Cover image for Compressor instability with integral methods
Title:
Compressor instability with integral methods
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Publication Information:
Berlin : Springer, 2007
Physical Description:
xxiv, 133 p. : ill. ; 24 cm.
ISBN:
9783540724117

9783540724124
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Available in online version
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Compressor Instability [electronic resource]
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30000010179756 TJ990 N49 2007 Open Access Book Book
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Summary

Summary

"Compressor Instability with Integral Methods" is a book, to bring together the quick integral approaches and advances in the field for the prediction of stall and surge problem in compressor. This book is useful for people involved in the flow analysis, design and testing of rotating machinery. For students, it can be used as a specialized topic of senior undergraduate or graduate study. The book can also be served as a self-study material to those who keen to acquire this knowledge.

In brief, this book focuses on the numerical/computational analysis for the effect of distorted inlet flow propagation on the rotating stall and surge in axial compressors. It gains insight into the basic phenomena controlling these flow instabilities, and reveals the influence of inlet parameters on rotating stall and surge. The book starts from the confirmation and application of Kim et al's integral method and then follows by a development to this method through the proposing and applying a critical distortion line. This line is applied successfully on the stall prediction of in-flight compressor due to flamming of refueling leakage near inlet, a typical real and interesting example of compressor stall and surge operation. Further, after a parametric study on the integral method and the distorted flow field of compressor using Taguchi method, a novel integral method is formulated using more appropriate and practical airfoil characteristics, with a less assumptions needed for derivation. Finally, as an extended work, the famous Greitzer's instability flow model, the well-known B-parameter model applied for analyzing the stall and surge characteristics, is studied parametrically using Taguchi method.


Table of Contents

Reviewsp. XI
Forewordp. XVII
I.1 About this Bookp. XVII
I.2 Methods Used in this Bookp. XVII
I.3 Research Applicationp. XVIII
I.4 Acknowledgmentsp. XVIII
I.5 Briefly Introduction of Software: FASTFLOp. XIX
I.6 Referencesp. XX
I.7 List of Publications Related to this Bookp. XX
I.8 Nomenclaturep. XXI
Chapter 1 Study on the Propagation of Inlet Flow Distortion in Axial Compressor Using an Integral Methodp. 1
1.1 Introductionp. 1
1.2 Theoretical Formulationp. 3
1.2.1 Velocity and Pressurep. 4
1.2.2 Forcesp. 5
1.2.3 Distorted Regionp. 7
1.2.4 Undistorted Regionp. 8
1.2.5 Entire Regionp. 9
1.2.6 Integral Equationsp. 10
1.3 Numerical Methodp. 11
1.3.1 Equationsp. 11
1.3.2 4th-order Runge-Kutta Equationsp. 11
1.4 Results and Discussionp. 13
1.4.1 Previous Resultsp. 13
1.4.2 Further Asymptotic Behavior Resultsp. 17
1.4.3 Mass Flow Ratep. 20
1.4.4 Critical Distortion Linep. 22
1.4.5 Compressor Performance and Characteristicp. 23
1.5 Concluding Remarksp. 26
Referencesp. 26
Appendix 1.A Fortran Program: Integral Methodp. 28
Appendix 1.B Fortran Program: Critical Distortion Linep. 35
Chapter 2 Stall Prediction of In-flight Compressor due to Flamming of Refueling Leakage near Inletp. 41
2.1 Introductionp. 41
2.2 Inlet Flow Conditionp. 42
2.3 Computational Domainp. 43
2.4 Application of Critical Distortion Linep. 45
2.5 Application of Integral Methodp. 46
2.6 Compressor Characteristicsp. 50
2.6.1 Effects of Rotor Blade Speed ([sigma])p. 52
2.6.2 Effects of Inlet Distorted Region Size ([xi](0))p. 53
2.7 Concluding Remarksp. 55
Referencesp. 56
Chapter 3 Parametric Study of Inlet Distortion Propagation in Compressor with Integral Approach and Taguchi Methodp. 57
3.1 Introductionp. 57
3.2 Methodologyp. 59
3.3 Results and Analysisp. 60
3.3.1 Case study 1: Drag-to-lift Ratio, K, is Variedp. 64
3.3.2 Case study 2: X-axis Inlet Distorted Velocity Coefficient, [alpha](0), is Variedp. 68
3.3.3 Case Study 3: Inlet Flow Angle, [theta subscript 0], is Variedp. 72
3.4 Conclusionp. 74
Referencesp. 75
Chapter 4 A Development of Novel Integral Method for Prediction of Distorted Inlet Flow Propagation in Axial Compressorp. 77
4.1 Introductionp. 77
4.2 Theoretical Formulationp. 79
4.3 Results and Discussionp. 86
4.3.1 Lift and Drag Coefficientsp. 86
4.3.2 Inlet Distorted Velocity Coefficientp. 87
4.3.3 Inlet Incident Anglep. 88
4.3.4 Propagation of Distortion Levelp. 91
4.3.5 Compressor Characteristicsp. 96
4.3.6 Argument for Airfoil Characteristicsp. 99
4.4 Concluding Remarksp. 99
Referencesp. 100
Appendix 4.A Fortran Program: Chebyshev Curve Fittingp. 101
Chapter 5 Parametric Study of Greitzer's Instability Flow Model Through Compressor System Using Taguchi Methodp. 107
5.1 Introductionp. 107
5.2 Mathematical Modelp. 108
5.3 Numerical Methodsp. 110
5.4 Results and Discussionp. 114
5.4.1 Analysis for Case 1: with Parameters B, G and Kp. 115
5.4.2 Analysis for Case 2: with Parameters B, G and LCp. 118
5.4.3 Summary: Parameters B, G, K and LCp. 120
5.5 Conclusionp. 121
Referencesp. 121
Appendix A Programing: Greitzer's Modelp. 123
Indexp. 131