Gas and liquid transport in porous media with fractal geometry
type: Item
instance of: scholarly article
title: Gas and liquid transport in porous media with fractal geometry
zbMATH Open document ID: 0811.76086
DOI: 10.1007/BF01051610
author: O. Yu. Dinariev
published in: Fluid Dynamics
publication date: 1994-04-12T00:00:00Z
review text: The article is a nice attempt to construct a bridge between the fractal geometry and porous materials, and as such will be of interest to experts in many aspects of analytical sciences. In particular, it tries to use the mathematical tools of fractal geometry to determine the flow pattern of gases and liquids in a porous medium when the pore distribution may be of various types. The analysis of flow through porous media is based on the classical Darcy law. It has been pointed out how Darcy law can be generalized by using the ideas of fractal geometry. Attempts have also been made to generalize the ideas of porosity, viscosity, pore pressure, etc. from the view point of fractal geometry. In short, the paper is more towards the application of the fractal geometry to porous media than towards the solution of a specific problem of the latter area.
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 536779
zbMATH Keywords: topological dimension
zbMATH Keywords: metric structure
zbMATH Keywords: smooth manifold
zbMATH Keywords: Cantor set
zbMATH Keywords: Koch curve
zbMATH Keywords: generalized Darcy law
zbMATH Keywords: Darcy law
MaRDI profile type: Publication
cites work: Q4209136
cites work: Q4154814
cites work: On the quadratic mapping \(z\rightarrow z^{2}-\mu \) for complex \(\mu \) and \(z\): the fractal structure of its set, and scaling
cites work: Q5335321
cites work: Transport processes in fractals—I. Conductivity and permeability of a leibniz packing in the lubrication limit
description: scientific article; zbMATH DE number 536779