Next Article in Journal
A Dual Mode Propulsion System for Small Satellite Applications
Next Article in Special Issue
Effects of the Back Plate Inner Diameter on the Frictional Heat Input and General Performance of Brush Seals
Previous Article in Journal
Single-Sensor Acoustic Emission Source Localization in Plate-Like Structures Using Deep Learning
Previous Article in Special Issue
Buoyancy-Induced Heat Transfer inside Compressor Rotors: Overview of Theoretical Models
Article Menu
Issue 2 (June) cover image

Export Article

Open AccessArticle
Aerospace 2018, 5(2), 51; https://doi.org/10.3390/aerospace5020051

Prediction of Heat Transfer in a Jet Cooled Aircraft Engine Compressor Cone Based on Statistical Methods

Karlsruhe Institute of Technology (KIT), Institut für Thermische Strömungsmaschinen (ITS), 76131 Karlsruhe, Germany
*
Author to whom correspondence should be addressed.
Received: 17 February 2018 / Revised: 12 April 2018 / Accepted: 16 April 2018 / Published: 1 May 2018
(This article belongs to the Special Issue Secondary Air Systems in Gas Turbine Engines)
Full-Text   |   PDF [34725 KB, uploaded 3 May 2018]   |  

Abstract

The paper presents the setup and analysis of an experimental study on heat transfer of a jet cooled compressor rear cone with adjacent conical housing. The main goal of the paper is to describe the systematic derivation of empirical correlations for global Nusselt numbers to be used in the design process of a jet engine secondary air system. Based on the relevant similarity parameters obtained from literature, operating points are deduced leading to a full factorial design experiment to identify all effects and interactions. The varied similarity parameters are the circumferential Reynolds number, the non-dimensional mass flow, the non-dimensional spacing between rotor and stator, and the jet incidence angle. The range of the varied similarity parameters covers engine oriented operating conditions and is therefore suitable to predict Nusselt numbers in the actual engine component. In order to estimate measurement uncertainties, a simplified model of the test specimen, consisting of a convectively cooled flat plate, has been derived. Uncertainties of the measured quantities and derived properties are discussed by means of a linear propagation of uncertainties. A sensitivity study shows the effects of the input parameters and their interactions on the global Nusselt number. Subsequently, an empirical correlation for the global Nusselt numbers is derived using a multivariate non-linear regression. The quality of the empirical correlation is assessed by means of statistical hypotheses and by a comparison between measured and predicted data. The predicted values show excellent agreement with experimental data. In a wide range, accuracies of 15% can be reached when predicting global Nusselt numbers. Furthermore, the results of the sensitivity study show that pre-swirled cooling air does not have a positive effect on heat transfer. View Full-Text
Keywords: jet engines; rotor-stator systems; heat transfer; nusselt number correlation; multivariate regression; statistical modeling jet engines; rotor-stator systems; heat transfer; nusselt number correlation; multivariate regression; statistical modeling
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Bleier, F.; Schwitzke, C.; Bauer, H.-J. Prediction of Heat Transfer in a Jet Cooled Aircraft Engine Compressor Cone Based on Statistical Methods. Aerospace 2018, 5, 51.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Aerospace EISSN 2226-4310 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top