IUTAM Symposium on Nonlinear Instability and Transition in Three-Dimensional Boundary Layers

1. Front Matter

   Pages i-xvii

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2. Behaviour of oblique waves

   1. The Effect of Nonlinear Critical Layers on Boundary Layer Transition

      • M. E. Goldstein

      Pages 1-15

   2. Experimental Investigation of Laminar-Turbulent Transition Process in Supersonic Boundary Layer Using Controlled Disturbances

      • Yu. G. Ermolaev, A. D. Kosinov, N. V. Semionov

      Pages 17-26

   3. An Active Resonant Triad of Mixed Modes in a Symmetric Shear flow

      • Xuesong Wu

      Pages 27-36

   4. Wave Packets Described by the Uniformly Valid Model of Three-Dimensional Boundary Layer

      • I. V. Savenkov, E. D. Terent’ev

      Pages 37-45

   5. Experiments on a 2:1 Resonance in the Blasius Boundary Layer

      • J. J. Healey

      Pages 47-54

   6. Linear and Nonlinear Unstable 3D Waves for Boundary Layers in Differentially Heated Enclosures

      • R. A. W. M. Henkes, P. Le Quéré

      Pages 55-64

   7. Non-Linear Three-Dimensional Wave Packets in Axisymmetric Flows

      • I. V. Savenkov

      Pages 65-74

3. Görtler instability

   1. The Nonlinear Evolution of Inviscid Görtler Vortices in 3-D Boundary Layers: The Effects of Non-Dominant Viscosity in the Critical Layer

      • Andrew Dando

      Pages 75-84

   2. On the Secondary Instability of Görtler Vortices in Three-Dimensional Boundary Layers

      • S. R. Otto

      Pages 85-94

   3. On The Nonlinear Evolution of Gortler Vortices in Curved Mixing Layers

      • S. O. Seddougui, S. R. Otto

      Pages 95-104

   4. The Nonlinear Evolution of Inviscid Secondary Instabilities of a Fully Nonlinear Görtler Vortex Flow

      • N. D. Blackaby

      Pages 105-114

4. Instability and transition in swept-wing flow

   1. Generation, Development and Interaction of Instability Modes in Swept-Wing Boundary Layer

      • Y. S. Kachanov

      Pages 115-132

   2. Non-Linear Instability and Transition in Flow Near a Swept Leading Edge

      • M. Danks, D. I. A. Poll

      Pages 133-146

   3. Design and Control of Crossflow Instability Field

      • Yasuaki Kohama, Tatsuya Onodera, Yasuhiro Egami

      Pages 147-156

   4. Influence of Spanwise Pressure Gradient on Transition Prediction in Transonic Flows

      • Christian Masson, Marc Langlois, Ion Paraschivoiu

      Pages 157-166

   5. Nonlinear Waves in a Three-Dimensional Boundary Layer

      • Oleg S. Ryzhov, Eugene D. Terent’ev

      Pages 167-176

   6. Spiral Instability of Fanning Swirling Jets

      • V. Shtern, U. Dallmann

      Pages 177-186

5. Non-linear processes

   1. Non-Linear Evolution of Point-Source Disturbances in an Adverse Pressure Gradient Laminar Boundary Layer

      • A. Seifert

      Pages 187-196

   2. The Nonlinear Behaviour of Modulated Tollmien-Schlichting Waves

      • M. A. F. Medeiros, M. Gaster

      Pages 197-206

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.

• aerodynamics
• control
• design
• dynamics
• flows
• mixing
• stability
• turbines
• vortices
• waves
• fluid- and aerodynamics

• Department of Mathematics, University of Manchester, Manchester, UK

  Peter W. Duck, Philip Hall

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