Abstract

The correlations between the characteristic values of the three dimensional boundary layer and the characteristics of the cross-flow instability have studied by a linear stability analysis of the Falkner-Skan-Cooke boundary layers. Several parameters to predict the critical point of the cross-flow instability and prediction functions of the critical Reynolds number are suggested. It has been found that new parameter defined in this study is available to predict the critical point of the cross-flow instability. It is also shown that the shape factor obtained from the velocity profile of the cross-flow velocity component and the non-dimensional cross-flow velocity at the inflection point of the cross-flow velocity profile are available to predict the critical Reynolds number. The wave length of the critical disturbance in the cross-flow direction has been found to be about 3-4 times as long as the 1% boundary layer thickness of the cross-flow velocity profile.

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