Secondary instabilities of interfacial waves due to coupling with a long wave mode in a two-layer Couette flow

DOI10.1016/S0167-2789(98)00260-7zbMath0952.76504MaRDI QIDQ1962440

Pierre Barthelet, François Charru

Publication date: 31 January 2000

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

travelling wave solutionsEckhaus instabilityperiodic wave traintwo-layer Couette flowstability of interfacial waves

Mathematics Subject Classification ID

Experimental work for problems pertaining to fluid mechanics (76-05) Interfacial stability and instability in hydrodynamic stability (76E17)

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Linear stability of a two-layer film flow down an inclined channel: A second-order weighted residual approach ⋮ Traveling and spiral waves for sequential flames with translation symmetry: coupled CGL-Burgers equations

Cites Work

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• The Eckhaus instability for traveling waves
• Benjamin-Feir and Eckhaus instabilities with Galilean invariance: The case of interfacial waves in viscous shear flows
• Shear-flow instability at the interface between two viscous fluids
• Stability of finite-amplitude convection
• A Stability Criterion for Envelope Equations
• Derivation of amplitude equations and analysis of sideband instabilities in two-layer flows
• ‘Phase diagram’ of interfacial instabilities in a two-layer Couette flow and mechanism of the long-wave instability
• The disintegration of wave trains on deep water Part 1. Theory
• Instability due to viscosity stratification
• The Propagation of Nonlinear Wave Envelopes

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