Optimal disturbances in boundary layers subject to streamwise pressure gradient

Anatoli Tumin, David E. Ashpis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

An analysis of the non-modal growth of perturbations in a boundary layer in the presence of a streamwise pressure gradient is presented. The analysis is based on PSE equations for an incompressible fluid. Examples with Falkner-Skan profiles indicate that a favorable pressure gradient decreases the non-modal growth while an unfavorable pressure gradient leads to an increase of the amplification. It is suggested that the transient growth mechanism be utilized to choose optimal parameters of tripping elements on a low-pressure turbine (LPT) airfoil. As an example, a boundarylayer flow with a streamwise pressure gradient corresponding to the pressure distribution over a LPT airfoil is considered. It is shown that there is an optimal spacing of the tripping elements and that the transient growth effect depends on the starting point. The amplification is found to be small at the LPT.s very low Reynolds numbers, but there is a possibility to enhance the transient energy growth by means of wall cooling.

Original languageEnglish (US)
Title of host publication33rd AIAA Fluid Dynamics Conference and Exhibit
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781624100956
DOIs
StatePublished - 2003
Event33rd AIAA Fluid Dynamics Conference and Exhibit 2003 - Orlando, FL, United States
Duration: Jun 23 2003Jun 26 2003

Publication series

Name33rd AIAA Fluid Dynamics Conference and Exhibit

Other

Other33rd AIAA Fluid Dynamics Conference and Exhibit 2003
Country/TerritoryUnited States
CityOrlando, FL
Period6/23/036/26/03

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Energy Engineering and Power Technology
  • Aerospace Engineering
  • Mechanical Engineering

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