Cover -- Title -- Copyright -- Table of Contents -- Preface -- Chapter 1. Physical Phenomena Associated with Unsteady Transonic Flows -- Nomenclature -- Introduction -- Development of Unsteady Transonic Flows -- Coupling of Steady and Unsteady Flows -- Transonic Flow on a Rigid Airfoil -- Inviscid Transonic Flow on an Oscillating Airfoil -- Note on the Nonlinearities in the Chordwise Variation of Pressures -- Unsteady Shock Motions -- Oscillatory Motion of Normal Shocks -- Types of Oscillatory Shock Motion -- Periodic Shock Oscillations on Rigid Airfoils -- Influence of Trailing-Edge Conditions -- Transonic Buffet and Buffeting -- Classification of Wing Flows and Buffeting -- Unswept Wings -- Swept Wings -- Slender Wings -- Heavy Buffet Limit for Unswept, Swept, and Slender Wings -- Transonic Flutter Problems -- Transonic Dip in the Flutter Boundary -- Single-Degree-of-Freedom Flutter due to Shock-Induced Separation -- Some Experimental Problems -- Steady and Unsteady Wall Interference -- Flow Unsteadiness -- Effects of Flow Unsteadiness -- Note on the Difficulty of Measuring Unsteady Pressures -- Evaluation of NLR Unsteady Measurements -- Modification of Time-Dependent Boundary Conditions -- References -- Chapter 2. Basic Equations for Unsteady Transonic Flow -- Flow Phenomena to be Modeled -- Basic Equations for Transonic Flow -- Navier-Stokes Equations -- Reynolds-Averaged Navier-Stokes Equations -- Euler Equations -- Potential Equation -- Summary of Equations Sets -- Boundary Conditions -- Navier-Stokes Equations -- Euler Equations -- Potential Equation -- Some Aspects of Transonic Potential Theory -- Indicial Theory -- Linearization of the TSD Equation -- Effect of Frequency on Shock Motion -- Multiple Solutions of the Potential Equation -- References -- Chapter 3. Practical Problems: Airplanes -- Introduction -- Flutter.

Limit Cycle Oscillations -- Influence of Manufacturing Tolerances on the Transonic Vibration of a Horizontal Tail -- Limit Cycle Oscillations on a Variable Sweep Wing -- Limit Cycle Oscillations on a Variable Sweep Wing with a Supercritical Airfoil -- Proposed Mathematical Model for LCO -- Gust Response -- Maneuver Aerodynamics -- Unsteady Shock-Vortex Interactions -- Control Reversal: Characteristics and Buzz -- Active Controls Technology Needs for Gust Alleviation and Flutter Suppression -- Concluding Remarks -- References -- Chapter 4. Basic Numerical Methods -- Nomenclature -- Introduction -- Unsteady Euler Equations -- One-Dimensional Inviscid Flow Equations -- Differencing Schemes for the Scalar Wave Equation -- Lax-Wendroff and MacCormack Schemes -- Implicit Schemes, Local Linearization, and Numerical Dissipation -- Eigensplittings -- Multidimensional Explicit Schemes -- Multidimensional Implicit Schemes, Approximate Factorization -- Navier-Stokes Equations -- Model Scalar Convection Diffusion Equation -- Numerical Solution of the Navier-Stokes Equations -- Boundary-Layer Methods -- Unsteady Boundary-Layer Equations -- Differencing Schemes for the Model Equation -- Numerical Methods for the Boundary-Layer Equations -- Interaction Schemes -- Unsteady Potential Flow -- Governing Equations -- Numerical Solution of the Small-Disturbance Equation -- Numerical Solution of the Transonic Potential Equation -- Circulation Treatment -- Equations in Transformed Coordinates -- Coordinate Transformations -- Differencing Transformed Equations -- Thin-Layer Navier-Stokes Approximation -- Three-Dimensional Thin-Layer Equations -- Transonic Full Potential Equation -- Appendix: Circulants and Stability -- References -- Chapter 5. Computational Methods for Unsteady Transonic Flows -- Introduction -- Transonic Flow Phenomena -- Experimental Data Sets.

Computational Methods -- Early Computational Demonstration -- Computation of Shock Motions -- Periodic Aerodynamic Oscillations -- Calculation of Aileron Buzz -- Swept-Wing Aeroelastic Analysis -- Maturation of Computational Methods -- Augmentations to Potential Methods -- Nonunique Solutions of the Potential Equation -- Treatment of Moving Grids -- Interactive Viscous Modeling -- Solution Algorithms -- Treatment of Realistic Configurations -- Aeroelastic Applications -- Type II Mixed Flow Computation -- Concluding Remarks -- References -- Chapter 6. Application of Transonic Flow Analysis to Helicopter Rotor Problems -- Introduction -- Equations of Motion and Their Implementations -- Computation of Real Rotor Flows -- Role of Experimental Data -- Nonlifting Rotor Flows -- High-Speed Hover -- High Advance Ratio Lifting Rotor Flows -- Strong Blade/Vortex Interaction Computations -- Concluding Remarks -- References -- Chapter 7. Unsteady Aerodynamics for Turbomachinery Aeroelastic Applications -- Introduction -- Blade Vibrations -- Flutter -- Forced Vibration -- Cascade Unsteady Aerodynamic Analysis -- Nonlinear Time-Dependent Aerodynamic Formulation -- Problem Description -- Governing Equations -- Small-Unsteady Disturbance Approximations -- Steady Background Flow -- Linearized Unsteady Flow -- Field Equations -- Surface Conditions -- Far-Field Behavior -- Aerodynamic Response at a Blade Surface -- Surface Pressures -- Unsteady Airloads -- Response Predictions: Uniform Mean Flow -- Subsonic Flow -- Supersonic Flow -- Related Theories -- Response Predictions: Nonuniform Mean Flow -- NACA 0012 Cascade -- DCA Cascade -- Comparisons Between Theory and Experiment -- Concluding Remarks -- Acknowledgments -- References -- Chapter 8. Alternative Methods for Modeling Unsteady Transonic Flows -- Introduction -- Basic Equations.

Integral Equation Methods for Predicting Unsteady Transonic Flows -- Local Linearization Techniques -- Indicial Method -- Indicial Theory for Cascade Flows -- Strong Shock Potential Theories -- High-Frequency Solutions -- References -- Author Index for Volume 120.