Solutions for two coupled Stokes and Darcy flows around and in spheroidal inclusions

DOI10.1007/s10665-021-10202-7zbMath1482.76119OpenAlexW4205145392MaRDI QIDQ2074264

Yanyan Li

Publication date: 7 February 2022

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

Full work available at URL: https://doi.org/10.1007/s10665-021-10202-7

zbMATH Keywords

series solutionspheroidal inclusioneffective porous medium permeabilityfluid-solid interface conditionPapkovich-Neuber formulation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Stokes and related (Oseen, etc.) flows (76D07)

Cites Work

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• Non-homogeneous media and vibration theory
• General solutions of the Stokes' flow equations
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• Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films
• On the Boundary Condition at the Surface of a Porous Medium
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Slow flow through a periodic array of spheres
• Stokes flow through an array of rectangular fibers
• Creeping flow through cubic arrays of spherical bubbles
• Stokes slip flow through square and triangular arrays of circular cylinders
• Stokes flow through a rectangular array of circular cylinders

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