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http://dx.doi.org/10.3795/KSME-B.2003.27.6.766

On the Most Unstable Disturbance of Channel Flows and Blasius Flow  

Choi, Sang-Kyu (삼성중공업 CFD 개발)
Chung, Myung-Kyoon (한국과학기술원 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.27, no.6, 2003 , pp. 766-772 More about this Journal
Abstract
The pseudospectral method for stability analysis was used to find the most influential disturbance mode for transition of plane channel flows and Blasius flow at their critical Reynolds numbers. A number of various oblique disturbance waves were investigated for their pseudospectra and resolvent norm contours in each flow, and an exhaustive search method was employed to find the disturbing waves to which the flows become most unstable. In plane Poiseuille flow an oblique disturbance with a wavelength of 3.59h (where h is the half channel width) at an angle $28.7^{\circ}$ was found to be the most influential for the flow transition to turbulence, and in plane Couette flow it is an oblique wave with a wavelength of 3.49h at an angle of $19.4^{\circ}$. But in Blasius flow it was found that the most influential mode is a normal wave with a wavelength of $3.44{\delta}_{999}$. These results imply that the most influential disturbance mode is closely related to the fundamental acoustic wave with a certain shear sheltering in the respective flow geometry.
Keywords
Plane Poiseuille Flow; Plane Couette Flow; Blasius Flow; Pseudospectra; Transition;
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