Steady-state bifurcation of a non-parallel flow involving energy dissipation over a Hartmann boundary layer

DOI10.1007/S00332-021-09752-YzbMath1476.35028arXiv2105.00742OpenAlexW3202162683MaRDI QIDQ2239304

Zhi Min Chen

Publication date: 3 November 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00742

zbMATH Keywords

vortex flowsnon-parallel flowslinear friction effect of a Hartmann layer

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Bifurcations in context of PDEs (35B32) Stability and instability of nonparallel flows in hydrodynamic stability (76E09)

Related Items (3)

Secondary flows from a linear array of vortices perturbed principally by a Fourier mode ⋮ Instability of a square eddy flow and the existence of secondary steady-state flow ⋮ Secondary steady-state and time-periodic flows from a basic flow with square array of odd number of vortices

Cites Work

• Existence and nonuniqueness of rectangular solutions of the Benard problem
• Bifurcation from simple eigenvalues
• Bifurcating steady-state solutions of the dissipative quasi-geostrophic equation in Lagrangian formulation
• Secondary instability of wall-bounded shear flows
• Instabilities in two-dimensional spatially periodic flows. Part II: Square eddy lattice
• The physical mechanism for vortex merging
• Supercritical regimes of liquid–metal fluid motions in electromagnetic fields: wall–bounded flows
• Secondary fluid flows driven electromagnetically in a two-dimensional extended duct
• Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid

This page was built for publication: Steady-state bifurcation of a non-parallel flow involving energy dissipation over a Hartmann boundary layer