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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
Reviews | p. XI |
Foreword | p. XVII |
I.1 About this Book | p. XVII |
I.2 Methods Used in this Book | p. XVII |
I.3 Research Application | p. XVIII |
I.4 Acknowledgments | p. XVIII |
I.5 Briefly Introduction of Software: FASTFLO | p. XIX |
I.6 References | p. XX |
I.7 List of Publications Related to this Book | p. XX |
I.8 Nomenclature | p. XXI |
Chapter 1 Study on the Propagation of Inlet Flow Distortion in Axial Compressor Using an Integral Method | p. 1 |
1.1 Introduction | p. 1 |
1.2 Theoretical Formulation | p. 3 |
1.2.1 Velocity and Pressure | p. 4 |
1.2.2 Forces | p. 5 |
1.2.3 Distorted Region | p. 7 |
1.2.4 Undistorted Region | p. 8 |
1.2.5 Entire Region | p. 9 |
1.2.6 Integral Equations | p. 10 |
1.3 Numerical Method | p. 11 |
1.3.1 Equations | p. 11 |
1.3.2 4th-order Runge-Kutta Equations | p. 11 |
1.4 Results and Discussion | p. 13 |
1.4.1 Previous Results | p. 13 |
1.4.2 Further Asymptotic Behavior Results | p. 17 |
1.4.3 Mass Flow Rate | p. 20 |
1.4.4 Critical Distortion Line | p. 22 |
1.4.5 Compressor Performance and Characteristic | p. 23 |
1.5 Concluding Remarks | p. 26 |
References | p. 26 |
Appendix 1.A Fortran Program: Integral Method | p. 28 |
Appendix 1.B Fortran Program: Critical Distortion Line | p. 35 |
Chapter 2 Stall Prediction of In-flight Compressor due to Flamming of Refueling Leakage near Inlet | p. 41 |
2.1 Introduction | p. 41 |
2.2 Inlet Flow Condition | p. 42 |
2.3 Computational Domain | p. 43 |
2.4 Application of Critical Distortion Line | p. 45 |
2.5 Application of Integral Method | p. 46 |
2.6 Compressor Characteristics | p. 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 Remarks | p. 55 |
References | p. 56 |
Chapter 3 Parametric Study of Inlet Distortion Propagation in Compressor with Integral Approach and Taguchi Method | p. 57 |
3.1 Introduction | p. 57 |
3.2 Methodology | p. 59 |
3.3 Results and Analysis | p. 60 |
3.3.1 Case study 1: Drag-to-lift Ratio, K, is Varied | p. 64 |
3.3.2 Case study 2: X-axis Inlet Distorted Velocity Coefficient, [alpha](0), is Varied | p. 68 |
3.3.3 Case Study 3: Inlet Flow Angle, [theta subscript 0], is Varied | p. 72 |
3.4 Conclusion | p. 74 |
References | p. 75 |
Chapter 4 A Development of Novel Integral Method for Prediction of Distorted Inlet Flow Propagation in Axial Compressor | p. 77 |
4.1 Introduction | p. 77 |
4.2 Theoretical Formulation | p. 79 |
4.3 Results and Discussion | p. 86 |
4.3.1 Lift and Drag Coefficients | p. 86 |
4.3.2 Inlet Distorted Velocity Coefficient | p. 87 |
4.3.3 Inlet Incident Angle | p. 88 |
4.3.4 Propagation of Distortion Level | p. 91 |
4.3.5 Compressor Characteristics | p. 96 |
4.3.6 Argument for Airfoil Characteristics | p. 99 |
4.4 Concluding Remarks | p. 99 |
References | p. 100 |
Appendix 4.A Fortran Program: Chebyshev Curve Fitting | p. 101 |
Chapter 5 Parametric Study of Greitzer's Instability Flow Model Through Compressor System Using Taguchi Method | p. 107 |
5.1 Introduction | p. 107 |
5.2 Mathematical Model | p. 108 |
5.3 Numerical Methods | p. 110 |
5.4 Results and Discussion | p. 114 |
5.4.1 Analysis for Case 1: with Parameters B, G and K | p. 115 |
5.4.2 Analysis for Case 2: with Parameters B, G and LC | p. 118 |
5.4.3 Summary: Parameters B, G, K and LC | p. 120 |
5.5 Conclusion | p. 121 |
References | p. 121 |
Appendix A Programing: Greitzer's Model | p. 123 |
Index | p. 131 |