Applications of PSE to Predict the Transition Position in Boundary Layers

LI Jia; LUO Ji-sheng

doi:10.3879/j.issn.1000-0887.2012.06.001

Volume 33 Issue 6

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LI Jia, LUO Ji-sheng. Applications of PSE to Predict the Transition Position in Boundary Layers[J]. Applied Mathematics and Mechanics, 2012, 33(6): 643-650. doi: 10.3879/j.issn.1000-0887.2012.06.001

Citation:

LI Jia, LUO Ji-sheng. Applications of PSE to Predict the Transition Position in Boundary Layers[J]. Applied Mathematics and Mechanics, 2012, 33(6): 643-650. doi: 10.3879/j.issn.1000-0887.2012.06.001

Citation:

LI Jia, LUO Ji-sheng. Applications of PSE to Predict the Transition Position in Boundary Layers[J]. Applied Mathematics and Mechanics, 2012, 33(6): 643-650. doi: 10.3879/j.issn.1000-0887.2012.06.001

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Applications of PSE to Predict the Transition Position in Boundary Layers

doi: 10.3879/j.issn.1000-0887.2012.06.001

Department of Mechanics,Tianjin University, Tianjin 300072, P.R.China

Received Date: 2011-07-20
Rev Recd Date: 2012-03-19
Publish Date: 2012-06-15

Abstract

Abstract

The phenomenon of laminarturbulent transition exists universally in nature and various engineering practices. The prediction of transition position was one of crucial theories and practical problems in fluid mechanics due to different natures of laminar flow and turbulent flow. Two types of disturbances imposed at the entrance were identical amplitude and wavepacket disturbances along the spanwise in incompressible boundary layers. The disturbances of identical amplitude consist of a two-dimensional (2-D) wave and two three-dimensional (3-D) waves. The parabolized stability equation (PSE) was used to research the evolution of disturbances and predict the transition position, and the results were compared with those obtained by numerical simulation. It’s revealed that the PSE method could investigate the evolution of disturbances and predict the transition position. At the same time, the speed of calculation was much faster than numerical simulation.
- transition position,
- incompressible boundary layers,
- parabolized stability equations,
- numerical simulation

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References(9)

References

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