Nonlinear inertial effects on the instability of a single long wave of finite amplitude at the interface of two viscous fluids

DOI10.1007/BF00944765zbMath0733.76024OpenAlexW1995364669MaRDI QIDQ809727

Carlos Carmona, Henry Power, Miguel Villegas

Publication date: 1991

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00944765

zbMATH Keywords

interfaceboundary layer approximationunstable flowtwo immiscible fluidsnonlinear inertial effectssingle long waveviscosity stratifications

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Reaction effects in flows (76V05) Waves for incompressible viscous fluids (76D33)

Related Items (2)

Nonlinear dynamics of two-layer channel flow with soluble surfactant below or above the critical micelle concentration ⋮ Asymptotic modelling and direct numerical simulations of multilayer pressure-driven flows

Cites Work

• Propagation of long waves of finite amplitude at the interface of two viscous fluids
• Linear stability of plane Poiseuille flow of two superposed fluids
• Instability due to viscosity stratification
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