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A detailed nonparallel stability analysis using parabolic stability equations
journal contribution
posted on 2023-06-08, 07:23 authored by Hao Xia, Deng-Bin TangIn this paper the non-parallel stability analysis of three-dimensional disturbance for incompressible boundary layer flow is carried out by using the Parabolic Stability Equations (PSE). The PSE formulation takes into account the variations of the mean flow and disturbance quantities in the principal direction of flow, resulting in a space-marching procedure subject to a normalization relation, and the amplitudes of perturbations can be related to ”physical measurable” quantities, which is not possible for the parallel theory. Nonsingular mapping is used in numerical formulation. With the difference discretization in both stream-wise and normal-wise, the upwind scheme and fourth-order two points scheme are employed to solve the PSE. The computational results show clearly the evolution of three dimensional TS wave and effect of non-parallelism on the disturbance growth rates.
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Publication status
- Published
Journal
Computational Fluid Dynamics JournalISSN
1061-8562Publisher
Japan Society of Computational Fluid DynamicsIssue
4Volume
10Page range
553-556Department affiliated with
- Engineering and Design Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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