Asymptotic expansions of the Biot-Savart law for a slender vortex with core variation

DOI10.1023/A:1017598528328zbMath0998.76014MaRDI QIDQ5944605

D. Margerit, J.-P. Brancher

Publication date: 16 November 2002

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationssingular integralsmethod of matched asymptotic expansionsinner expansionaxisymmetric axial-core variationBiot-Savart lawcut-off line-integral techniqueline vortexnon-circular vortex ringsslender vortex filament

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Viscous vortex flows (76D17)

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