A detailed nonparallel stability analysis using parabolic stability equations

Xia, Hao and Tang, Deng-Bin (2002) A detailed nonparallel stability analysis using parabolic stability equations. Computational Fluid Dynamics Journal, 10 (4). pp. 553-556. ISSN 1061-8562

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Abstract

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.

Item Type: Article
Keywords: Non-parallel; TS wave; Boundary layer; Compact difference scheme; Parabolic stability equation
Schools and Departments: School of Engineering and Informatics > Engineering and Design
Depositing User: Hao Xia
Date Deposited: 06 Feb 2012 20:41
Last Modified: 31 Jul 2013 15:16
URI: http://sro.sussex.ac.uk/id/eprint/27532
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