Faculté des Sciences appliquées
Faculté des Sciences appliquées
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BiGlobal Stability Analysis: Laminar Shock-Wave/Boundary-Layer Interactions

Niessen, Sébastien ULiège
Promotor(s) : Terrapon, Vincent ULiège
Date of defense : 21-Aug-2017 • Permalink :
Title : BiGlobal Stability Analysis: Laminar Shock-Wave/Boundary-Layer Interactions
Translated title : [fr] Analyse de stabilité BiGlobal: Interactions onde de choc/couche limite laminaire
Author : Niessen, Sébastien ULiège
Date of defense  : 21-Aug-2017
Advisor(s) : Terrapon, Vincent ULiège
Committee's member(s) : Dimitriadis, Grigorios ULiège
Hickel, Stefan 
Language : English
Number of pages : 125
Keywords : [en] BiGlobal Stability
[en] Shock-Wave/Boundary-Layer Interactions
[en] Global Mode
[en] Convective Instability
Discipline(s) : Engineering, computing & technology > Aerospace & aeronautics engineering
Research unit : Aerodynamics Group, Faculty of Aerospace Engineering, Delft University of Technology
Target public : Researchers
Professionals of domain
Institution(s) : Université de Liège, Liège, Belgique
Degree: Master en ingénieur civil en aérospatiale, à finalité spécialisée en "aerospace engineering"
Faculty: Master thesis of the Faculté des Sciences appliquées


[en] The Shock-Wave/Boundary-Layer Interaction (SWBLI) occurs in the inlet of high-speed engines and on transonic wings, and can exhibit unsteadiness. Large scale unsteadiness may cause the premature fatigue of aerodynamic structures and the instabilities of the air intakes, while small scales cause laminar-turbulent transition, leading to higher friction and thermal load. The latter small scales are studied in this work with stability theory.

The linearised Navier-Stokes equations for stability analyses are used to identify the linear eigenmode growth present in a broad range of flow applications. They present a pertinent approach to identify the origin of the unsteadiness and of the laminar-turbulent transition occurring in the SWBLI. The compressible BiGlobal stability equations are implemented and the validation of the solver with well-known Blasius flows shows excellent agreements with the literature.

The convective instability represented by the Tollmien-Schlichting waves in developing boundary layers is thoroughly analysed. A moving reference frame is used to represent the most unstable instability by one unique eigenfunction, aiming to improve the effectiveness of the BiGlobal approach drastically. Finally, the convective instabilities associated with the Kelvin-Helmholtz waves and the underlying characteristics of steady modes existent in the SWBLI are detailed through the Reynolds-Orr energy equation.



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  • Niessen, Sébastien ULiège Université de Liège > Master ingé. civ. aérospat., à fin.


Committee's member(s)

  • Dimitriadis, Grigorios ULiège Université de Liège - ULg > Département d'aérospatiale et mécanique > Interactions Fluide-Structure - Aérodynamique expérimentale
    ORBi View his publications on ORBi
  • Hickel, Stefan
  • Total number of views 228
  • Total number of downloads 1029

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