Longitudinal Permeability of Spatially Periodic Rectangular Arrays of Circular Cylinders I. A Single Cylinder in the Unit Cell

DOI<335::AID-ZAMM335>3.0.CO;2-D 10.1002/1521-4001(200205)82:5<335::AID-ZAMM335>3.0.CO;2-DzbMath1005.76087OpenAlexW2002929626MaRDI QIDQ4537541

Vladimir V. Mityushev, Pierre M. Adler

Publication date: 1 July 2002

Full work available at URL: https://doi.org/10.1002/1521-4001(200205)82:5<335::aid-zamm335>3.0.co;2-d

zbMATH Keywords

functional equationlongitudinal velocityelliptic functionsPoisson equationsymbolic calculationMathematicalow Reynolds numberNewtonian fluidmethod of successive approximationsaspect ratio of unit celleffective longitudinal permeabilityHasimoto functionspatially periodic rectangular array of circular cylinders

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05)

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Uses Software

• Mathematica