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Development of three-dimensional disturbances in boundary layers with suction
2000 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

A study of the stability of boundary layer flow with suction is conducted. The equations governing small three-dimensional disturbances are derived resulting in slightly modified versions of the Orr-Sommerfeld and the Squire equations. Two numerical methods are used to determine the eigenvalue spectrum of the stability equation for the wall-normal velocity. The methods include both a spectral and a pseudospectral method, together with a shooting method. The high cricical Reynolds number is confirmed and the location of the continuous spectrum is derived analytically and verified numerically. Also, a new method has been developed to include the asymptotic behaviour (in the free stream) of solutions to the Orr-Sommerfeld equation in the boundary conditions for spectral methods.

Place, publisher, year, edition, pages
Keyword [en]
Technology, Suction boundary layer, stability, three-dimensional, perturbations, spectral and pseudospectral methods, continuous, spectrum
Keyword [sv]
URN: urn:nbn:se:ltu:diva-47790ISRN: LTU-EX--00/017--SELocal ID: 54c8f14f-bb28-4dc7-beab-d70f32eea772OAI: diva2:1021119
Subject / course
Student thesis, at least 30 credits
Educational program
Civil Engineering programmes 1997-2000, master's level
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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