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Turbulence and Transition in Supersonic and Hypersonic Flows explains how to understand and mathematically model these phenomena, with an emphasis on the unique challenges and features that the compressibility of the fluid introduces. This timely book responds to an increase in research interest in this topic, explaining how to use the latest numerical methods as well as providing important background theory. It covers both the problem of how a laminar boundary layer transitions to turbulence in the supersonic and hypersonic regime and the problem of how compressibility of a fluid affects turbulence.Compressible flows are important in many areas of engineering, including external aerodynamics, internal flows in propulsion and power generation applications, flows in supercritical fluids, and many others.- Provides an interdisciplinary approach to this topic, drawing on physics, applied math, and fluid mechanics- Explains theory and modeling of high-speed turbulent shear layers- Addresses astrophysical applications, such as star formation
1. Introduction and overview of supersonic and hypersonic flows2. Fundamentals of boundary layer instability theory and transition mechanisms3. Multi-dimensional stability analysis of supersonic and hypersonic boundary layers4. Receptivity of hypersonic boundary layers5. Parabolized stability equations for hypersonic boundary layers6. Breakdown to turbulence and DNS of hypersonic boundary layers7. Transient growth and input/output analysis8. Isotropic turbulence and its interaction with shock waves9. Compressible turbulent shear layers10. Wall-bounded compressible turbulent flows11. Shock-wave/boundary-layer interactions12. Jet noise13. Turbulence modelling in compressible flows
