The transition Reynolds number for a plane duct
Abstract
Recent calculations indicate that the twodimensional selfoscillations branching off from the neutral curve of the linear theory exist up to a Reynolds number of 1650 but are unstable with respect to threedimensional perturbations. The principal mechanism of the instability is the parametric resonance of halffrequency threedimensional perturbations against the background of twodimensional selfoscillations. A finiteamplitude resonance triplet of such perturbations is examined here, and it is shown that the minimum Reynolds number at which steadystate threedimensional selfoscillations exist is 678. This is in agreement with experimental data on the transition Reynolds number.
 Publication:

Akademiia Nauk SSSR Doklady
 Pub Date:
 1983
 Bibcode:
 1983DoSSR.273...75G
 Keywords:

 Ducted Flow;
 Oscillating Flow;
 Reynolds Number;
 Three Dimensional Flow;
 Transition Points;
 Two Dimensional Flow;
 Computational Fluid Dynamics;
 Flow Stability;
 Turbulent Flow;
 Fluid Mechanics and Heat Transfer