A nonperturbative approximation for the moderate Reynolds number Navier–Stokes equations

DOI10.1073/pnas.0810578106zbMath1202.76053OpenAlexW2135626163WikidataQ37117659 ScholiaQ37117659MaRDI QIDQ3066181

Marcus Roper, Michael P. Brenner

Publication date: 9 January 2011

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.0810578106

zbMATH Keywords

analytical approximationnonlinear PDEsflow separationdrag minimization

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Stratification effects in viscous fluids (76D50)

Related Items (2)

A higher-order slender-body theory for axisymmetric flow past a particle at moderate Reynolds number ⋮ The reciprocal theorem in fluid dynamics and transport phenomena

Cites Work

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• Reciprocal relationships in viscous hydrodynamics
• Simple viscous flows: From boundary layers to the renormalization group
• Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder
• On Oseen's approximation
• On optimum design in fluid mechanics
• Averaging and renormalization for the Korteveg–deVries–Burgers equation
• On the flow past a sphere at low Reynolds number
• Extension of Goldstein's series for the Oseen drag of a sphere
• The resistance to a particle of arbitrary shape in translational motion at small Reynolds numbers

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