Modern Developments in Gas Dynamics

1 Theory of the Hydraulic Analogy for Steady and Unsteady Gas Dynamics.- 1. Two-Dimensional Steady Flow Analogy.- 1.1. Energy Equation.- 1.2. Continuity Equation.- 1.3. Irrotational Motion.- 1.4. Summary.- 2. Hydraulic Jumps (Shocks).- 2.1. Shock Polars.- 2.2. Water Depths in Hydraulic Jump.- 2.3. Energy Loss during Hydraulic Jump.- 2.4. Summary.- 3. One-Dimensional Unsteady Gas Dynamics by Hydraulic Analogy.- 3.1. Two-Dimensional Steady Flow.- 3.2. One-Dimensional Unsteady Flow.- 3.3. Equations of Standing Waves.- 3.4. Summary of Analogous Equations.- 3.5. Discussion.- 4. Hydraulic Analogy for Longitudinal Plane Waves. Derivation of Equations of Standing Waves.- 4.1. Continuity Equation.- 4.2. Equation of Thermodynamics and Equation of Hydraulics.- 4.3. Equation of Motion.- 4.4. Wave Equations,.- 4.5. Equation of Wave Propagation Velocity.- 4.6. Summary.- 5. Experimental Verification.- 5.1. Equations for Experimental Model.- 5.2. Analogous Quantities for Hydraulic Model Design.- Appendix A.- Appendix B.- Notation.- References.- 2 Combined Heat and Mass Transfer Processes.- 1. Conservation Equations.- 2. Constitutive Equations.- 3. Laminar Boundary Layer Equations.- 4. Solutions of the Laminar Boundary Layer Equations.- 4.1. Heat Transfer.- 4.2. Mass Transfer.- 4.3. Example.- 5. Turbulent Boundary Layers.- 6. Correction Equations for Pr ? 1 and Le ? 1.- Notation.- References.- 3 Hypersonic Viscous Flows.- 1. Induced-Pressure Effects.- 1.1. Introduction.- 1.2. Basic Considerations.- 1.3. Flat Plate ? = 0.- 1.4. Blunt Wedge.- 2. Closed-Form Local Similarity.- 2.1. Local Similarity Defined.- 2.2. Compressible Similar Solutions.- 2.3. Closed-Form Local-Similarity Solutions.- 3. Boundary Layer Transition.- 4. Turbulent Boundary Layer.- 4.1. Effect of Wall-Temperature Ratio.- 4.2. Virtual Origin.- 4.3. Transformation of Compressible Boundary Layer Profiles.- Notation.- References.- 4 Hypersonic Gas Dynamics of Slender Bodies.- 1. Inviscid Flows and Related Problems.- 1.1. Entropy and Speed Defects.- 1.2. The Shock-Layer/Entropy-Wake Interaction.- 1.3. Blow-Hard.- 1.4. Minimizing Drag.- 2. The Outer-Edge Problem of the Hypersonic Boundary Layer on a Slender Body.- 2.1. The Outer-Edge Problem.- 2.2. The Scales Associated with the Viscous Transition Layer.- 2.3. The Transition Layer in the Strong- and Weak-Interaction Regimes Involving Power-Law Shocks.- 2.4. The Outer-Edge Problem for the Flat Plate in the Strong-Interaction Regime: ? = 1.- 3. Transverse Curvature and Cross Flow in the Strong-Interaction Regime.- 3.1. A Strong-Interaction Formulation of Hypersonic Viscous Flow around Asymmetrical Slender Bodies.- 3.2. The Needle in the Strong-Interaction Regime.- 3.3. The Needle Problem in the Weak-Shock Regimes.- Acknowledgment.- References.- 5 Hypersonic Blunt-Body Gas Dynamics.- 1. Classification of Body Shapes.- 2. Blunt-Body Flow Fields.- 3. Flow Regimes.- 4. Flow-Field Gas Properties.- 5. Inviscid-Flow Analysis.- 5.1. Methods of Analysis-Subsonic-Transonic Region.- 5.2. Method of Analysis-Supersonic Region.- 6. Viscous-Flow Analysis.- 6.1. Methods of Analysis-Boundary Layer.- 6.2. Improved Boundary-Layer Analysis.- 7. Interactions of Viscous-Inviscid Flow.- 7.1. Separated Flow.- 7.2. Base and Wake Flow Fields.- 8. Wake Flows.- 9. Summary.- Notation.- References.- 6 Rarefied Gas Dynamics.- 1. Elements of Kinetic Theory.- 2. Free-Molecular Flow.- 3. Slip Flow.- References.- 7 Fundamentals of Radiation Gas Dynamics.- 1. Fundamentals of Radiative Transfer.- 2. Fundamental Equations of Radiation Gas Dynamics.- 3. Initial and Boundary Conditions of Radiation Gas Dynamics.- 4. Similarity Parameters of Radiation Gas Dynamics.- 4.1. Dimensionless Parameters of Ordinary Gas Dynamics.- 4.2. Dimensionless Parameters of Radiation Gas Dynamics.- 5. Radiation Mean Free Path.- 6. Wave Motion in a Radiating Gas.- 7. Shock Waves.- 7.1. Rankine-Hugoniot Relations in Radiation Gas Dynamics.- 7.2. Shock-Wave Structure.- 8. Two-Dimensional Channel Flows of an Ionized, Radiating Gas.- 9. Unsteady Laminar Boundary Layer on an Infinite Plate.- 10. A Uniform Flow of a Radiating Gas Over a Semiinfinite Plate.- 11. Stagnation-Point Heat Transfer in Radiation Gas Dynamics.- Acknowledgment.- Notation.- References.- 8 Some Problems of Radiative Transfer.- 1. Absorption Coefficients for Radiative Transfer Calculation.- 1.1. Gray-Gas Approximations.- 1.2. Piecewise Gray Models.- 1.3. Models for Band Radiation.- 2. The Differential Approximation.- 2.1. For a Nongray Gas.- 2.2. Difficulties near Surfaces.- 2.3. The Three-Dimensional Difficulty.- 3. A Problem of Thermal Choking by Radiation.- Notation.- References.- 9 Plasma Dynamics.- 1. Plasmas and Plasma Dynamics.- 2. Fundamental Equations of the Dynamics of an Electrically-Conducting Fluid.- 3. Equations and Boundary Conditions of Electromagnetic Fields.- 4. Magnetogasdynamic Approximations.- 5. Electrogasdynamic Approximations.- 6. Important Parameters of Electromagnetofluid Dynamics.- 7. One-Dimensional Flow in Magnetogasdynamics.- 8. One-Dimensional Flow in Electrogasdynamics.- 9. Channel Flow in Magnetohydrodynamics.- 10. Waves and Shocks in Magnetogasdynamics.- 11. Boundary Layer Flow in Magnetofluid Dynamics.- 12. Wakes in Magnetohydrodynamics.- 13. Tensor Electrical Conductivity.- 14. Turbulent Flow in Magnetohydrodynamics.- 15. Multifluid Theory of Magnetofluid Dynamics.- Acknowledgment.- Notation.- References.- Author Index.