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research-article

ENGINE-SCALABLE ROTOR CASING CONVECTIVE HEAT FLUX EVALUATION USING INVERSE HEAT TRANSFER METHODS

[+] Author and Article Information
David Gonzalez Cuadrado

School of Mechanical Engineering, Purdue University
david.gonzalez.cuadrado@gmail.com

Francisco Lozano

School of Mechanical Engineering, Purdue University
flozanov@purdue.edu

Valeria Andreoli

School of Mechanical Engineering, Purdue University
vale.andreoli@gmail.com

Guillermo Paniagua

School of Mechanical Engineering, Purdue University
gpaniagua@me.com

1Corresponding author.

ASME doi:10.1115/1.4040713 History: Received June 23, 2018; Revised June 27, 2018

Abstract

In this paper, we propose a two-step methodology to evaluate the convective heat flux along the rotor casing using an engine-scalable approach based on Discrete Green's Functions. The first step consists in the use of an inverse heat transfer technique to retrieve the heat flux distribution on the shroud inner wall by measuring the temperature of the outside wall; the second step is the calculation of the convective heat flux at engine conditions, using the experimental heat flux and the Green Functions engine-scalable technique. Inverse methodologies allow the determination of boundary conditions, in this case the inner casing surface heat flux, based on measurements from outside of the system, which prevents aerothermal distortion caused by routing the instrumentation into the test article. The heat flux, retrieved from the inverse heat transfer methodology, is related to the rotor tip gap. Therefore, for a given geometry and tip gap, the pressure and temperature can also be retrieved. In this work, the Digital Filter Method is applied in order to take advantage of the response of the temperature to heat flux pulses. The Discrete Green's Function approach employs a matrix to relate an arbitrary temperature distribution to a series of pulses of heat flux. In the present procedure, the terms of the Green's Function matrix are evaluated with the output of the inverse heat transfer method. Given that key dimensionless numbers are conserved, the Green's Functions matrix can be extrapolated to engine-like conditions.

Copyright (c) 2018 by ASME
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