A RAYLEIGH–RITZ METHOD FOR NAVIER–STOKES FLOW THROUGH CURVED DUCTS

DOI10.1017/S1446181118000287zbMath1409.65070OpenAlexW2909172485MaRDI QIDQ3122032

B. Harding

Publication date: 20 March 2019

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181118000287

zbMATH Keywords

Navier-Stokes equationsRayleigh-Ritz methodDean flowcurved microfluidic duct

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Bifurcations and Dynamics in Inertial Focusing of Particles in Curved Rectangular Ducts, Dynamics of Small Particle Inertial Migration in Curved Square Ducts, Effect of inertial lift on a spherical particle suspended in flow through a curved duct, Inertial focusing of spherical particles in curved microfluidic ducts at moderate Dean numbers

Uses Software

• FEniCS

Cites Work

• Unnamed Item
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• Note on the motion of fluid in a curved pipe
• Inertial migration of a rigid sphere in three-dimensional Poiseuille flow
• The Dean equations extended to a helical pipe flow
• Taylor–Dean flow through a curved duct of square cross section
• Discontinuous Galerkin methods for the biharmonic problem