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Spatially Amplifying Waves in Plane Poiseuille Flow
Author(s) -
Brevdo L.
Publication year - 1992
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19920720302
Subject(s) - hagen–poiseuille equation , reynolds number , laplace transform , flow (mathematics) , plane (geometry) , turbulence , physics , mechanics , fourier transform , range (aeronautics) , mathematical analysis , geometry , mathematics , materials science , composite material
The initial‐boundary‐value linear stability problem for two‐dimensional plane Poiseuille flow is treated by means of Fourier‐Laplace transform. Spatially amplifying waves in this flow are studied numerically for a wide range of Reynolds numbers R. It is shown that transition to turbulence may be accompanied by a selection of low frequencies in spatially amplifying nonstationary waves with small spatial undulations. No stationary spatially amplifying waves exist in this flow.