Temporal Linear Stability Analysis of Three- Dimensional Compressible Binary Shear Layers

Temporal linear stability analysis is performed on the three-dimensional compressible binary shear layer for density ratios ranging from 1 to 32 and convective Mach numbers up to 2. Comparison is made with the results of spatial theory. Some stability properties are shared by both approaches, for ex...

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Bibliographic Details
Published in:AIAA journal 2005-01, Vol.43 (1), p.111-123
Main Authors: Fedioun, Ivan, Lardjane, Nicolas
Format: Article
Language:English
Subjects:
Aerodynamics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic stability
Instability of shear flows
Mechanical engineering
Numerical analysis
Physics
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Summary:Temporal linear stability analysis is performed on the three-dimensional compressible binary shear layer for density ratios ranging from 1 to 32 and convective Mach numbers up to 2. Comparison is made with the results of spatial theory. Some stability properties are shared by both approaches, for example, the independence of the direction of propagation of the most unstable modes from the freestream density ratio, but other features are different: a single secondary mode appears instead of two at high compressibility. An empirical model is proposed for the wave length and phase speed of the most amplified waves. Direct numerical simulations show good agreement with linear inviscid theory for initial Reynolds numbers greater than 400. [PUBLICATION ABSTRACT]
ISSN:0001-1452
1533-385X
DOI:10.2514/1.4024