An inverse design of a double-pitch passage for an infinite cascade model experiment

Abstract

In this study, sidewalls of a turbine cascade experimental apparatus are designed to satisfy periodic flow conditions with two blades without any flow control or tailboards. Generally, the turbine cascade experimental apparatus needs removing fluid from the cascade walls or adjusting tailboards located downstream of the cascade to establish periodic flow conditions through the cascade blades. If a linear turbine cascade often consists of only a few blades within a passage, advantages to this experimental arrangement are increased from using larger turbine cascades, a lower mass flowrate and corresponding decrease in required power, and easier optical access within the cascade passage. However, fewer blades in the cascade make it difficult to establish periodic flow conditions between blades compared to infinite cascade flow conditions. In order to test a turbine cascade with a few blades without flow control devices, only two turbine blades are installed within a double-pitch passage. Sidewall shape is designed with 12 geometric design variables using a gradient-based optimization method, and surface isentropic Mach number distribution on the blades is chosen for the existence of periodic flow conditions. The computed result shows periodic flow conditions obtained by modifying only the sidewalls of the double-pitch passage as a cascade experimental apparatus.

Keywords

cascade inverse design optimization compressible flow sidewalls

Get full access to this article

View all access options for this article.

References

Ozturk

Schoberi

M. T.

, ‘Effect of turbulence intensity and periodic unsteady wake flow condition on boundary layer development, separation, and reattachment along the suction surface of a low-pressure turbine blade’ J. Fluid Eng. 129 (2007): 747–763.

Bloxham

Riemann

Crapo

Pluim

Bons

J. P.

, ‘Synchronizing separation flow control with unsteady wakes in a low-pressure turbine cascade. In Proceedings of the ASME Turbo Expo’. In Proceedings of the ASME Turbo Expo, GT2007-27525, Montreal, Canada, May 2007.

Stiger

R. D.

Hodson

H. P.

, ‘The transition mechanism of highly loaded low-pressure turbine blades’ J. Turbomach. 126 (2004): 536–543.

Griffin

L. W.

Dorney

D. J.

Huber

F. W.

Tran

Shyy

Papila

, ‘Detailed aerodynamic design optimization of an RLV turbine’. In Proceedings of the 37th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, Salt Lake, Utah, USA, 8–11 July 2001, AIAA paper 2001-3397.AIAA paper 2001-3397.

Talya

S. S.

Chattopadhyay

Rajadas

J. N.

, ‘Multidisciplinary design optimization procedure for improved design of a cooled gas turbine blade’ Eng. Optim. 34 2 (2002): 175–194.

Mengistu

Ghaly

, ‘Single and multipoint shape optimization of gas turbine blade cascades’. In Proceedings of the Tenth AIAA/ISSMOMultidisciplinary Analysis and Optimization Conference, Albany, New York, 30–31 August 2004, AIAA paper 2004-4446.AIAA paper 2004-4446.

Gorrell

S. E.

Car

Puterbaugh

S. L.

Estevedeordal

Okiishi

T. H.

, ‘An investigation of wake—shock interaction in a transonic compressor with digital particle image velocimetry and time-accurate computational fluid dynamics’ J. Turbomach. 128 (2006): 616–626.

Dornberger

Stoll

Buche

Neu

, ‘Multidisciplinary turbomachinery blade design optimization’ (2000) AIAA paper no. 2000-0838.

Giess

P. A.

Kost

, ‘Detailed experimental survey of the transonic flow field in a rotating turbine cascade’. In Proceedings of the Second European Conference on Turbomachinery-fluid dynamics and thermodynamics, Belgium, 3–7March 1997.

10.

Lang

Morck

Woisetschlager

, ‘Stereoscopic particle image velocimetry in a transonic turbine stage’ Exp. Fluids 32 (2002): 700–709.

11.

Yun

Y. I.

Porreca

Kalfas

A. I.

Song

S. J.

Abhari

R. S.

, ‘Investigation of 3-D unsteady flows in a two-stage shrouded axial turbine using stereoscopic PIV and FRAP—part II; kinematics of shroud cavity flow’. In Proceedings of the ASME Turbo Expo GT2006-91020, Barcelona, Spain, 8–11May 2006.

12.

X. J.

Liu

B. J.

, ‘Stereoscopic PIV measurement of unsteady flows in an axial compressor stage’ Exp. Therm. Fluid Sci. 31 8 (2007): 1049–1060.

13.

Schobeiri

M. T.

Pappu

, ‘Experimental study on the effect of unsteadiness on boundary layer development on a linear turbine cascade’ Exp. Fluids 23 (1997): 306–316.

14.

Kaszeta

R. W.

Simon

T. W.

, ‘. Experimental investigation of transition to turbulence as affected by passing wakes’ (Cleveland: 2002) NASA Contractor report, NASA-CR-2002-212104.

15.

Stiger

R. D.

Hollis

Hodson

H. P.

, ‘Unsteady surface pressure due to wake-induced transition in a laminar separation bubble on a low-pressure cascade’ J. Turbomach. 126 (2004): 544–550.

16.

Laskowski

G. M.

Vicharelli

Medic

Elkin

C. J.

Eaton

J. K.

Durbin

P. A.

, ‘Inverse design of and experimental measurements in a double-passage transonic turbine cascade model’ J. Turbomach. 127 (2005): 619–626.

17.

Kiock

Lehthaus

Baines

N. C.

Sieverding

C. H.

, ‘The transonic flow through a plane turbine cascade as measured in four European wind tunnels’ J. Eng. Gas Turbines Power 108 (1986): 277–284.

18.

Visual DOC reference manual version 6.0, 2006, Vanderplaats R&D Inc.

19.

CFX-11, 2007, version 11. ANSYS Inc.