Fractal derivative model for air permeability in hierarchic porous media
type: Item
instance of: scholarly article
title: Fractal derivative model for air permeability in hierarchic porous media
zbMATH Open document ID: 1255.76131
DOI: 10.1155/2012/354701
author: Jie Fan
author: Ji-Huan He
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: Air permeability in hierarchic porous media does not obey Fick's equation or its modification because fractal objects have well-defined geometric properties, which are discrete and discontinuous. We propose a theoretical model dealing with, for the first time, a seemingly complex air permeability process using fractal derivative method. The fractal derivative model has been successfully applied to explain the novel air permeability phenomenon of cocoon. The theoretical analysis was in agreement with experimental results.
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 6134067
MaRDI profile type: Publication
Wikidata QID: Q58696389
full work available at URL: https://doi.org/10.1155/2012/354701
OpenAlex ID: W2133480076
cites work: Heat and moisture transfer with sorption and condensation in porous clothing assemblies and numerical simulation
cites work: Modeling heat and moisture transfer through fibrous insulation with phase change and mobile condensates
cites work: A fractal model for gas permeation through porous membranes
cites work: Solution of Transport Schemes on Fractals by Means of Green Function Renormalization — Application to Integral Quantities
cites work: A fractal model for determining oxygen effective diffusivity of gas diffusion layer under the dry and wet conditions
cites work: Q4740120
cites work: Anomalous diffusion modeling by fractal and fractional derivatives
cites work: A difference-fractal model for the permeability of fibrous porous media
cites work: On a differential equation involving Hilfer-Hadamard fractional derivative
cites work: A note on fractional derivatives and fractional powers of operators
cites work: Time-space fabric underlying anomalous diffusion
description: scientific article; zbMATH DE number 6134067