Plane recirculation flows of an incompressible fluid. I: Theory

DOI10.1134/s0015462823600323zbMath1529.76030OpenAlexW4385431192MaRDI QIDQ6167779

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Publication date: 7 August 2023

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0015462823600323

zbMATH Keywords

asymptotic solutionincompressible Navier-Stokes equationsself-similar flowPrandtl-Batchelor theoremlimiting separation flow

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Viscous vortex flows (76D17)

Related Items (2)

Plane recirculation flows of an incompressible fluid. II: Flow near a plate with a surface moving against the flow ⋮ Plane recirculation flows of an incompressible fluid. III: Evolution of two oppositely swirling vortices of equal intensity

Cites Work

• Flow past a plate with an upstream-moving surface
• The asymptotic form of the stationary separated circumfluence of a body at high Reynolds numbers
• An approximate method of determining the vorticity in the separation region as the viscosity tends to zero
• Asymptotic structure of unsteady flow over a semi-infinite plate with a moving surface
• Self-similar unsteady viscous flow
• Diffusion of two vortices
• On steady laminar flow with closed streamlines at large Reynolds number
• A proposal concerning laminar wakes behind bluff bodies at large Reynolds number
• A numerical study of steady viscous flow past a circular cylinder

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