1 Copyright © 2006 by ASME
Proceedings of ASME Turbo Expo 2006
Power for Land, Sea and Air
May 8-11, 2006, Barcelona, Spain
GT2006-90959
UNSTEADY FLOW PHYSICS AND PERFORMANCE
OF A ONE-AND-1/2-STAGE UNSHROUDED HIGH WORK TURBINE
T. Behr, A. I. Kalfas, R. S. Abhari
Turbomachinery Laboratory
Swiss Federal Institute of Technology
8092 Zurich, Switzerland
contact: behr@lsm.iet.mavt.ethz.ch
ABSTRACT
This paper presents an experimental study of the flow
mechanisms of tip leakage across a blade of an unshrouded
turbine rotor. It shows the design of a new one-and-1/2-
stage, unshrouded turbine configuration, which has been
developed within the Turbomachinery Laboratory of ETH
Zurich. This test case is a model of a high work
(∆h/u
2
=2.36) axial turbine.
The experimental investigation comprises data from
unsteady and steady probe measurements, which has been
acquired around all the bladerows of the one-and-1/2-stage,
unshrouded turbine. A newly developed 2-sensor Fast
Response Aerodynamic Probe (FRAP) technique has been
used in the current measurement campaign. The paper
contains a detailed analysis of the unsteady interaction
between rotor and stator blade rows, with particular
attention paid on the flow in the blade tip region.
It has been found that the pressure field of the second
stator row has a influence on the development of the tip
leakage vortex downstream of the rotor. The vortex is
modulated by the stator profiles and shows variation in size
and relative position to the rotor trailing edge when it
stretches around the stator leading edge. Thereby a
deflection of the tip leakage vortex has been observed,
which expresses in a varying circumferential distance
between two neighboring vortices of ±20% of a rotor pitch.
Furthermore, a significant influence of quasi-stationary
secondary flow features of the upstream stator row on the
secondary flow of the rotor has been detected.
The geometry data of the one-and-1/2-stage turbine will
be available to the public domain for validation and
improvement of numerical tools.
NOMENCLATURE
c Absolute flow velocity [m/s]
c
p
Specific heat capacity at constant pressure [J/kg K]
Cps Static pressure coefficient, Cps =
p − p
3
p
t0
− p
3
[-]
Cpt Total pressure coefficient, Cpt =
p
t
− p
3
p
t0
− p
3
[-]
h Enthalphy [kJ/kg]
m & Massflow [kg/s]
M Torque [N m]
p Pressure [Pa]
R Perfect gas constant [J/kg K]
r Radius [m]
T Temperature [K]
u Rotational speed [m/s]
Greek
ε Turning angle [°]
ψ Loading coefficient (ψ=∆h/u
2
) [-]
φ Flow coefficient φ=c
x
/u [-]
φ Flow yaw angle (positive in rotor turning
direction)
[°]
γ Flow pitch angle (positive towards casing) [°]
κ Isentropic coefficient (κ=c
p
/c
v
) [-]
ω Rotational velocity [1/sec]
Abbreviations
5HP 5-Hole Probe
CFD Computational Fluid Dynamics
CoG Center of Gravity
FRAP Fast Response Aerodynamic Probe