Contributions to the nonlinear theory of stability of viscous flow in pipes and between rotating cylinders

DOI10.1007/BF00250825zbMath0234.76035OpenAlexW2023032598MaRDI QIDQ2551720

Daniel D. Joseph, Wen-Liang Hung

Publication date: 1971

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250825

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Boundary-layer theory, separation and reattachment, higher-order effects (76D10)

Related Items

Finite amplitude instability thresholds in penetrative convection, Exchange of stabilities, symmetry, and nonlinear stability, Flow regimes in a simplified Taylor-Couette-type flow model, Unconditional nonlinear stability in penetrative convection, Global stability of spiral flow. Part 2, Capturing the edge of chaos as a spectral submanifold in pipe flows, Convective instability of a micropolar fluid layer by the method of energy, The stability of uniformly accelerated flows with application to convection driven by surface tension, The Stability of Oscillatory Stokes Layers, Extension to nonlinear stability theory of the circular Couette flow, Linear stability of slip pipe flow, On the pointwise stability of a viscous liquid between rotating coaxial cylinders, On the pointwise stability of a viscous liquid between rotating coaxial cylinders, Linear stability of modulated circular Couette flow, Patterned ground formation and penetrative convection in porous media, Penetrative convection in a micropolar fluid, Energy stability of modulated circular Couette flow, Universal stability of thermo-magneto-micropolar fluid motions, Stability of Couette flow between two rotating cylinders, Energy stability theory for free-surface problems: buoyancy-thermocapillary layers, Nonlinear evolution and breakdown in unstable boundary layers, A framework for input–output analysis of wall-bounded shear flows

Cites Work

• Unnamed Item
• On the stability of viscous fluid motions
• Nonlinear stability of the Boussines q equations by the method of energy
• Bounds on the transport of mass and momentum by turbulent flow between parallel plates
• Transverse Velocity Components in Fully Developed Unsteady Flows
• Transition in circular Couette flow
• Secondary flows and fluid instability between rotating cylinders
• Stability of Poiseuille flow in pipes, annuli, and channels
• Über notwendige und hinreichende Kriterien für die Stabilität von Strömungen
• Global stability of spiral flow
• Instability of the flow between rotating cylinders: the wide-gap problem