The stability of flows in channels with small wall curvature

DOI10.1017/S0022112085003202zbMath0574.76050MaRDI QIDQ3693115

P. M. Eagles, G. A. Georgiou

Publication date: 1985

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

zbMATH Keywords

Orr-Sommerfeld equationWKB methodcritical Reynolds numbersinfinitesimal disturbanceasymptotic schemeJeffery-Hamel solutionsflows in symmetric curved-walled channelsFraenkel's small wall-curvature theorymultiple-scaling method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrodynamic stability (76E99)

Related Items (4)

Symmetry breaking in vortex-source and Jeffery—Hamel flows ⋮ On long-wave instability of thin-film flow on curved beds ⋮ Numerical computations of the flow in a finite diverging channel ⋮ On perturbations of Jeffery-Hamel flow

Cites Work

• On the solution for steady state and time dependent flows in certain channels with small wall curvature
• Non-parallel flow effects on the stability of film flow down a right circular cone
• On the effects of boundary-layer growth on flow stability
• On the stability of slowly varying flow: the divergent channel
• On the non-parallel flow stability of the Blasius boundary layer
• Supercritical flow in a divergent channel
• Non-parallel flow corrections for the stability of shear flows

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