Conically similar viscous flows. Part 1. Basic conservation principles and characterization of axial causes in swirl-free flow

DOI10.1017/S0022112085001835zbMath0613.76031OpenAlexW2167829309MaRDI QIDQ4720956

A. F. Pillow, Ross Paull

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1017/s0022112085001835

zbMATH Keywords

singularitiesconserved quantitiesswirling flowconservation principlesfourth-order systemscalar conservation principlessixth-order non-autonomous systemswirling conically similar viscous flows

Mathematics Subject Classification ID

Diffusion (76R50) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) General theory of rotating fluids (76U05) Navier-Stokes equations (35Q30)

Related Items (7)

Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. I: One singularity ⋮ Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. II: Classification of axisymmetric no-swirl solutions ⋮ Nonconservative dynamics of vortical structures: A statistical-mechanical perspective ⋮ Long's vortex revisited ⋮ Asymptotic stability of homogeneous solutions of incompressible stationary Navier-Stokes equations ⋮ Existence of axisymmetric and homogeneous solutions of Navier-Stokes equations in cone regions ⋮ Vanishing viscosity limit for homogeneous axisymmetric no-swirl solutions of stationary Navier-Stokes equations

Cites Work

• The Round Laminar Jet

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