Nonparallel Wave Instability Analysis of Boundary-Layer Flows
An order-of-magnitude approach is employed to analyze the linear nonparallel wave instability of boundary-layer flows. This analysis removes the restriction imposed by previous investigators on the weak dependence of the streamwise variation of disturbance quantities. A superposition technique along with a modified Thomas transformation is employed to solve the resulting nonhomogeneous equation for the amplitude function of the disturbance without the use of an adjoint eigenfunction, which is needed in conventional approaches. All of the eigenfunctions are treated in their general forms. The growing rate of the disturbance intensity is found to depend on both streamwise and transverse coordinates.
S. Lee et al., "Nonparallel Wave Instability Analysis of Boundary-Layer Flows," Numerical Heat Transfer, Taylor & Francis, Jan 1987.
The definitive version is available at http://dx.doi.org/10.1080/10407788708913591
Mechanical and Aerospace Engineering
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