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http://dx.doi.org/10.3795/KSME-B.2003.27.3.319

Pseudospectral Analysis of Plane Poiseuille, Plane Couette and Blasius Flow  

Choi, Snag-Kyu (한국과학기술원 기계공학과)
Chung, Myung-Kyoon (한국과학기술원 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.27, no.3, 2003 , pp. 319-325 More about this Journal
Abstract
We investigate the spectra and the pseudospectra in plane Poiseuille flow, plane Couette flow and Blasius flow. At subcritical Reynolds number, the spectra are lied strictly inside the stable complex half-plane, but the pseudospectra are lied in the unstable half-plane, reflecting the large linear transient growth that certain perturbations may excite. It means that the smooth flows may become to turbulent even though all the eigenmodes decay monotonically. We found that pseudospectra is one reason that causes subcritical transition in plane Poiseuille flow and plane Couette flow and bypass transition in Blasius flow.
Keywords
Stability; Pseudospectra; Plane Poiseuille; Plane Couette Flow; Blasius Flow;
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