The continuous spectrum of the Orr-Sommerfeld equation. II - Eigenfunction expansions
摘要：
The expansion of an arbitrary two-dimensional solution of the linearized stream-function equation in terms of the discrete and continuum eigenfunctions of the Orr-Sommerfeld equation is discussed for flows in the half-space, y ε [0, [infty infinity]). A recent result of Salwen is used to derive a biorthogonality relation between the solution of the linearized equation for the stream function and the solutions of the adjoint problem.
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关键词：
Computational Fluid Dynamics Continuous Spectra Eigenvalues Orr-Sommerfeld Equations Two Dimensional Flow Flow Stability Half Spaces Linear Equations Navier-Stokes Equation Stream Functions (Fluids
DOI：
10.1017/S0022112081002991
被引量：
年份：
1981
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