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Three-dimensional traveling waves in a square duct
2009
Physical Review E
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A nonlinear streamwise traveling-wave solution is obtained by homotopy for square duct flow. For a particular symmetry of the perturbations, this wave comes into existence at about Re b = 600 ͑based on half-duct width and bulk speed͒ for a streamwise wave number ␣ = 0.85. The resulting four-vortex mean flow resembles the transitional flow structures observed in previous simulations.
doi:10.1103/physreve.79.065305
pmid:19658554
fatcat:qr3acuqqunfedhxdf5erjghide