial-flow turbines’, R & M 2974, 1951 (December).
2.
CarterA. D. S.CohenE. M.‘Preliminary investigation into the three-dimensional flow through a cascade of aerofoils’, R & M 2339, 1946 (February).
3.
AinleyD. G.MathiesonG. C. R.‘An examination of the flow and pressure losses in blade rows of axial flow turbines’, R & M 2891, 1951 (March).
LakshminarayanaB.HorlockJ. H.‘Review: Secondary flows and losses in cascades and axial-flow turbomachines’, Int. J. Mech. Sci.19635, 287.
6.
HawthorneW. R.‘Some formulae for the calculation of secondary flow in cascades’, A.R.C. Report No. 17 519, 1955 (March).
7.
StewartW. L.WhitneyW. J.WongR. Y.‘A study of boundary layer characteristics of turbomachine blade rows and their relation to overall blade loss’, J. Basic Engng, Trans. Am. Soc. mech. Engrs196082, (Series D), 588.
HerzigH. Z.HansenA. G.‘Visualization studies of secondary flows with applications to turbomachines’, Trans. Am. Soc. mech. Engrs195577, 249.
10.
TurnerJ. R.‘An investigation of the end-wall boundary layer of a turbine-nozzle cascade’, Trans. Am. Soc. mech. Engrs195779, 1801.
11.
SenooY.‘The boundary layer on the end wall of a turbine nozzle cascade’, Trans. Am. Soc. mech. Engrs195880, 1711.
12.
ArmstrongW. D.‘The secondary flow in a cascade of turbine blades’, R & M 2979, 1955 (March).
13.
WolfH.‘Die Randverluste in geraden Schaufelgittern’, Wiss. Z. tech. Hochsch. Dresden196110 (No. 2); R.A.E. Library Translation No. 1336.
14.
LouisJ. F.‘Secondary flow and losses in a compressor cascade’, R & M 3136, 1958 (March).
15.
EhrichF. F.DetraR. W.‘Transport of the boundary layer in secondary flow’, J. aero. Sci.195421, 136.
16.
HawthorneW. R.‘The applicability of secondary flow analyses to the solution of internal flow problems’, Fluid mechanics of internal flow1967 (editor SovranG.) (Elsevier Publishing Co., Amsterdam).
BauermeisterK. J.‘Über den Einfluss der Schaufelbelastung auf die Sekundärströmung in geraden Turbinenund Verdichtergittern’, VDI ForschHft496, 1963, 11 (N.E.L. Translation 1548).
19.
BaljéO. E.‘Axial cascade technology and application to flow path designs, Part 1’, Am. Soc. Mech. Engrs Paper No. 68-GT-5, 1968.
BoulterR. A.‘The effect of aspect ratio on the secondary losses in a cascade of impulse turbine blades’, unpublished Pametrada Report, 1962 (February).
22.
ScoltockJ. K. Unpublished Bristol-Siddeley Report, 1963.
23.
SoderbergC. R. Unpublished notes, Gas Turbine Laboratory, M.I.T., 1949 (quoted in reference (17)).
24.
ScholzN.‘Secondary flow losses in turbine cascades’, J. aero. Sci.195421, 707.
25.
MarkovN. H.‘Calculation of the aerodynamic characteristics of turbine blading’, Translation by Associated Technical Services, 1958 (quoted in reference (17)).
26.
VavraM. H.Aero thermodynamics and fluid flow in turbomachinery1960 (John Wiley, New York).
27.
HawthorneW. R.‘Secondary circulation in fluid flow’, Proc. R. Soc.1951206, (Series A), 374.
28.
NewW. R.‘An investigation of energy losses in steam-turbine elements by impact-traverse static test with air at sub-acoustic velocities’, Trans. Am. Soc. mech. Engrs194062, 489.
29.
KraftH.‘Reaction tests of turbine nozzles for subsonic velocities’, Trans. Am. Soc. mech. Engrs194971, 781.
30.
RohlikH. E.KofskeyM. G.AllenH. W.HerzigH. Z.‘Secondary flows and boundary layer accumulations in turbine nozzles’, N.A.C.A. Rep.1168, 1954.
31.
HubertG.‘Untersuchungen über die Sekundärverluste in axialen Turbomaschinen’, VDI ForschHft496, 1963, 5 (N.E.L. Translation 1548).
32.
HeathF. R. Unpublished Westinghouse Report, 1955 (June).
33.
WolfH.‘A contribution to the problem of secondary flows in turbomachines’ (in German), Wiss. Z. tech. Hochsch. Dresden1959 (No. 8).
34.
StratfordB. S.‘The use of boundary layer techniques to calculate the blockage from the annulus boundary layers in a compressor’, Am. Soc. Mech. Engrs Paper 67-WA/GT-7, 1967 (November).
35.
WongR. Y.MiserJ. W.StewartW.L.‘Qualitative study of flow characteristics through single-stage turbines as made from rotor-exit surveys’, N.A.C.A. RM E55 K21, 1955.
36.
RohlikH. E.WintuckyW. T.ScibbeH. W.‘Investigation of 0·6 hub-tip radius-ratio transonic turbine designed for secondary flow study. Part II’, N.A.C.A. RM E57 E09, 1957.
HolligerK.‘Further developments of steam turbine blading’, Escher-Wyss News196033, 75.
39.
ToddK. W.‘Flow characteristics in steam turbines’, Conference at Polish Academy of Sciences, Gdansk, 1962 (November).
40.
BownR. L.‘An investigation of the secondary flow phenomena in a cascade of high-deflection axial-flow impulse turbine blades’, M.Sc. Thesis, U.S. Navy Postgraduate School, Monterey, 1966 (December).
41.
WilliamsB. A. Unpublished Bristol-Siddeley Report, 1962 (May).
42.
FosterD. V.‘Effect of flare on the losses of nozzle guide vane cascade’, unpublished work at N.G.T.E., 1948.
