Stabilitiy and Transition, w. CD-ROM : Theoriy and Applications. Efficient Numerical Methods with Computer Programs (2004. XI, 259 p. w. 130 figs.)

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Stabilitiy and Transition, w. CD-ROM : Theoriy and Applications. Efficient Numerical Methods with Computer Programs (2004. XI, 259 p. w. 130 figs.)

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  • SPRINGER, BERLIN; HORIZONS PUBL.(2004発売)
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  • 製本 Hardcover:ハードカバー版/ページ数 259 p., with CD-ROM
  • 商品コード 9783540201601

Description


(Text)
The first three chapters summarize physical knowledge of the transition process, consider the stability equations and methods for predicting transition by linear stability theory, and describe efficient and accurate numerical methods for the solution of stability equations. Chapters 4 to 7 describe computer programs based on stability-theory approach to identify the location of transition in two- and three-dimensional incompressible and compressible flows, respectively, and Chapter 7 describes a computer program within the framework of parabolized stability equations.

(Table of content)
Introduction.- Stability-Transition Theory.- Numerical Method.- Stability Transition Program for Two-Dimensional Incompressible Flows.- An Interactive Boundary-Layer and Stability-Transition Program for Two-Dimensional Flows.- Stability-Transition Program for Three-Dimensional Incompressible Flows.- A Stability-Transition Program for Three-Dimensional Compressible Flows on Wings.- Transition Prediction by Parabolized Stability Equations.- Appendices.

(Review)
From the reviews:

"The book at hand addresses engineering calculation methods of predicting the onset of transition, the numerical implementation of these methods, and their application in typical flow situations. The focus is on transition of wall boundary layers. ...... The book is recommended to engineers and numerical analysts working in the field of fluid mechanics." (Michael Niggemann, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 86 (12), 2006)

"The main topic of this book is the e n - method for the prediction of the onset of transition from laminar to turbulent flow in wall boundary layers. ... In summary, the topic of this book is very specialized, and it will be useful ... for experts in the e n - method or for students studying this method." (John Volker, Mathematical Reviews, Issue 2005 g)

Table of Contents

    Introduction                                   1  (16)
Transition Process 2 (3)
Prediction of Transition 5 (2)
Empirical Correlations 5 (1)
Michel's Method 5 (1)
Granville's Method 5 (1)
H-Rx Method 6 (1)
Factors that Influence Transition 7 (10)
Effects of Freestream Turbulence and 7 (1)
Noise
Effects of Pressure Gradient 8 (1)
Effects of Heat Transfer 9 (1)
Effects of Surface Roughness 10 (1)
Effects of Suction 11 (1)
Effects of Surface Curvature 12 (1)
References 13 (4)
Stability-Transition Theory 17 (26)
Introduction 17 (1)
Underlying Mathematical Arguments for 17 (2)
e72-Method
Linear Stability Equations 19 (13)
Orr-Sommerfeld Equation 27 (2)
Properties of the Orr-Sommerfeld 29 (3)
Equation for Two-Dimensional Flows
en-Method for Two-Dimensional Flows 32 (2)
en-Method for Three-Dimensional Flows 34 (9)
Eigenvalue Formulations 34 (3)
The Zarf 37 (3)
References 40 (3)
Numerical Method 43 (18)
Introduction 43 (1)
Numerical Solution of the Orr-Sommerfeld 44 (7)
Equation for Two-Dimensional Flows
Eigenvalue Procedure for Stability 46 (5)
Diagrams
Eigenvalue Procedure for Transition 51 (1)
Numerical Solution of the Orr-Sommerfeld 51 (2)
Equation for Three-Dimensional Flows:
Mack/Arnal Eigenvalue Formulation
Numerical Solution of the Orr-Sommerfeld 53 (8)
Equation for Three-Dimensional Flows:
Cebeci-Stewartson Eigenvalue Formulation
Eigenvalue Procedure for Zarf 54 (2)
Eigenvalue Procedure for Transition 56 (1)
Estimation of Eigenvalues 57 (1)
Appendix 3A 58 (1)
References 58 (3)
Stability Transition Program for 61 (24)
Two-Dimensional Incompressible Flows
Introduction 61 (1)
Description of the Computer Program STP 61 (3)
Main 62 (1)
Subroutine VELPRO 63 (1)
Subroutine CSAVE 63 (1)
Subroutine- Newton 64 (1)
Subroutine Newton 64 (1)
Stability Diagrams for Falkner-Skan Flows 64 (7)
Falkner-Skan Flows 64 (2)
Sample Calculations for Constructing 66 (1)
Stability Diagrams for Blasius Flow
Stability Diagrams for Falkner-Skan 67 (3)
Flows
Sample Calculations for Constructing 70 (1)
Stability Diagrams for Lower-Branch
Solutions of the Falkner-Skan Equation
Sample Calculations for Predicting 71 (2)
Transition
Flat-Plate Flow 71 (1)
Airfoil Flow 72 (1)
Description of the Computer Program STPW 73 (5)
Input to STPW 75 (2)
Sample Calculations 77 (1)
Appendix 4A Shooting Method 78 (7)
Description of the Method for F''w ≥ 78 (2)
0
Description of the Method for fw`` < 80 (1)
0
Computer Program 81 (3)
References 84 (1)
An Interactive Boundary-Layer and 85 (28)
Stability-Transition Program for
Two-Dimensional Flows
Introduction 85 (1)
Interactive Boundary-Layer Method 86 (12)
Turbulence Model 87 (2)
Numerical Method 89 (5)
Inviscid Method 94 (1)
Computer Program 95 (3)
Extension of the Interactive 98 (1)
Boundary-Layer and Stability-Transition
Approach to Multielement Airfoils
Airfoils at High Reynolds Numbers 99 (1)
Accuracy of the en-Method for Flows with 100(5)
Separation
Airfoils at Low Reynolds Numbers 105(2)
Multielement Airfoils 107(6)
References 110(3)
Stability-Transition Program for 113(36)
Three-Dimensional Incompressible Flows
Introduction 113(1)
Description of the Computer Program 3DSTP 113(6)
and Sample Calculations
Description of the Computer Program 113(1)
Sample Calculations 114(5)
Applications of 3DSTP 119(16)
ONERA-D Infinite Swept Wing 119(6)
Prolate Spheroid 125(10)
Prediction of Transition with Curvature 135(10)
Effect
Stability Equations with Curvature Terms 136(3)
Calculation of the Curvature Terms 139(1)
Effects of Sweep Angle and Reynolds 140(5)
Number on Transition with Curvature
Effect Included in the Stability
Equations
Computer Program 3DSTPWC and Sample 145(4)
Calculations
Description of Input 145(1)
Sample Calculations 146(1)
References 147(2)
A Stability-Transition Program for 149(36)
Three-Dimensional Compressible Flows on
Wings
Introduction 149(1)
Boundary-Layer Equations 150(1)
Initial Conditions 151(2)
Quasi-Three-Dimensional Boundary-Layer 152(1)
Equations
Attachment Line Equations 153(1)
Turbulence Model 153(1)
Interface Program 154(9)
Choice of the Surface Coordinate System 154(3)
Geometric Parameters of the Coordinate 157(2)
System
Calculation of Inviscid Velocity 159(1)
Components for Boundary-Layer Grid
Computer Program 160(2)
Sample Calculations 162(1)
Solution of the Boundary-Layer Equations 163(4)
Transformed Equations 163(3)
Numerical Method 166(1)
Solution of the Stability Equations for 167(1)
Compressible Flows
AS409 Infinite Swept Wing 167(11)
Experimental Data 168(2)
Calculations with the Mack-Arnal 170(5)
Formulation
Calculations with the Cebeci-Stewartson 175(3)
Formulation
Software for Calculating Transition in 178(7)
Incompressible and Compressible Flows on
Wings with and without Suction
Boundary Layer Program 179(1)
Calculation of Zarf 179(2)
Amplification Calculations 181(1)
Summary of Transition Calculations 182(1)
Calculation of the Lower Branch of the 182(1)
Zarf
Amplification Calculations for 183(1)
Disturbances from the Lower Branch
Amplification Calculations for 183(1)
Disturbances from the Upper Branch
References 184(1)
Transition Prediction by Parabolized 185(22)
Stability Equations
Introduction 185(1)
Parabolized Stability Equations 186(5)
Numerical Method 191(5)
Description of the Computer Program 196(2)
Subroutine Start 197(1)
Subroutine COEF 198(1)
Subroutine GETNA 198(1)
Solution Algorithm: Subroutines 198(1)
MATRIX6, GAUSS, USOLV, GAMSV
Sample Calculations with PSE 198(9)
References 205(2)
Appendix A Computer Programs in the CD-ROM 207(4)
Accompanying the Book
Shooting Method: For f''(0) ≥ 0 207(1)
Shooting Method: For f''(0) < 0 207(1)
2D Stability Transition Program (STP2D) 208(1)
Interactive Boundary-layer (IBL) Program 208(1)
Panel Method (HSPM), 2D Interface Program 208(1)
(IPRPM2D), Inverse Boundary-Layer Program
(INBLP) and STP2D
HSPM, IPRPM2D, Boundary-Layer Infinite 209(1)
Swept Wing (BLISW) Program and 3D
Stability-Transition Program (3DSTP)
Stability-Transition Program Based on 210(1)
Parabolized Stability Equations (PSE)
Cross-Flow Dominated Flows 210(1)
Flows in Which Tollmien-Schlichting 210(1)
(T-S) Waves Dominate
Appendix B Computer Programs in the CD-ROM 211(6)
Available from the Author
Boundary Layer and Stability-Transition 211(1)
Program for Air, Water and Sea (STPW)
Panel Method (HSPM), 2D Interface Program 212(1)
(IPRPM), Infinite Swept Wing
Boundary-Layer Program (BLISW) and 3D
Stability Transition Program with
Curvature Effects (3DSTPWC)
HSPM, IPRPM, BLISW, 3DSTPWC, Parabolized 213(4)
Stability Equations (PSE)
Cross-Flow Dominated Flows 213(1)
Flows in Which Tollmien-Schlichting 214(3)
(T-S) Instability Dominates
Appendix C Interactive Boundary-Layer Method 217(16)
for Single and Multielement Airfoils (MEIBL)
Application of MEIBL to Three-Dimensional 217(1)
Flows
Inviscid Flow 217(1)
Viscous Flow 218(1)
Interaction 218(1)
Coordinate Systems for Viscous and 218(1)
Inviscid Flow Calculations
User's Manual 219(9)
Input Data 219(6)
Output Data 225(3)
Sample Calculations 228(5)
Detailed Flow at α = 4° and 228(4)
α = 20°
Force and Moment Coefficient 232(1)
Calculations
References 232(1)
Appendix D Software for Calculating 233(26)
Transition in Three-Dimensional Compressible
Flows
Description of the Boundary Layer Program 234(4)
Input Data Description 234(2)
Output Data Description 236(2)
Description of the Transition Calculation 238(3)
Procedure
Zarf Calculation 239(1)
Amplification Calculation 240(1)
Summary of the Procedure 241(1)
Sample Calculation: Input and Output Data 241(16)
Description
Input File Description 242(3)
Calculation of the Lower Branch of the 245(1)
Zarf
Amplification Calculations for 246(5)
Disturbances from the Lower Branch
Zarf Upper Branch Calculation 251(3)
Amplification Calculations for 254(3)
Disturbances from the Upper Branch
Quick Reference Manual 257(2)
Subject Index 259