Numerical eigenvalue analysis finds duct Poiseuille flow linearly stable up to Re=2500, with least-stable eigenmodes forming a wall boundary layer at high Re and a fitted critical perturbation amplitude scaling near Re^-0.6.
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On the three-dimensional stability of Poiseuille flow in a finite-length duct
Numerical eigenvalue analysis finds duct Poiseuille flow linearly stable up to Re=2500, with least-stable eigenmodes forming a wall boundary layer at high Re and a fitted critical perturbation amplitude scaling near Re^-0.6.