On the potential flow through membranes
type: Item
instance of: scholarly article
title: On the potential flow through membranes
zbMATH Open document ID: 0569.73087
DOI: 10.1007/BF00945301
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1985-01-01T00:00:00Z
review text: A membrane is modelled as an impermeable plane perforated by N nonintersecting holes of arbitrary radii. The interaction between the pores is investigated using a special integral representation of the Green function. The flux through each pore is determined explicitly through the system of linear algebraic equations developed for this model. Examples of specific hole configurations are considered.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 74L15
zbMATH DE Number: 3909911
zbMATH Keywords: boundary integral method
zbMATH Keywords: system of Fredholm integral equations
zbMATH Keywords: flux density
zbMATH Keywords: membrane
zbMATH Keywords: impermeable plane perforated by N nonintersecting holes
zbMATH Keywords: arbitrary radii
zbMATH Keywords: interaction between the pores
zbMATH Keywords: integral representation of the Green function
zbMATH Keywords: system of linear algebraic equations
author: V. I. Fabrikant
MaRDI profile type: Publication
cites work: Asymmetric Contact Problem Including Wear for Nonhomogeneous Half Space
cites work: Q5838364
cites work: DIFFUSION THROUGH MEMBRANES: EFFECT OF A NONZERO MEMBRANE THICKNESS
description: scientific article; zbMATH DE number 3909911