The heat fluxes across the turbine tip gap are characterized by large unsteady pressure gradients and shear from the viscous effects. The classical Newton heat convection equation, based on the turbine inlet total temperature, is inadequate. Previous research from our team relied on the use of the adiabatic wall temperature. In this paper, we propose an alternative approach to predict the convective heat transfer problem across the turbine rotor tip using discrete Green's functions (DGF). The linearity of the energy equation in the solid domain with constant thermal properties can be applied with a superposition technique to measure the data extracted from flow simulations to determine the Green's function distribution. The DGF is a matrix of coefficients that relate the temperature spatial (GF) distribution with the heat flux. This methodology is first applied to a backward facing step, validated using experimental data. The final aim of this paper is to demonstrate the method in the rotor turbine tip. A turbine stage at engine-like conditions was assessed using cfd software. The heat flux pulses were applied at different locations in the rotor tip geometry, and the increment of temperature in this zone was evaluated for different clearances, with a consequent variation of the DGF coefficients. Ultimately, a detailed uncertainty analysis of the methodology was included based on the magnitude of the heat flux pulses used in the DGF coefficients calculation and the uncertainty in the experimental measurements of the wall temperature.
Skip Nav Destination
Article navigation
Research-Article
Prediction of the Turbine Tip Convective Heat Flux Using Discrete Green's Functions
Valeria Andreoli,
Valeria Andreoli
School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: vale.andreoli@gmail.com
Purdue University,
West Lafayette, IN 47907
e-mail: vale.andreoli@gmail.com
Search for other works by this author on:
David G. Cuadrado,
David G. Cuadrado
School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: david.gonzalez.cuadrado@gmail.com
Purdue University,
West Lafayette, IN 47907
e-mail: david.gonzalez.cuadrado@gmail.com
Search for other works by this author on:
Guillermo Paniagua
Guillermo Paniagua
Search for other works by this author on:
Valeria Andreoli
School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: vale.andreoli@gmail.com
Purdue University,
West Lafayette, IN 47907
e-mail: vale.andreoli@gmail.com
David G. Cuadrado
School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907
e-mail: david.gonzalez.cuadrado@gmail.com
Purdue University,
West Lafayette, IN 47907
e-mail: david.gonzalez.cuadrado@gmail.com
Guillermo Paniagua
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received July 18, 2017; final manuscript received November 30, 2017; published online March 30, 2018. Assoc. Editor: Alan McGaughey.
J. Heat Transfer. Jul 2018, 140(7): 071703 (11 pages)
Published Online: March 30, 2018
Article history
Received:
July 18, 2017
Revised:
November 30, 2017
Citation
Andreoli, V., Cuadrado, D. G., and Paniagua, G. (March 30, 2018). "Prediction of the Turbine Tip Convective Heat Flux Using Discrete Green's Functions." ASME. J. Heat Transfer. July 2018; 140(7): 071703. https://doi.org/10.1115/1.4039182
Download citation file:
Get Email Alerts
Cited By
Entropic Analysis of the Maximum Output Power of Thermoradiative Cells
J. Heat Mass Transfer
Molecular Dynamics Simulations in Nanoscale Heat Transfer: A Mini Review
J. Heat Mass Transfer
Related Articles
Uneven Wall Temperature Effect on Local Heat Transfer in a Rotating Two-Pass Square Channel With Smooth Walls
J. Heat Transfer (November,1993)
Tip Clearance Effects on Inlet Hot Streak Migration Characteristics in High Pressure Stage of a Vaneless Counter-Rotating Turbine
J. Turbomach (January,2010)
Analysis of the Heat Transfer Driving Parameters in Tight Rotor Blade Tip Clearances
J. Heat Transfer (January,2016)
The Effects of Blade Passing on the Heat Transfer Coefficient of the Overtip Casing in a Transonic Turbine Stage
J. Turbomach (October,2008)
Related Chapters
Introduction
Turbine Aerodynamics: Axial-Flow and Radial-Flow Turbine Design and Analysis
Outlook
Closed-Cycle Gas Turbines: Operating Experience and Future Potential
Control and Operational Performance
Closed-Cycle Gas Turbines: Operating Experience and Future Potential