Certain Aspect of Instability of Flow in a Channel with Expansion/Contraction

Conference paper
First Online:
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 18)

Abstract

The effect of the beginning of the roughness patch on the evolution of two-dimensional Tollmien-Schlichting waves is considered using theory and direct numerical simulations. The roughness effects may be divided into two elements: (i) change in the average position of the wall and (ii) the roughness shape. The former effect is studied by considering channel with a simple expansion/contraction. It is shown that evolution of base flow towards the plane Poiseuille flow downstream of the step is found to be represented by using slowly-decaying stationary eigenmodes, similar to that for the channel entrance flow. It is also found that the influence of sudden expansion/contraction to the stability of flow persists far downstream.

Keywords

Direct Numerical Simulation Channel Entrance Perturbation Velocity Rough Wall Order Finite Difference Scheme 
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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Ayumu Inasawa
    • 1
  • Masahito Asai
    • 1
  • Jerzy M. Floryan
    • 2
  1. 1.Tokyo Metropolitan UniversityTokyoJapan
  2. 2.The University of Western OntarioLondonCanada

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