Ebook: IUTAM Symposium on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers: Proceedings of the IUTAM Symposium held in Manchester, U.K., 17–20 July 1995

Most fluid flows of practical importance are fully three-dimensional, so the non-linear instability properties of three-dimensional flows are of particular interest. In some cases the three-dimensionality may have been caused by a finite amplitude disturbance whilst, more usually, the unperturbed state is three-dimensional. Practical applications where transition is thought to be associated with non-linearity in a three- dimensional flow arise, for example, in aerodynamics (swept wings, engine nacelles, etc.), turbines and aortic blood flow. Here inviscid `cross-flow' disturbances as well as Tollmien-Schlichting and Görtler vortices can all occur simultaneously and their mutual non-linear behaviour must be understood if transition is to be predicted. The non-linear interactions are so complex that usually fully numerical or combined asymptotic/numerical methods must be used.
Moreover, in view of the complexity of the instability processes, there is also a growing need for detailed and accurate experimental information. Carefully conducted tests allow us to identify those elements of a particular problem which are dominant. This assists in both the formulation of a relevant theoretical problem and the subsequent physical validation of predictions. It should be noted that the demands made upon the skills of the experimentalist are high and that the tests can be extremely sophisticated - often making use of the latest developments in flow diagnostic techniques, automated high speed data gathering, data analysis, fast processing and presentation.

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Most fluid flows of practical importance are fully three-dimensional, so the non-linear instability properties of three-dimensional flows are of particular interest. In some cases the three-dimensionality may have been caused by a finite amplitude disturbance whilst, more usually, the unperturbed state is three-dimensional. Practical applications where transition is thought to be associated with non-linearity in a three- dimensional flow arise, for example, in aerodynamics (swept wings, engine nacelles, etc.), turbines and aortic blood flow. Here inviscid `cross-flow' disturbances as well as Tollmien-Schlichting and G?rtler vortices can all occur simultaneously and their mutual non-linear behaviour must be understood if transition is to be predicted. The non-linear interactions are so complex that usually fully numerical or combined asymptotic/numerical methods must be used.
Moreover, in view of the complexity of the instability processes, there is also a growing need for detailed and accurate experimental information. Carefully conducted tests allow us to identify those elements of a particular problem which are dominant. This assists in both the formulation of a relevant theoretical problem and the subsequent physical validation of predictions. It should be noted that the demands made upon the skills of the experimentalist are high and that the tests can be extremely sophisticated - often making use of the latest developments in flow diagnostic techniques, automated high speed data gathering, data analysis, fast processing and presentation.

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Most fluid flows of practical importance are fully three-dimensional, so the non-linear instability properties of three-dimensional flows are of particular interest. In some cases the three-dimensionality may have been caused by a finite amplitude disturbance whilst, more usually, the unperturbed state is three-dimensional. Practical applications where transition is thought to be associated with non-linearity in a three- dimensional flow arise, for example, in aerodynamics (swept wings, engine nacelles, etc.), turbines and aortic blood flow. Here inviscid `cross-flow' disturbances as well as Tollmien-Schlichting and G?rtler vortices can all occur simultaneously and their mutual non-linear behaviour must be understood if transition is to be predicted. The non-linear interactions are so complex that usually fully numerical or combined asymptotic/numerical methods must be used.
Moreover, in view of the complexity of the instability processes, there is also a growing need for detailed and accurate experimental information. Carefully conducted tests allow us to identify those elements of a particular problem which are dominant. This assists in both the formulation of a relevant theoretical problem and the subsequent physical validation of predictions. It should be noted that the demands made upon the skills of the experimentalist are high and that the tests can be extremely sophisticated - often making use of the latest developments in flow diagnostic techniques, automated high speed data gathering, data analysis, fast processing and presentation.
Content:
Front Matter....Pages i-xvii
The Effect of Nonlinear Critical Layers on Boundary Layer Transition....Pages 1-15
Experimental Investigation of Laminar-Turbulent Transition Process in Supersonic Boundary Layer Using Controlled Disturbances....Pages 17-26
An Active Resonant Triad of Mixed Modes in a Symmetric Shear flow....Pages 27-36
Wave Packets Described by the Uniformly Valid Model of Three-Dimensional Boundary Layer....Pages 37-45
Experiments on a 2:1 Resonance in the Blasius Boundary Layer....Pages 47-54
Linear and Nonlinear Unstable 3D Waves for Boundary Layers in Differentially Heated Enclosures....Pages 55-64
Non-Linear Three-Dimensional Wave Packets in Axisymmetric Flows....Pages 65-74
The Nonlinear Evolution of Inviscid G?rtler Vortices in 3-D Boundary Layers: The Effects of Non-Dominant Viscosity in the Critical Layer....Pages 75-84
On the Secondary Instability of G?rtler Vortices in Three-Dimensional Boundary Layers....Pages 85-94
On The Nonlinear Evolution of Gortler Vortices in Curved Mixing Layers....Pages 95-104
The Nonlinear Evolution of Inviscid Secondary Instabilities of a Fully Nonlinear G?rtler Vortex Flow....Pages 105-114
Generation, Development and Interaction of Instability Modes in Swept-Wing Boundary Layer....Pages 115-132
Non-Linear Instability and Transition in Flow Near a Swept Leading Edge....Pages 133-146
Design and Control of Crossflow Instability Field....Pages 147-156
Influence of Spanwise Pressure Gradient on Transition Prediction in Transonic Flows....Pages 157-166
Nonlinear Waves in a Three-Dimensional Boundary Layer....Pages 167-176
Spiral Instability of Fanning Swirling Jets....Pages 177-186
Non-Linear Evolution of Point-Source Disturbances in an Adverse Pressure Gradient Laminar Boundary Layer....Pages 187-196
The Nonlinear Behaviour of Modulated Tollmien-Schlichting Waves....Pages 197-206
Non-Linear Instabiliy and 3-D Transition in the Flow Past a Circular Cylinder at Low Reynolds Number....Pages 207-216
Nonlinear Development of Travelling Waves in a Three-Dimensional Boundary Layer....Pages 217-226
Generation of Secondary Instability Modes by Localized Surface Suction-Blowing....Pages 227-236
Nonlinear Analysis with PSE Approach....Pages 237-246
On The Birth and Evolution of Disturbances in Three-Dimensional Boundary Layers....Pages 247-256
Nonlinear Crossflow Disturbances and Secondary Instabilities in Swept-Wing Boundary Layers....Pages 257-266
Cross-Flow Instability with Periodic Distributed Roughness....Pages 267-282
Nonlinear Transition Paths in Boundary Layers with Cross-Flow....Pages 283-297
Nonlinear Crossflow Saturation in Three-Dimensional Boundary Layers....Pages 299-308
Cross-Flow Influence on Nonlinear Tollmien-Schlichting/Vortex Interaction....Pages 309-316
On the Nonlinear Evolution of a Stationary Cross-Flow Vortex in a Fully Three-Dimensional Boundary Layer Flow....Pages 317-326
Effect of Wall Compliance on Rotating-Disc Boundary-Layer Stability....Pages 327-338
Nonintegrable, Multiple Scale Formulations....Pages 339-349
Instability and Acoustics of the Supersonic Boundary Layer....Pages 351-360
Instability of a Three-Dimensional Supersonic Boundary Layer....Pages 361-368
Disturbances Propagation in Supersonic Boundary Layers....Pages 369-378
Resonance Interaction of Wave Trains in Supersonic Boundary Layer....Pages 379-388
Experimental Study of 3D Boundary-Layer Receptivity to Surface Vibrations....Pages 389-398
Receptivity Problems in the Weakly-Nonlinear Stability Theory at Large Reynolds Numbers....Pages 399-407
Nonlinear Excitation of Inviscid Stationary Vortex Instabilities in a Boundary-Layer Flow....Pages 409-422
Laminar-Turbulent Transition at a High Level of a Free Stream Turbulence....Pages 423-436
Back Matter....Pages 437-446

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Most fluid flows of practical importance are fully three-dimensional, so the non-linear instability properties of three-dimensional flows are of particular interest. In some cases the three-dimensionality may have been caused by a finite amplitude disturbance whilst, more usually, the unperturbed state is three-dimensional. Practical applications where transition is thought to be associated with non-linearity in a three- dimensional flow arise, for example, in aerodynamics (swept wings, engine nacelles, etc.), turbines and aortic blood flow. Here inviscid `cross-flow' disturbances as well as Tollmien-Schlichting and G?rtler vortices can all occur simultaneously and their mutual non-linear behaviour must be understood if transition is to be predicted. The non-linear interactions are so complex that usually fully numerical or combined asymptotic/numerical methods must be used.
Moreover, in view of the complexity of the instability processes, there is also a growing need for detailed and accurate experimental information. Carefully conducted tests allow us to identify those elements of a particular problem which are dominant. This assists in both the formulation of a relevant theoretical problem and the subsequent physical validation of predictions. It should be noted that the demands made upon the skills of the experimentalist are high and that the tests can be extremely sophisticated - often making use of the latest developments in flow diagnostic techniques, automated high speed data gathering, data analysis, fast processing and presentation.
Content:
Front Matter....Pages i-xvii
The Effect of Nonlinear Critical Layers on Boundary Layer Transition....Pages 1-15
Experimental Investigation of Laminar-Turbulent Transition Process in Supersonic Boundary Layer Using Controlled Disturbances....Pages 17-26
An Active Resonant Triad of Mixed Modes in a Symmetric Shear flow....Pages 27-36
Wave Packets Described by the Uniformly Valid Model of Three-Dimensional Boundary Layer....Pages 37-45
Experiments on a 2:1 Resonance in the Blasius Boundary Layer....Pages 47-54
Linear and Nonlinear Unstable 3D Waves for Boundary Layers in Differentially Heated Enclosures....Pages 55-64
Non-Linear Three-Dimensional Wave Packets in Axisymmetric Flows....Pages 65-74
The Nonlinear Evolution of Inviscid G?rtler Vortices in 3-D Boundary Layers: The Effects of Non-Dominant Viscosity in the Critical Layer....Pages 75-84
On the Secondary Instability of G?rtler Vortices in Three-Dimensional Boundary Layers....Pages 85-94
On The Nonlinear Evolution of Gortler Vortices in Curved Mixing Layers....Pages 95-104
The Nonlinear Evolution of Inviscid Secondary Instabilities of a Fully Nonlinear G?rtler Vortex Flow....Pages 105-114
Generation, Development and Interaction of Instability Modes in Swept-Wing Boundary Layer....Pages 115-132
Non-Linear Instability and Transition in Flow Near a Swept Leading Edge....Pages 133-146
Design and Control of Crossflow Instability Field....Pages 147-156
Influence of Spanwise Pressure Gradient on Transition Prediction in Transonic Flows....Pages 157-166
Nonlinear Waves in a Three-Dimensional Boundary Layer....Pages 167-176
Spiral Instability of Fanning Swirling Jets....Pages 177-186
Non-Linear Evolution of Point-Source Disturbances in an Adverse Pressure Gradient Laminar Boundary Layer....Pages 187-196
The Nonlinear Behaviour of Modulated Tollmien-Schlichting Waves....Pages 197-206
Non-Linear Instabiliy and 3-D Transition in the Flow Past a Circular Cylinder at Low Reynolds Number....Pages 207-216
Nonlinear Development of Travelling Waves in a Three-Dimensional Boundary Layer....Pages 217-226
Generation of Secondary Instability Modes by Localized Surface Suction-Blowing....Pages 227-236
Nonlinear Analysis with PSE Approach....Pages 237-246
On The Birth and Evolution of Disturbances in Three-Dimensional Boundary Layers....Pages 247-256
Nonlinear Crossflow Disturbances and Secondary Instabilities in Swept-Wing Boundary Layers....Pages 257-266
Cross-Flow Instability with Periodic Distributed Roughness....Pages 267-282
Nonlinear Transition Paths in Boundary Layers with Cross-Flow....Pages 283-297
Nonlinear Crossflow Saturation in Three-Dimensional Boundary Layers....Pages 299-308
Cross-Flow Influence on Nonlinear Tollmien-Schlichting/Vortex Interaction....Pages 309-316
On the Nonlinear Evolution of a Stationary Cross-Flow Vortex in a Fully Three-Dimensional Boundary Layer Flow....Pages 317-326
Effect of Wall Compliance on Rotating-Disc Boundary-Layer Stability....Pages 327-338
Nonintegrable, Multiple Scale Formulations....Pages 339-349
Instability and Acoustics of the Supersonic Boundary Layer....Pages 351-360
Instability of a Three-Dimensional Supersonic Boundary Layer....Pages 361-368
Disturbances Propagation in Supersonic Boundary Layers....Pages 369-378
Resonance Interaction of Wave Trains in Supersonic Boundary Layer....Pages 379-388
Experimental Study of 3D Boundary-Layer Receptivity to Surface Vibrations....Pages 389-398
Receptivity Problems in the Weakly-Nonlinear Stability Theory at Large Reynolds Numbers....Pages 399-407
Nonlinear Excitation of Inviscid Stationary Vortex Instabilities in a Boundary-Layer Flow....Pages 409-422
Laminar-Turbulent Transition at a High Level of a Free Stream Turbulence....Pages 423-436
Back Matter....Pages 437-446
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