Global stability of multiple solutions in plane sudden-expansion flow

DOI10.1017/jfm.2012.184zbMath1248.76060OpenAlexW2036002152MaRDI QIDQ2907197

Daniel Lanzerstorfer, Hendrik C. Kuhlmann

Publication date: 7 September 2012

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

Full work available at URL: https://doi.org/10.1017/jfm.2012.184

zbMATH Keywords

instabilitytransition to turbulence

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Transition to turbulence (76F06) Stability and instability of nonparallel flows in hydrodynamic stability (76E09)

Related Items (7)

A pressure-based velocity decomposition procedure for the incompressible Navier-Stokes equations ⋮ Parametric analysis of steady bifurcations in 2D incompressible viscous flow with high order algorithm ⋮ The solutions for the flow of micropolar fluid through an expanding or contracting channel with porous walls ⋮ Transition to asymmetric flow in a symmetric sudden expansion: hydrodynamics and MHD cases ⋮ Symmetry breaking and preliminary results about a Hopf bifurcation for incompressible viscous flow in an expansion channel ⋮ Transition mechanisms in a boundary layer controlled by rotating wall-normal cylindrical roughness elements ⋮ Bi-global stability of supersonic backward-facing step flow

Cites Work

• Stability and existence of multiple solutions for viscous flow in suddenly enlarged channels
• The dynamics of a laminar flow in a symmetric channel with a sudden expansion
• Global stability of the two-dimensional flow over a backward-facing step
• Three-dimensional instability of the flow over a forward-facing step
• On the three-dimensional instability of strained vortices
• A weakly nonlinear analysis of the dynamics of a viscous flow in a symmetric channel with a sudden expansion
• Three-dimensional centrifugal-type instabilities of two-dimensional flows in rotating systems
• Viscous flow in a slightly asymmetric channel with a sudden expansion
• Bifurcations of two-dimensional channel flows
• Three-dimensional centrifugal-type instabilities in inviscid two-dimensional flows
• Further contributions on the two-dimensional flow in a sudden expansion
• Bifurcation of Low Reynolds Number Flows in Symmetric Channels
• Effect of deceleration on jet instability
• Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
• Structural instability of the bifurcation diagram for two-dimensional flow in a channel with a sudden expansion
• Side‐wall effects on the bifurcation of the flow through a sudden expansion
• Elliptic instability in two-dimensional flattened Taylor–Green vortices

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