Predicting the Onset of Turbulence in the Presence of a Pressure Gradient.

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Abstract:

An analytical study is presented regarding the determination of a pressure gradient dependent criterion for flow transition from laminar to turbulent flow. The results obtained were derived from two parallel approaches to flow stability one of wave-dependent stability and the other of vorticity-dependent stability. In both cases, one of a variable transition Reynolds number dependent upon the ambient pressure gradient and the other one of a constant transition Reynolds number bases on the boundary-layer displacement thickness, the prediction results were either as good or better than those from available prediction methods. In addition these two criteria were used to predict transition locations on a NACA 0018 airfoil, again with favorable results. Author

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