An asymptotic theory for the linear stability of a core–annular flow in the thin annular limit

DOI10.1017/S0022112092002878zbMath0753.76058OpenAlexW2004605045MaRDI QIDQ4021192

E. Georgiou, Charles Maldarelli, Demetrios T. Papageorgiou, David S. Rumschitzki

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1017/s0022112092002878

zbMATH Keywords

asymptotic expansiondensity stratificationliquid- liquid displacementsweakly nonlinear amplitude equationwetting layers

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible viscous fluids (76D45) Reaction effects in flows (76V05) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (11)

Using surfactants to stabilize two-phase pipe flows of core–annular type ⋮ Nonlinear dynamics of core-annular film flows in the presence of surfactant ⋮ Linear stability theory of two-layer fluid flow in an inclined channel ⋮ The axisymmetric long-wave interfacial stability of core-annular flow of power-law fluid with surfactant ⋮ Linear stability and nonlinear dynamics in a long-wave model of film flows inside a tube in the presence of surfactant ⋮ Marangoni destabilization on a core-annular film flow due to the presence of surfactant ⋮ Stability of surfactant-laden core–annular flow and rod–annular flow to non-axisymmetric modes ⋮ Stability and Breakup of Liquid Threads and Annular Layers in a Corrugated Tube with Zero Base Flow ⋮ Nonlinear stability of oscillatory core-annular flow: A generalized Kuramoto-Sivashinsky equation with time periodic coefficients ⋮ Longwave instability of two-layer dielectric fluid flows in a transverse electrostatic field ⋮ On the nonlinear interfacial instability of rotating core-annular flow

Cites Work

• Stability of core-annular flow with a small viscosity ratio
• The motion of long bubbles in tubes
• The instability of an annular thread of fluid
• Nonlinear interfacial stability of core-annular film flows
• Instability of the flow of two immiscible liquids with different viscosities in a pipe
• Two-phase displacement in Hele Shaw cells: theory
• The axisymmetric long-wave instability of a concentric two-phase pipe flow
• Short wave instability of core-annular flow
• Long wave and lubrication theories for core-annular flow
• Instability due to viscosity stratification
• Instability due to Viscosity and Density Stratification in Axisymmetric Pipe Flow

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