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1 Evaluating the Effect on Component Cooling and Thermally Generated Stress caused by Variation of Internal Heat Transfer Coefficients through an Uncertainty Quantification Jan Marsh 1 , and Jayanta S. Kapat 2 Laboratory for Aerodynamics, Heat Transfer, and Durability Center for Advanced Turbine and Energy Research University of Central Florida, Orlando, FL USA Through the use of probabilistic design a process is developed to simulate variation of internal heat transfer coefficient. It is then applied to a non-rotating blade component, internally cooled through mutli-pass serpentine channels. While keeping the external parameters constant the internal heat transfer coefficient variation is then simulated in regions of high uncertainty, such as tip and hub turns, and the effect on the thermally generated stress of the airfoil is evaluated using ANSYS. Through a change in heat transfer coefficients the fluid temperatures will also vary, which is captured in the integrated fluid dynamics model. Although other cooling features such as film cooling, as well as any impingement flow is not considered in this study, the effects on the fluid dynamics model are incorporated through advection and fluid elements. Nomenclature d с ƚĞŵƉĞƌĂƚƵƌĞ W с ƉƌĞƐƐƵƌĞ h с ǀĞůŽĐŝƚLJ с ĐŽŽůĂŶƚ ƉŝƉĞ ĚŝĂŵĞƚĞƌ > с ĐŽŽůĂŶƚ ƉŝƉĞ ůĞŶŐƚŚ Ɖ с ƉŝƚĐŚ ;ĚŝƐƚĂŶĐĞ ďĞƚǁĞĞŶ Ϯ ŶĞŝŐŚďŽƌŝŶŐ Ĩŝůŵ ŚŽůĞƐͿ Ğ с ƌŝď ŚĞŝŐŚƚ , с ĐŚĂŶŶĞů ŚĞŝŐŚƚ ϭ 'ƌĂĚƵĂƚĞ ^ƚƵĚĞŶƚ ĞƉĂƌƚŵĞŶƚ ŽĨ DĞĐŚĂŶŝĐĂů DĂƚĞƌŝĂůƐ ĂŶĚ ĞƌŽƐƉĂĐĞ ŶŐŝŶĞĞƌŝŶŐ ůĚŐ ϰϬ ZŽŽŵ ϯϬϳ h& Ϯ WƌŽĨĞƐƐŽƌ DĂƚĞƌŝĂů DĞĐŚĂŶŝĐĂů ĂŶĚ ĞƌŽƐƉĂĐĞ ŶŐŝŶĞĞƌŝŶŐ ĞƉĂƌƚŵĞŶƚ ƵŝůĚŝŶŐ ϰϬ ZŽŽŵ ϰϬϳ h& 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition 4 - 7 January 2011, Orlando, Florida AIAA 2011-629 Copyright © 2011 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.
Transcript

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Evaluating the Effect on Component Cooling and Thermally Generated Stress caused by Variation of Internal Heat

Transfer Coefficients through an Uncertainty Quantification

Jan Marsh1, and Jayanta S. Kapat2

Laboratory for Aerodynamics, Heat Transfer, and Durability Center for Advanced Turbine and Energy Research

University of Central Florida, Orlando, FL USA

Through the use of probabilistic design a process is developed to simulate variation of internal heat transfer coefficient. It is then applied to a non-rotating blade component, internally cooled through mutli-pass serpentine channels. While keeping the external parameters constant the internal heat transfer coefficient variation is then simulated in regions of high uncertainty, such as tip and hub turns, and the effect on the thermally generated stress of the airfoil is evaluated using ANSYS. Through a change in heat transfer coefficients the fluid temperatures will also vary, which is captured in the integrated fluid dynamics model. Although other cooling features such as film cooling, as well as any impingement flow is not considered in this study, the effects on the fluid dynamics model are incorporated through advection and fluid elements.

Nomenclature

49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition4 - 7 January 2011, Orlando, Florida

AIAA 2011-629

Copyright © 2011 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.

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I. Introduction

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II. Problem Formulation and Methodology

A. Component Selection and Model Creation

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B. Variation Propagation and Probabilistic Modeling

C. Mesh Creation

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1. Internal (Fluid) Mesh Creation:

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2. Boundary Conditions Application:

3. Mesh Sensitivity:

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III. Results and Discussions

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Acknowledgments

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References

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