Three-dimensional spatial normal modes in compressible boundary layers

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141

作者：

TUMIN，ANATOLI

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摘要：

Three-dimensional spatially growing perturbations in a two-dimensional compressible boundary layer are considered within the scope of linearized Navier–Stokes equations. The Cauchy problem is solved under the assumption of a finite growth rate of the disturbances. It is shown that the solution can be presented as an expansion into a biorthogonal eigenfunction system. The result can be used in a decomposition of flow fields derived from computational studies when pressure, temperature, and all the velocity components, together with some of their derivatives, are available. The method can also be used if partial data are available whena prioriinformation may be utilized in the decomposition algorithm.

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关键词：

Theoretical or Mathematical/ boundary layers compressible flow Navier-Stokes equations/ three-dimensional spatial normal modes compressible boundary layers linearized Navier-Stokes equations Cauchy problem biorthogonal eigenfunction system decomposition flow fields/ A4715C Laminar boundary layers A4710 General fluid dynamics theory, simulation and other computational methods A4740 Compressible flows shock and detonation phenomena