Extension of the Prandtl–Batchelor theorem to three-dimensional flows slowly varying in one direction

DOI10.1017/S0022112010001485zbMath1193.76030OpenAlexW2076401888MaRDI QIDQ3586981

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Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1017/s0022112010001485

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Vortex flows for incompressible inviscid fluids (76B47) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Related Items (1)

Prandtl–Batchelor theorem for flows with quasiperiodic time dependence

Cites Work

• On steady laminar flow with closed streamlines at large Reynolds number
• Boundary layers whose streamlines are closed
• The quasi-cylindrical description of submerged laminar swirling jets
• An extension of Prandtl–Batchelor theory and consequences for chaotic advection
• A three-dimensional analogue of the Prandtl-Batchelor closed streamline theory
• High-Reynolds-number Batchelor-model asymptotics of a flow past an aerofoil with a vortex trapped in a cavity
• On the uniqueness of steady flow past a rotating cylinder with suction
• On steady recirculating flows

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