Possibility of describing the nonlinear stage of subharmonic transition within the framework of amplitude equations
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In order to determine the limits of applicability of Craik's model, the results of calculations obtained in accordance with this model are compared with the conclusions of the more exact theory of secondary instability proposed by Herbert and the results of direct numerical simulation of laminar-turbulent transition. An analysis of the results obtained shows that Craik's model describes the development of perturbation adequately only up to the amplitudes of the order of 10−3 times the free-stream velocity.
KeywordsFluid Dynamics Direct Numerical Simulation Exact Theory Amplitude Equation Secondary Instability
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