[...]... Physics 7.2.1 Shock Wave–Laminar Boundary-Layer Interactions at High Mach Number 7.2.2 Hypersonic Compression-Corner Flows 7.2.3 Hypersonic Shock- Shock Interactions 7.3 Numerical Methods for Hypersonic Shock Boundary-Layer Interaction Flows 7.4 Example: Double-Cone Flow for CFD Code Validation 7.5 Conclusions Acknowledgments 314 315 315 317 321 324 327 332 333 8 Shock Wave–Boundary-Layer Interactions. .. 1 1 C1 C2 10 () 1 0 -60 -40 -20 0 20 40 60 (b) Figure 2.6 (a) Type I shock- shock interference Physical plane (b) Type I shock- shock interference Plane of polars (M1 = 10, ϕ1 = 20◦ , ϕ2 = −30◦ ) 2.2.3 Shock Intersections and the Edney Classification of Shock- Shock Interferences Distinctive features of shock- induced separation are the shock patterns that occur in the contiguous inviscid flow as a consequence... representations; the most convenient form is a plot of the shock- pressure rise (or the pressure ratio p2 / p1 ) versus the velocity deflection ϕ through the shock Shock polars defined this way are 8 Physical Introduction Normal shock p p1 2 Strong shock Subsonic 4 Supersonic Maximum deflection 5 1 Weak shock Vanishing shock p1 ϕ 3 Limit angle ϕ max Figure 2.2 The shock- polar representation in term of flow deflection... expansion polar 1 C1 () 1 10 0 -40 -20 0 20 40 60 (b) C3 M1 T1 3 6 Slip line Shock wave 1 4 C2 C1 2 2 1 (c) Figure 2.11 (a) Type VI shock- shock interference (case with expansion) Physical plane (b) Type VI shock- shock interference Plane of polars (M1 = 10, ϕ1 = 20◦ , ϕ2 = 35◦ ) (c) Type VI shock- shock interference (case with shock) Physical plane ... Babinsky and John K Harvey Shock wave–boundary-layer interactions (SBLIs) occur when a shock wave and a boundary layer converge and, since both can be found in almost every supersonic flow, these interactions are commonplace The most obvious way for them to arise is for an externally generated shock wave to impinge onto a surface on which there is a boundary layer However, these interactions also can be... 60 (b) Figure 2.9 (a) Type IV shock- shock interference Physical plane (b) Type IV shock- shock interference Plane of polars (M1 = 10, ϕ1 = 10◦ ) shock- polar diagram Because Type V interference is rarely encountered, this rather lengthy exercise is not undertaken here Type VI interference occurs when shocks (C1 ) and (C2 ) cross in a region where they are both weak-oblique shocks from the same family The... SBLIs 3.4.1 Shock Control 3.4.2 Methods of Shock Control Contoured-Surface Bump ‘Passive’ Control Other Methods of Shock Control Three-Dimensional Shock- Control Methods 3.4.3 Methods of Boundary-Layer Control xi 114 114 117 118 118 123 124 127 127 129 130 130 132 4 Ideal-Gas Shock Wave–Turbulent Boundary-Layer Interactions (STBLIs) in Supersonic Flows and Their Modeling: Two-Dimensional Interactions. .. 298 Contents 6.5.4 Shock- Shock Interaction on Transpiration-Cooled Leading Edges 6.6 Real-Gas Effects on Viscous Interactions Phenomena 6.6.1 Introduction 6.6.2 Studies of Real-Gas Effects on Aerothermal Characteristics of Control Surfaces on a U.S Space Shuttle Configuration 6.7 Concluding Remarks xiii 299 300 300 305 308 7 Numerical Simulation of Hypersonic Shock Wave–Boundary-Layer Interactions ... ( 3 ) intersect the strong -shock branch of ( 1 ) and a near-normal shock (C5 ) forms in upstream flow (1) joining triple points T1 and T2 , with the image being the arc of ( 1 ) included between states (4) and (5) Shock (C5 ) is a strong-oblique shock of variable intensity between T1 and T2 Type III interference occurs when a weak-oblique shock crosses a strong nearnormal shock The situations in the... 3 Transonic Shock Wave–Boundary-Layer Interactions 87 3.1 3.2 3.3 Introduction to Transonic Interactions Applications of Transonic SBLIs and Associated Performance Losses 3.2.1 Transonic Airfoils and Cascades Shock Losses on Transonic Wings 3.2.2 Supersonic Engine Intakes 3.2.3 Internal Flows Normal SBLIs in Detail 3.3.1 Attached-Flow Interaction Region I (Upstream of Main Shock) Region . Aerodynamics 32. H. Babinsky and J. K. Harvey: Shock Wave–Boundary-Layer Interactions Shock Wave–Boundary-Layer Interactions Edited by Holger Babinsky University. Numerical Simulation of Hypersonic Shock Wave–Boundary-Layer Interactions 314 Graham V. Candler 8 Shock Wave–Boundary-Layer Interactions Occurring in Hypersonic