On perturbations of Jeffery-Hamel flow

DOI10.1017/S0022112088000278zbMath0648.76019OpenAlexW2102806341MaRDI QIDQ3793866

Philip G. Drazin, W. H. H. Banks, Maria B. Zaturska

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1017/s0022112088000278

zbMATH Keywords

perturbation theoryexact solutionspitchfork bifurcationJeffery-Hamel flows

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30) Basic methods in fluid mechanics (76M99)

Related Items (23)

The Jeffery–Hamel similarity solution and its relation to flow in a diverging channel ⋮ Symmetry breaking in vortex-source and Jeffery—Hamel flows ⋮ Hermite-Padé approximation approach to MHD Jeffery-Hamel flows ⋮ On the stationary Navier-Stokes equations in the half-plane ⋮ Non-uniqueness and bifurcation in annular and planar channel flows ⋮ Global instabilities in diverging channel flows ⋮ Midplane-symmetry breaking in the flow between two counter-rotating disks ⋮ Numerical-analytical investigation of multimodal solutions of the Jeffery-Hamel problem for a convergent channel ⋮ Numerical computations of the flow in a finite diverging channel ⋮ On low Reynolds number optimization of non‐linear partial differential equations for <scp>convergent–divergent</scp> engulfment: A numerical result ⋮ A note on improved homotopy analysis method for solving the Jeffery-Hamel flow ⋮ Multiple solutions for the laminar flow in a porous pipe with suction at slowly expanding or contracting wall ⋮ Nonlinear development of flow in channels with non-parallel walls ⋮ Stability study for the MHD problem in perforated and parallel walls ⋮ Temporal stability of small disturbances in MHD Jeffery-Hamel flows ⋮ Homotopy analysis for boundary layer flow of a micropolar fluid through a porous channel ⋮ On transition to chaos in two-dimensional channel flow symmetrically driven by accelerating walls ⋮ On the stability of the Jeffery–Hamel flow ⋮ Entry flow in a channel. ⋮ Series solution of nanofluid flow and heat transfer between stretchable/shrinkable inclined walls ⋮ On quasi‐steady laminar flow separation in the upper airways ⋮ Effect of arbitrary magnetic Reynolds number on MHD flows in convergent‐divergent channels ⋮ The converging flow of viscoplastic fluid in a wedge or cone

Cites Work

• The calculation of eigenvalues for the stationary perturbation of Poiseuille flow
• The stability of flows in channels with small wall curvature
• Local similarity solutions and their limitations

This page was built for publication: On perturbations of Jeffery-Hamel flow