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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 Tang
In 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.

History

Publication status

  • Published

Journal

Computational Fluid Dynamics Journal

ISSN

1061-8562

Publisher

Japan Society of Computational Fluid Dynamics

Issue

4

Volume

10

Page range

553-556

Department affiliated with

  • Engineering and Design Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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