Experimental Assessment of Correlative Approaches for the Prediction of Leakage Flow through Labyrinth Seals

Simple analytical models can be employed to estimate the leakage mass flow rate from labyrinth seals, resulting in a quick procedure, well suited for the early design process. Different formulas were proposed by many authors during the past decades and most of them employ a carry-over factor and a f...

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Main Authors: Niccolò Castelli, Tommaso Bacci, Alessio Picchi, Lorenzo Winchler, Bruno Facchini
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/12/6863
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author Niccolò Castelli
Tommaso Bacci
Alessio Picchi
Lorenzo Winchler
Bruno Facchini
author_facet Niccolò Castelli
Tommaso Bacci
Alessio Picchi
Lorenzo Winchler
Bruno Facchini
author_sort Niccolò Castelli
collection DOAJ
description Simple analytical models can be employed to estimate the leakage mass flow rate from labyrinth seals, resulting in a quick procedure, well suited for the early design process. Different formulas were proposed by many authors during the past decades and most of them employ a carry-over factor and a flow coefficient to predict the mass flow rate across the clearance area. The present work aims to compare the analytical prediction with the results of an experimental campaign. The experimental results were retrieved from a dedicated test rig for both a straight-through and a stepped labyrinth seal. Hence, for each seal, the effect of the clearance size, the Reynolds number and the pressure ratio has been investigated. Starting from the experimental required inputs, six different correlations are considered, with both direct and indirect methods. The results are shown as a function of pressure ratio and clearance gap. Despite some differences in the comparison, and most of the used correlation underestimate the measured mass flow rate, some general trends and guidelines can be highlighted.
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spelling doaj.art-df0444edf8ec495fb0febae4179328512023-11-18T09:05:35ZengMDPI AGApplied Sciences2076-34172023-06-011312686310.3390/app13126863Experimental Assessment of Correlative Approaches for the Prediction of Leakage Flow through Labyrinth SealsNiccolò Castelli0Tommaso Bacci1Alessio Picchi2Lorenzo Winchler3Bruno Facchini4Department of Industrial Engineering (DIEF), University of Florence, 50139 Firenze, ItalyDepartment of Industrial Engineering (DIEF), University of Florence, 50139 Firenze, ItalyDepartment of Industrial Engineering (DIEF), University of Florence, 50139 Firenze, ItalyBaker Hughes—Nuovo Pignone Tecnologie, 50127 Firenze, ItalyDepartment of Industrial Engineering (DIEF), University of Florence, 50139 Firenze, ItalySimple analytical models can be employed to estimate the leakage mass flow rate from labyrinth seals, resulting in a quick procedure, well suited for the early design process. Different formulas were proposed by many authors during the past decades and most of them employ a carry-over factor and a flow coefficient to predict the mass flow rate across the clearance area. The present work aims to compare the analytical prediction with the results of an experimental campaign. The experimental results were retrieved from a dedicated test rig for both a straight-through and a stepped labyrinth seal. Hence, for each seal, the effect of the clearance size, the Reynolds number and the pressure ratio has been investigated. Starting from the experimental required inputs, six different correlations are considered, with both direct and indirect methods. The results are shown as a function of pressure ratio and clearance gap. Despite some differences in the comparison, and most of the used correlation underestimate the measured mass flow rate, some general trends and guidelines can be highlighted.https://www.mdpi.com/2076-3417/13/12/6863labyrinth sealsanalytical methodsexperimentalleakagesecondary flowscorrelation
spellingShingle Niccolò Castelli
Tommaso Bacci
Alessio Picchi
Lorenzo Winchler
Bruno Facchini
Experimental Assessment of Correlative Approaches for the Prediction of Leakage Flow through Labyrinth Seals
Applied Sciences
labyrinth seals
analytical methods
experimental
leakage
secondary flows
correlation
title Experimental Assessment of Correlative Approaches for the Prediction of Leakage Flow through Labyrinth Seals
title_full Experimental Assessment of Correlative Approaches for the Prediction of Leakage Flow through Labyrinth Seals
title_fullStr Experimental Assessment of Correlative Approaches for the Prediction of Leakage Flow through Labyrinth Seals
title_full_unstemmed Experimental Assessment of Correlative Approaches for the Prediction of Leakage Flow through Labyrinth Seals
title_short Experimental Assessment of Correlative Approaches for the Prediction of Leakage Flow through Labyrinth Seals
title_sort experimental assessment of correlative approaches for the prediction of leakage flow through labyrinth seals
topic labyrinth seals
analytical methods
experimental
leakage
secondary flows
correlation
url https://www.mdpi.com/2076-3417/13/12/6863
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