Prediction of ingress through turbine rim seals

Part 2 combined ingress

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In Part 1 of this two-part paper, the orifice equations were solved for the case of externally-induced ingress, where the effects of rotational speed are negligible. In Part 2, the equations are solved, analytically and numerically, for combined ingress (CI) where the effects of both rotational speed and external flow are significant. For the CI case, the orifice model requires the calculation of three empirical constants, including Cd,e,RI and Cd,e,EI, the discharge coefficients for rotationally-induced (RI) and externally-induced (EI) ingress. For the analytical solutions, the external distribution of pressure is approximated by a linear saw-tooth model; for the numerical solutions, a fit to the measured pressures is used. It is shown that, although the values of the empirical constants depend on the shape of the pressure distribution used in the model, the theoretical variation of C w,min (the minimum nondimensional sealing flow rate needed to prevent ingress) depends principally on the magnitude of the peak-to-trough pressure difference in the external annulus. The solutions of the orifice model for Cw,min are compared with published measurements, which were made over a wide range of rotational speeds and external flow rates. As predicted by the model, the experimental values of Cw,min could be collapsed onto a single curve, which connects the asymptotes for RI and EI ingress at the respective smaller and larger external flow rates. At the smaller flow rates, the experimental data exhibit a minimum value of Cw,min, which undershoots the RI asymptote. Using an empirical correlation for C d,e, the model is able to predict this undershoot, albeit smaller in magnitude than the one exhibited by the experimental data. The limit of the EI asymptote is quantified, and it is suggested how the orifice model could be used to extrapolate effectiveness data obtained from an experimental rig to engine-operating conditions.
Original languageEnglish
Title of host publicationASME Turbo Expo 2010
Subtitle of host publicationPower for Land, Sea, and Air, GT 2010
Place of PublicationNew York, U. S. A.
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages1235-1245
Number of pages11
Volume4
Publication statusPublished - 2010
EventASME Turbo Expo 2010: Power for Land, Sea, and Air, GT 2010, June 14, 2010 - June 18, 2010 - Glasgow, UK United Kingdom
Duration: 1 Jan 2010 → …

Publication series

NameProceedings of the ASME Turbo Expo
PublisherAmerican Society of Mechanical Engineers

Conference

ConferenceASME Turbo Expo 2010: Power for Land, Sea, and Air, GT 2010, June 14, 2010 - June 18, 2010
CountryUK United Kingdom
CityGlasgow
Period1/01/10 → …

Fingerprint

turbines
rims
orifices
asymptotes
predictions
flow velocity
discharge coefficient
annuli
sealing
teeth
troughs
pressure distribution
engines
curves

Cite this

Owen, J. M., Pountney, O., & Lock, G. (2010). Prediction of ingress through turbine rim seals: Part 2 combined ingress. In ASME Turbo Expo 2010: Power for Land, Sea, and Air, GT 2010 (Vol. 4, pp. 1235-1245). (Proceedings of the ASME Turbo Expo). New York, U. S. A.: American Society of Mechanical Engineers (ASME).

Prediction of ingress through turbine rim seals : Part 2 combined ingress. / Owen, J. Michael; Pountney, Oliver; Lock, Gary.

ASME Turbo Expo 2010: Power for Land, Sea, and Air, GT 2010. Vol. 4 New York, U. S. A. : American Society of Mechanical Engineers (ASME), 2010. p. 1235-1245 (Proceedings of the ASME Turbo Expo).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Owen, JM, Pountney, O & Lock, G 2010, Prediction of ingress through turbine rim seals: Part 2 combined ingress. in ASME Turbo Expo 2010: Power for Land, Sea, and Air, GT 2010. vol. 4, Proceedings of the ASME Turbo Expo, American Society of Mechanical Engineers (ASME), New York, U. S. A., pp. 1235-1245, ASME Turbo Expo 2010: Power for Land, Sea, and Air, GT 2010, June 14, 2010 - June 18, 2010, Glasgow, UK United Kingdom, 1/01/10.
Owen JM, Pountney O, Lock G. Prediction of ingress through turbine rim seals: Part 2 combined ingress. In ASME Turbo Expo 2010: Power for Land, Sea, and Air, GT 2010. Vol. 4. New York, U. S. A.: American Society of Mechanical Engineers (ASME). 2010. p. 1235-1245. (Proceedings of the ASME Turbo Expo).
Owen, J. Michael ; Pountney, Oliver ; Lock, Gary. / Prediction of ingress through turbine rim seals : Part 2 combined ingress. ASME Turbo Expo 2010: Power for Land, Sea, and Air, GT 2010. Vol. 4 New York, U. S. A. : American Society of Mechanical Engineers (ASME), 2010. pp. 1235-1245 (Proceedings of the ASME Turbo Expo).
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abstract = "In Part 1 of this two-part paper, the orifice equations were solved for the case of externally-induced ingress, where the effects of rotational speed are negligible. In Part 2, the equations are solved, analytically and numerically, for combined ingress (CI) where the effects of both rotational speed and external flow are significant. For the CI case, the orifice model requires the calculation of three empirical constants, including Cd,e,RI and Cd,e,EI, the discharge coefficients for rotationally-induced (RI) and externally-induced (EI) ingress. For the analytical solutions, the external distribution of pressure is approximated by a linear saw-tooth model; for the numerical solutions, a fit to the measured pressures is used. It is shown that, although the values of the empirical constants depend on the shape of the pressure distribution used in the model, the theoretical variation of C w,min (the minimum nondimensional sealing flow rate needed to prevent ingress) depends principally on the magnitude of the peak-to-trough pressure difference in the external annulus. The solutions of the orifice model for Cw,min are compared with published measurements, which were made over a wide range of rotational speeds and external flow rates. As predicted by the model, the experimental values of Cw,min could be collapsed onto a single curve, which connects the asymptotes for RI and EI ingress at the respective smaller and larger external flow rates. At the smaller flow rates, the experimental data exhibit a minimum value of Cw,min, which undershoots the RI asymptote. Using an empirical correlation for C d,e, the model is able to predict this undershoot, albeit smaller in magnitude than the one exhibited by the experimental data. The limit of the EI asymptote is quantified, and it is suggested how the orifice model could be used to extrapolate effectiveness data obtained from an experimental rig to engine-operating conditions.",
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N2 - In Part 1 of this two-part paper, the orifice equations were solved for the case of externally-induced ingress, where the effects of rotational speed are negligible. In Part 2, the equations are solved, analytically and numerically, for combined ingress (CI) where the effects of both rotational speed and external flow are significant. For the CI case, the orifice model requires the calculation of three empirical constants, including Cd,e,RI and Cd,e,EI, the discharge coefficients for rotationally-induced (RI) and externally-induced (EI) ingress. For the analytical solutions, the external distribution of pressure is approximated by a linear saw-tooth model; for the numerical solutions, a fit to the measured pressures is used. It is shown that, although the values of the empirical constants depend on the shape of the pressure distribution used in the model, the theoretical variation of C w,min (the minimum nondimensional sealing flow rate needed to prevent ingress) depends principally on the magnitude of the peak-to-trough pressure difference in the external annulus. The solutions of the orifice model for Cw,min are compared with published measurements, which were made over a wide range of rotational speeds and external flow rates. As predicted by the model, the experimental values of Cw,min could be collapsed onto a single curve, which connects the asymptotes for RI and EI ingress at the respective smaller and larger external flow rates. At the smaller flow rates, the experimental data exhibit a minimum value of Cw,min, which undershoots the RI asymptote. Using an empirical correlation for C d,e, the model is able to predict this undershoot, albeit smaller in magnitude than the one exhibited by the experimental data. The limit of the EI asymptote is quantified, and it is suggested how the orifice model could be used to extrapolate effectiveness data obtained from an experimental rig to engine-operating conditions.

AB - In Part 1 of this two-part paper, the orifice equations were solved for the case of externally-induced ingress, where the effects of rotational speed are negligible. In Part 2, the equations are solved, analytically and numerically, for combined ingress (CI) where the effects of both rotational speed and external flow are significant. For the CI case, the orifice model requires the calculation of three empirical constants, including Cd,e,RI and Cd,e,EI, the discharge coefficients for rotationally-induced (RI) and externally-induced (EI) ingress. For the analytical solutions, the external distribution of pressure is approximated by a linear saw-tooth model; for the numerical solutions, a fit to the measured pressures is used. It is shown that, although the values of the empirical constants depend on the shape of the pressure distribution used in the model, the theoretical variation of C w,min (the minimum nondimensional sealing flow rate needed to prevent ingress) depends principally on the magnitude of the peak-to-trough pressure difference in the external annulus. The solutions of the orifice model for Cw,min are compared with published measurements, which were made over a wide range of rotational speeds and external flow rates. As predicted by the model, the experimental values of Cw,min could be collapsed onto a single curve, which connects the asymptotes for RI and EI ingress at the respective smaller and larger external flow rates. At the smaller flow rates, the experimental data exhibit a minimum value of Cw,min, which undershoots the RI asymptote. Using an empirical correlation for C d,e, the model is able to predict this undershoot, albeit smaller in magnitude than the one exhibited by the experimental data. The limit of the EI asymptote is quantified, and it is suggested how the orifice model could be used to extrapolate effectiveness data obtained from an experimental rig to engine-operating conditions.

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BT - ASME Turbo Expo 2010

PB - American Society of Mechanical Engineers (ASME)

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