Ebook: Instability, Transition, and Turbulence

This volume contains the proceedings of the Workshop on In­ stability, Transition and Turbulence, sponsored by the Institute for Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center (LaRC), during July 8 to August 2, 1991. This is the second workshop in the series on the subject. The first was held in 1989, and its proceedings were published by Springer-Verlag under the title "Instability and Transition" edited by M. Y. Hussaini and R. G. Voigt. The objectives of these work­ shops are to i) expose the academic community to current technologically im­ portant issues of transition and turbulence in shear flows over the entire speed range, ii) acquaint the academic community with the unique combination of theoretical, computational and experimental capabilities at LaRC and foster interaction with these capabilities, and iii) accelerate progress in elucidating the fundamental phenomena of transition and turbulence, leading to improved transition and turbulence modeling in design methodologies. The research areas covered in these proceedings include receptiv­ ity and roughness, nonlinear theories of transition, numerical simu­ lation of spatially evolving flows, modelling of transitional and fully turbulent flows as well as some experiments on instability and tran­ sition. In addition a one-day mini-symposium was held to discuss 1 recent and planned experiments on turbulent flow over a backward­ facing step.

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The projects treated at the 1991 ICASE Summer Workshop on Instability, Transition and Turbulence at the NASA Langley Research Center focused on nonlinear aspects of the boundary-layer transition and on theory and modeling of turbulence, with emphasis on high-speed flows. Groups of workshop participants dealt with such topics as experimental methods, asymptotics, advanced stability, simulation, receptivity, and turbulence theory and modeling. This volume presents a summary of their results.

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The projects treated at the 1991 ICASE Summer Workshop on Instability, Transition and Turbulence at the NASA Langley Research Center focused on nonlinear aspects of the boundary-layer transition and on theory and modeling of turbulence, with emphasis on high-speed flows. Groups of workshop participants dealt with such topics as experimental methods, asymptotics, advanced stability, simulation, receptivity, and turbulence theory and modeling. This volume presents a summary of their results.
Content:
Front Matter....Pages i-xxii
Front Matter....Pages 1-1
Group Summary: Experiments....Pages 3-3
Controlled Experiments on Resonant Cross-Flow Mode Interactions....Pages 4-17
High Speed Boundary Layer Transition on a Blunt Nose Flare with Roughness....Pages 18-27
Mini-Symposium on the Turbulent Flow Over a Backward-Facing Step....Pages 28-36
Front Matter....Pages 37-37
Group Summary: Asymptotics I....Pages 39-40
The Inviscid Instability of a Nonlinear G?rtler Vortex State in a Large Mach Number Boundary Layer Flow....Pages 41-50
On the Interaction of G?rtler Vortices and Tollmien-Schlichting Waves in Boundary Layer Flows....Pages 51-60
On the Nonlinear Evolution of Large Wavelength G?rtler Vortices....Pages 61-78
Vortex-Wave Interaction in a Strong Adverse Pressure Gradient....Pages 79-91
Front Matter....Pages 93-93
Group Summary: Advanced Asymptotics — II....Pages 95-95
Ellipticity in the Vortex Breakdown Problem....Pages 96-106
Inviscid Stability of Hypersonic Strong Interaction Flow Over a Flat Plate....Pages 107-126
Nonseparable Eigenmodes of the Incompressible Boundary Layer....Pages 127-136
Spatially-Quasiperiodic States in Shear Flows....Pages 137-145
Front Matter....Pages 147-147
Group Summary: Advanced Stability....Pages 149-150
Effect of Suction on the Stability of Flow on a Rotating Disk....Pages 151-167
Nonparallel Stability of Rotating Disk Flow Using PSE....Pages 168-180
Local and Non-Local Stability Theory of Spatially Varying Flows....Pages 181-201
Temperature Effects on the Instability of an Infinite Swept Attachment Line....Pages 202-211
Stability of Velocity Profiles with Reverse Flow....Pages 212-215
Front Matter....Pages 147-147
Boundary-Layer Transition: Critical-Layer Nonlinearity in Fully Interactive Resonant Triad....Pages 216-230
Oblique Mode Breakdown in a Supersonic Boundary Layer Using Nonlinear PSE....Pages 231-241
Discrete Modes and Continuous Spectra in a Mach 2 Boundary Layer....Pages 242-252
On the Stability of Normal Shock Waves....Pages 253-265
Front Matter....Pages 267-267
Group Summary: Simulation I....Pages 269-270
Effects of Inflow Disturbances on Spatially-Evolving Instability in Plane Channel Flow....Pages 271-282
A Spectral Multi-Domain Code for the Navier-Stokes Equations....Pages 283-293
A Preliminary Study of Crossflow Transition on a Swept Wing by Spatial Direct Numerical Simulation....Pages 294-303
Oblique-Wave Breakdown in an Incompressible Boundary Layer Computed by Spatial DNS and PSE Theory....Pages 304-310
Simulation of Nonlinear Tollmien-Schlichting Wave Growth Through a Laminar Separation Bubble....Pages 311-321
Front Matter....Pages 323-323
Group Summary: Simulation II....Pages 325-326
Reynolds Stress Budget in a Transitional Channel Flow....Pages 327-336
Outgoing Acoustic Waves in an Unstable Supersonic Laminar Boundary Layer Over a Flexible Surface....Pages 337-343
On the Non-Uniqueness of the Parallel-Flow Approximation....Pages 344-355
Channel Flow Transition Induced by a Pair of Oblique Waves....Pages 356-366
The Formation and Growth of a Hairpin Vortex....Pages 367-376
Aspects of Laminar Breakdown in Boundary-Layer Transition....Pages 377-387
Front Matter....Pages 389-389
Group Summary: Simulation III....Pages 391-392
Instability of Wall-Bounded Compressible Reacting Mixing Layers....Pages 393-403
Stability of High Speed Compressible Rotating Couette Flow....Pages 404-415
Front Matter....Pages 417-417
Group Summary: Receptivity....Pages 419-420
Effect of Leading-Edge Geometry on Boundary-Layer Receptivity to Freestream Sound....Pages 421-440
Effect of Nose Bluntness on Leading-Edge Receptivity....Pages 441-451
Leading-Edge Receptivity to a Vortical Freestream Disturbance: A Numerical Analysis....Pages 452-469
Nonlocalized Receptivity to Vortical Free-Stream Disturbances....Pages 470-480
Front Matter....Pages 481-481
Group Summary: Turbulence Theory....Pages 483-484
Assessment of Two-Equation Turbulence Models for Predicting Transitional Flows....Pages 485-497
Proper Orthogonal Decomposition Based Turbulence Modeling....Pages 498-510
Detonation-Turbulence Interactions....Pages 511-523
Spectral Laws for the Compressible Isotropic Turbulence....Pages 524-534
Nonlinear Wave Interactions in Compressible Turbulence....Pages 535-543
A Comparison of Turbulence Models for Homogeneous Shear Flows with Longitudinal Curvature....Pages 544-558
Front Matter....Pages 559-559
Group Summary: Turbulence Modeling....Pages 561-562
The Role of Vortex Stretching In Turbulence Modeling....Pages 563-574
Application of Second Moment Closure Models to Complex Flows: Part I—Wall Bounded Flows....Pages 575-588
Large-Eddy Simulation of Supersonic, Wall-Bounded, Turbulent Flows....Pages 589-599
Turbulent Flow Past the Backward-Facing Step: Modeling and Computations....Pages 600-610
A k ? ? Calculation of Transitional Boundary Layers....Pages 611-620

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The projects treated at the 1991 ICASE Summer Workshop on Instability, Transition and Turbulence at the NASA Langley Research Center focused on nonlinear aspects of the boundary-layer transition and on theory and modeling of turbulence, with emphasis on high-speed flows. Groups of workshop participants dealt with such topics as experimental methods, asymptotics, advanced stability, simulation, receptivity, and turbulence theory and modeling. This volume presents a summary of their results.
Content:
Front Matter....Pages i-xxii
Front Matter....Pages 1-1
Group Summary: Experiments....Pages 3-3
Controlled Experiments on Resonant Cross-Flow Mode Interactions....Pages 4-17
High Speed Boundary Layer Transition on a Blunt Nose Flare with Roughness....Pages 18-27
Mini-Symposium on the Turbulent Flow Over a Backward-Facing Step....Pages 28-36
Front Matter....Pages 37-37
Group Summary: Asymptotics I....Pages 39-40
The Inviscid Instability of a Nonlinear G?rtler Vortex State in a Large Mach Number Boundary Layer Flow....Pages 41-50
On the Interaction of G?rtler Vortices and Tollmien-Schlichting Waves in Boundary Layer Flows....Pages 51-60
On the Nonlinear Evolution of Large Wavelength G?rtler Vortices....Pages 61-78
Vortex-Wave Interaction in a Strong Adverse Pressure Gradient....Pages 79-91
Front Matter....Pages 93-93
Group Summary: Advanced Asymptotics — II....Pages 95-95
Ellipticity in the Vortex Breakdown Problem....Pages 96-106
Inviscid Stability of Hypersonic Strong Interaction Flow Over a Flat Plate....Pages 107-126
Nonseparable Eigenmodes of the Incompressible Boundary Layer....Pages 127-136
Spatially-Quasiperiodic States in Shear Flows....Pages 137-145
Front Matter....Pages 147-147
Group Summary: Advanced Stability....Pages 149-150
Effect of Suction on the Stability of Flow on a Rotating Disk....Pages 151-167
Nonparallel Stability of Rotating Disk Flow Using PSE....Pages 168-180
Local and Non-Local Stability Theory of Spatially Varying Flows....Pages 181-201
Temperature Effects on the Instability of an Infinite Swept Attachment Line....Pages 202-211
Stability of Velocity Profiles with Reverse Flow....Pages 212-215
Front Matter....Pages 147-147
Boundary-Layer Transition: Critical-Layer Nonlinearity in Fully Interactive Resonant Triad....Pages 216-230
Oblique Mode Breakdown in a Supersonic Boundary Layer Using Nonlinear PSE....Pages 231-241
Discrete Modes and Continuous Spectra in a Mach 2 Boundary Layer....Pages 242-252
On the Stability of Normal Shock Waves....Pages 253-265
Front Matter....Pages 267-267
Group Summary: Simulation I....Pages 269-270
Effects of Inflow Disturbances on Spatially-Evolving Instability in Plane Channel Flow....Pages 271-282
A Spectral Multi-Domain Code for the Navier-Stokes Equations....Pages 283-293
A Preliminary Study of Crossflow Transition on a Swept Wing by Spatial Direct Numerical Simulation....Pages 294-303
Oblique-Wave Breakdown in an Incompressible Boundary Layer Computed by Spatial DNS and PSE Theory....Pages 304-310
Simulation of Nonlinear Tollmien-Schlichting Wave Growth Through a Laminar Separation Bubble....Pages 311-321
Front Matter....Pages 323-323
Group Summary: Simulation II....Pages 325-326
Reynolds Stress Budget in a Transitional Channel Flow....Pages 327-336
Outgoing Acoustic Waves in an Unstable Supersonic Laminar Boundary Layer Over a Flexible Surface....Pages 337-343
On the Non-Uniqueness of the Parallel-Flow Approximation....Pages 344-355
Channel Flow Transition Induced by a Pair of Oblique Waves....Pages 356-366
The Formation and Growth of a Hairpin Vortex....Pages 367-376
Aspects of Laminar Breakdown in Boundary-Layer Transition....Pages 377-387
Front Matter....Pages 389-389
Group Summary: Simulation III....Pages 391-392
Instability of Wall-Bounded Compressible Reacting Mixing Layers....Pages 393-403
Stability of High Speed Compressible Rotating Couette Flow....Pages 404-415
Front Matter....Pages 417-417
Group Summary: Receptivity....Pages 419-420
Effect of Leading-Edge Geometry on Boundary-Layer Receptivity to Freestream Sound....Pages 421-440
Effect of Nose Bluntness on Leading-Edge Receptivity....Pages 441-451
Leading-Edge Receptivity to a Vortical Freestream Disturbance: A Numerical Analysis....Pages 452-469
Nonlocalized Receptivity to Vortical Free-Stream Disturbances....Pages 470-480
Front Matter....Pages 481-481
Group Summary: Turbulence Theory....Pages 483-484
Assessment of Two-Equation Turbulence Models for Predicting Transitional Flows....Pages 485-497
Proper Orthogonal Decomposition Based Turbulence Modeling....Pages 498-510
Detonation-Turbulence Interactions....Pages 511-523
Spectral Laws for the Compressible Isotropic Turbulence....Pages 524-534
Nonlinear Wave Interactions in Compressible Turbulence....Pages 535-543
A Comparison of Turbulence Models for Homogeneous Shear Flows with Longitudinal Curvature....Pages 544-558
Front Matter....Pages 559-559
Group Summary: Turbulence Modeling....Pages 561-562
The Role of Vortex Stretching In Turbulence Modeling....Pages 563-574
Application of Second Moment Closure Models to Complex Flows: Part I—Wall Bounded Flows....Pages 575-588
Large-Eddy Simulation of Supersonic, Wall-Bounded, Turbulent Flows....Pages 589-599
Turbulent Flow Past the Backward-Facing Step: Modeling and Computations....Pages 600-610
A k ? ? Calculation of Transitional Boundary Layers....Pages 611-620
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