A FRACTAL MODEL OF POWER-LAW FLUID THROUGH CHARGED FIBROUS POROUS MEDIA BY USING THE FRACTIONAL-DERIVATIVE THEORY

DOI10.1142/S0218348X22500724zbMath1494.76090OpenAlexW4210325367MaRDI QIDQ5864158

Yupeng Li, Gongbo Long, Boqi Xiao

Publication date: 3 June 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22500724

zbMATH Keywords

power-law fluidfractal geometryelectric double layerzeta potentialseepage flowgeneralized Darcy lawfibrous porous mediumcapillary bundle model

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Flows in porous media; filtration; seepage (76S05) Fractional derivatives and integrals (26A33) Magnetohydrodynamics and electrohydrodynamics (76W05) Fractals (28A80)

Related Items (4)

A FRACTAL MODEL FOR GAS DIFFUSION IN DRY AND WET FIBROUS MEDIA WITH TORTUOUS CONVERGING–DIVERGING CAPILLARY BUNDLE ⋮ ANALYSIS OF THERMAL CONDUCTIVITY OF DAMAGED TREE-LIKE BIFURCATION NETWORK WITH FRACTAL ROUGHENED SURFACES ⋮ A NOVEL FRACTAL MODEL FOR GAS DIFFUSION COEFFICIENT IN DRY POROUS MEDIA EMBEDDED WITH A DAMAGED TREE-LIKE BRANCHING NETWORK ⋮ FRACTAL ANALYSIS FOR THERMAL CONDUCTIVITY OF DUAL POROUS MEDIA EMBEDDED WITH ASYMMETRIC TREE-LIKE BIFURCATION NETWORKS

Cites Work

• Unnamed Item
• Unnamed Item
• The effective thermal conductivity of porous media based on statistical self-similarity
• Remarks on fractional derivatives
• Heat conduction in fractal tree-like branched networks
• A fractal permeability model for bi-dispersed porous media
• Application of fractal fractional derivative of power law kernel \((^{FFP}_0D_x^{\alpha,\beta})\) to MHD viscous fluid flow between two plates
• A spatial fractional seepage model for the flow of non-Newtonian fluid in fractal porous medium
• A space fractional constitutive equation model for non-Newtonian fluid flow
• Numerical simulation of the transient heat and liquid moisture transfer through porous textiles with consideration of electric double layer
• A difference-fractal model for the permeability of fibrous porous media
• A FRACTAL MODEL FOR NUCLEATE POOL BOILING OF NANOFLUIDS AT HIGH HEAT FLUX INCLUDING CHF
• ON THE RIEMANN-LIOUVILLE FRACTIONAL CALCULUS AND SOME RECENT APPLICATIONS
• A NEW ANALYTICAL MODEL FOR HEAT TRANSFER IN POOL BOILING
• Permeability of three-dimensional models of fibrous porous media
• A FRACTAL MODEL FOR PREDICTING THE EFFECTIVE THERMAL CONDUCTIVITY OF ROUGHENED POROUS MEDIA WITH MICROSCALE EFFECT
• A FRACTAL-MONTE CARLO APPROACH TO MODEL OIL AND WATER TWO-PHASE SEEPAGE IN LOW-PERMEABILITY RESERVOIRS WITH ROUGH SURFACES
• A FRACTAL MODEL FOR CAPILLARY FLOW THROUGH A SINGLE TORTUOUS CAPILLARY WITH ROUGHENED SURFACES IN FIBROUS POROUS MEDIA
• A FRACTAL MODEL FOR PREDICTING OXYGEN EFFECTIVE DIFFUSIVITY OF POROUS MEDIA WITH ROUGH SURFACES UNDER DRY AND WET CONDITIONS
• A NOVEL MODEL FOR EFFECTIVE THERMAL CONDUCTIVITY OF TREE-LIKE BRANCHING NETWORK WITH FRACTAL ROUGHENED SURFACES
• AN INVESTIGATION ON SPONTANEOUS IMBIBITION IN TREE-LIKE BRANCHING NETWORK WITH FRACTAL ROUGHENED SURFACES
• A NOVEL PERMEABILITY MODEL IN DAMAGED TREE-LIKE BIFURCATING NETWORKS CONSIDERING THE INFLUENCE OF ROUGHNESS
• A NOVEL FRACTAL MODEL FOR THE INVASION DEPTH OF FLUID THROUGH THE TORTUOUS CAPILLARY BUNDLE WITH ROUGHENED SURFACES IN POROUS MEDIA
• ANALYSIS OF PERMEABILITY EVOLUTION CHARACTERISTICS BASED ON DUAL FRACTAL COUPLING MODEL FOR COAL SEAM
• A FRACTAL MODEL FOR WATER FLOW THROUGH UNSATURATED POROUS ROCKS

This page was built for publication: A FRACTAL MODEL OF POWER-LAW FLUID THROUGH CHARGED FIBROUS POROUS MEDIA BY USING THE FRACTIONAL-DERIVATIVE THEORY