On the nonlinear stability of the oscillatory viscous flow of an incompressible fluid in a curved pipe

DOI10.1017/S0022112098003279zbMATH Open0932.76023OpenAlexW2085851135MaRDI QIDQ4262127

Trudi A. Shortis, Philip Hall

Publication date: 21 March 2000

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112098003279

zbMATH Keywords

eigenvaluesFloquet theoryinner solutioncritical Taylor numberweakly nonlinear regimesinusoidal pressure gradientaxially periodic disturbancesleading-order vortex amplitude equationWKBJ perturbation solution

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear effects in hydrodynamic stability (76E30)

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