Aerothermodynamics of Turbomachinery – Direct and Inverse Solutions Flow Phenomena Investigation and Design Optimization ANALYSIS AND DESIGN

Computational Fluid Dynamics (CFD) is now an essential and effective tool used in the design of all types of turbomachine, and this topic constitutes the main theme of this book. With over 50 years of experience in the field of aerodynamics, Professor Naixing Chen has developed a wide range of numerical methods covering almost the entire spectrum of turbomachinery applications. Moreover, he has also made significant contributions to practical experiments and real-life designs.

The book focuses on rigorous mathematical derivation of the equations governing flow and detailed descriptions of the numerical methods used to solve the equations. Numerous applications of the methods to different types of turbomachine are given and, in many cases, the numerical results are compared to experimental measurements. These comparisons illustrate the strengths and weaknesses of the methods - a useful guide for readers. Lessons for the design of improved blading are also indicated after many applications.
* Presents real-world perspective to the past, present and future concern in turbomachinery
* Covers direct and inverse solutions with theoretical and practical aspects
* Demonstrates huge application background in China
* Supplementary instructional materials are available on the companion website

Aerothermodynamics of Turbomachinery: Analysis and Design is ideal for senior undergraduates and graduates studying in the fields of mechanics, energy and power, and aerospace engineering; design engineers in the business of manufacturing compressors, steam and gas turbines; and research engineers and scientists working in the areas of fluid mechanics, aerodynamics, and heat transfer.

Supplementary lecture materials for instructors are available at www.wiley.com/go/chenturbo

FOREWORD. PREFACE. CONTENTS. NOMENCLATURE. CHAPTER 1. INTRODUCTION. 1.1 Introduction to the Study on Aerothermodynamics of Turbomachinery. 1.2 Brief Description of the Development of the Numerical Study on Aerothermodynamics of Turbomachinery. 1.3 Brief Summary. CHAPTER 2. GOVERNING EQUATIONS EXPRESSED BY NON- ORTHOGANAL CURVILINEAR COORDINATES TO CALCULATE 3D VISCOUS FLUID FLOW IN TURBOMACHINERY. 2.1 Introduction. 2.2 Aerothermodynamics Governing Equations (Navier-Stokes Equations) of Turbomachinery. 2.3 Viscous and Heat transfer Terms of Equations. 2.4 Examples of Simplification of Viscous and Heat Transfer Terms. 2.5 Tensor Form of Governing Equations. 2.6 Integral Form of Governing Equations. 2.7 A Collection of the Basic Relationships for Non-Orthogonal Coordinates. 2.8 Brief Summary. CHAPTER 3. INTRODUCTION TO BOUNDARY LAYER THEORY. 3.1 Introduction. 3.2 General Concepts of Boundary Layer. 3.3 Brief Summary. CHAPER 4. NUMERICAL SOLUTIONS OF BOUNDARY LAYER DIFFERENTIAL EQUATIONS. 4.1 Introduction. 4.2 Boundary Layer Equations Expressed in Partial Differential Form. 4.3 Numerical Solution of the Boundary Layer Differential Equations for Cascade on the Stream Surface of Revolution. 4.4 Calculation Results and Validations. 4.5 Application to Analyze Performance of Turbomachinery Blade Cascades. 4.6 Brief Summary. CHAPTER 5. APPROXIMATE CALCULATIONS USING INTEGRAL BOUNDARY LAYER EQUATIONS. 5.1 Introduction. 5.2 Boundary Layer Integral Equations. 5.3 Generalized Method for Approximate Calculation of Boundary Layer Momentum Thickness. 5.4 Laminar Boundary Layer Momentum Integral Equation. 5.5 Transitional Boundary Layer Momentum Integral Equation. 5.6 Turbulent Boundary Layer Momentum Integral Equation. 5.7 Calculation of Compressible Boundary Layer. 5.8 Brief Summary. CHAPTER 6. APPLICATION OF BOUNDARY LAYER TECHNIQUES TO TURBOMACHINERY. 6.1 Introduction. 6.2 Flow Rate Coefficient and Loss Coefficient of Two-Dimensional Blade Cascades. 6.3 Studies on the Velocity Distributions along Blade Surfaces and Correlation Analysis of Aerodynamic Characteristics of Plane Blade Cascades. 6.4 Brief Summary. CHAPTER 7. STREAM-FUNCTION METHODS FOR TWO- AND THREE-DIMENSIONAL FLOW COMPUTATIONS INTURBOMACHINERY. 7.1 Introduction. 7.2 Three-dimensional Flow Solution Methods with Two Kinds of Stream Surfaces. 7.3 Two-Stream-Function Method for Three-Dimensional Flow Solution. 7.4 Stream-Function Methods for Two-Dimensional Viscous fluid Flow Computations. 7.5 Stream-Function Method for Numerical Solution of Transonic Blade Cascade Flow on the Stream Surface of Revolution. 7.6 Finite Analytic Numerical Solution Method (FASM) for Solving Stream Function Equation of Blade Cascade Flow. 7.7 Brief Summary. 7.8 Appendix: Formulas for Estimating the Coefficients of the Differential Equations of 3D Two-Stream-Function Method. CHAPTER 8. PRESSURE CORRECTION METHOD FOR TWO-DIMENSIONAL AND THREE-DIMENSIONAL FLOW COMPUTATIONS IN TURBOMACHINERY. 8.1 Introduction. 8.2 Governing Equations of Three-dimensional Turbulent Flow and Pressure Correction Solution Method. 8.3 Two-Dimensional Turbulent Flow Calculation Examples. 8.4 Three-Dimensional Turbulent Flow Calculation Examples. 8.5 Brief Summary. CHAPTER 9. TIME-MARCHING METHOD FOR TWO-DIMENSIONAL AND THREE-DIMENSIONAL FLOW COMPUTATIONS IN TURBOMACHINERY. 9.1 Introduction. 9.2 Governing Equations of Three-Dimensional Viscous Flow in Turbomachinery. 9.3 Solution Method Based on Multi-Stage Runge-Kutta Time-Marching Scheme. 9.4 Two-Dimensional Turbulent Flow Examples Calculated by Multi-Stage Runge-Kutta Time Marching Method. 9.5 Three-Dimensional Flow Examples Calculated by Multi-Stage Runge-Kutta Time Marching Method. 9.6 Brief Summary. CHAPTER 10. NUMERICAL STUDY ON AERODYNAMIC DESIGN OF CIRCUMFERENTIAL- AND AXIAL-LEANED AND BOWED TURBINE BLADES. 10.1 Introduction. 10.2 Circumferential Blade-Bowing Study. 10.3 Axial Blade-Bowing Study. 10.4 Circumferential Blade-Bowing Study of Turbine Nozzle Blade Row with Low Span-Diameter Ratio. 10.5 Brief Summary. CHAPTER 11. NUMERICAL STUDY ON THREE-DIMENSIONAL FLOW AERODYNAMICS AND SECONDARY VORTEX MOTIONS IN TURBOMACHINERY. 11.1 Introduction. 11.2 Post-Processing Algorithms. 11.3 Axial Turbine Secondary Vortices. 11.4 Some Features of Straight-Leaned Blade Aerodynamics of a Low Span-Diameter-Ratio Turbine Nozzle. 11.5 Numerical Study on Three-Dimensional Flow Pattern and Vortex Motions in a Centrifugal Compressor Impeller. 11.6 Brief summary. CHAPTER 12. TWO-DIMENSIONAL AERODYNAMIC INVERSE PROBLEM SOLUTION STUDY IN TURBOMACHINERY. 12.1 Introduction. 12.2 Stream Function Method. 12.3 A Hybrid Problem Solution Method Using Stream Function Equation with Prescribed Target Velocity for the Blade Cascades of Revolution. 12.4 Stream-Function-Coordinate Method (SFC) for the Blade Cascades on the Surface of Revolution. 12.5 Stream-Function-Coordinate Method (SFC) with Target Circulation for the Blade Cascades on the Surface of Revolution. 12.6 Two-Dimensional Inverse Method by Using a Direct Solver with Residual Correction Technique. 12.7 Brief Summary. 13 THREE-DIMENSIONAL AERODYNAMIC INVERSE PROBLEM SOLUTION STUDY IN TURBOMACHINERY. 13.1 Introduction. 13.2 Two-Stream-Function-Coordinate-Equation Inverse Method. 13.3 Three-Dimensional Potential Function Hybrid Solution Method. 13.4 Brief Summary. 14 AERODYNAMIC DESIGN OPTIMIZATION OF COMPRESSOR AND TURBINE BLADES. 14.1 Introduction. 14.2 Parameterization Method. 14.3 Response Surface Method (RSM) for Blade Optimization. 14.4 A Study on the Effect of Maximum Camber Location for a Transonic Fan Rotor Blading by GPAM. 14.5 Optimization of a Low Aspect Ratio Turbine by GPAM and Study on the Geometry Effects on Aerodynamics Performance. 14.6 Blade Parameterization and Aerodynamic Design Optimization for 3D Transonic Compressor Rotor. 14.7 Brief Summary. REFERENCE. INDEX.