Smoothed particle hydrodynamics model for diffusion through porous media

Yi Zhu; Patrick J. Fox

doi:10.1023/A:1010769915901

Smoothed particle hydrodynamics model for diffusion through porous media

Yi Zhu, Patrick J. Fox

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

116 Scopus citations

Abstract

A smoothed particle hydrodynamics (SPH) model is presented for the study of diffusion in spatially periodic porous media. The method of SPH is formulated to solve the convection-diffusion equation for tracer diffusion under steady state and transient conditions. Solutions obtained using SPH are compared with other available solutions and the model is used to calculate diffusion coefficients of spatially periodic porous media for the steady state diffusion problem. Diffusion coefficients are then used to calculate nondimensional diffusivities of the media. The effects of media properties on the values of nondimensional diffusivity are also presented.

Original language	English (US)
Article number	273182
Pages (from-to)	441-471
Number of pages	31
Journal	Transport in Porous Media
Volume	43
Issue number	3
DOIs	https://doi.org/10.1023/A:1010769915901
State	Published - 2001

All Science Journal Classification (ASJC) codes

Catalysis
General Chemical Engineering

Access to Document

10.1023/A:1010769915901

Cite this

@article{eace9508103645c2a8c3a34db6735a21,

title = "Smoothed particle hydrodynamics model for diffusion through porous media",

abstract = "A smoothed particle hydrodynamics (SPH) model is presented for the study of diffusion in spatially periodic porous media. The method of SPH is formulated to solve the convection-diffusion equation for tracer diffusion under steady state and transient conditions. Solutions obtained using SPH are compared with other available solutions and the model is used to calculate diffusion coefficients of spatially periodic porous media for the steady state diffusion problem. Diffusion coefficients are then used to calculate nondimensional diffusivities of the media. The effects of media properties on the values of nondimensional diffusivity are also presented.",

author = "Yi Zhu and Fox, {Patrick J.}",

note = "Funding Information: The authors extend their sincere thanks to Dr. Joseph P. Morris for many insightful discussions regarding the use of SPH to model diffusion. This work was sponsored by the Air Force Office of Scientific Research, USAF, under grant number F49620-96-1-0020. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research or the U.S. Government.",

year = "2001",

doi = "10.1023/A:1010769915901",

language = "English (US)",

volume = "43",

pages = "441--471",

journal = "Transport in Porous Media",

issn = "0169-3913",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Smoothed particle hydrodynamics model for diffusion through porous media

AU - Zhu, Yi

AU - Fox, Patrick J.

N1 - Funding Information: The authors extend their sincere thanks to Dr. Joseph P. Morris for many insightful discussions regarding the use of SPH to model diffusion. This work was sponsored by the Air Force Office of Scientific Research, USAF, under grant number F49620-96-1-0020. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the Air Force Office of Scientific Research or the U.S. Government.

PY - 2001

Y1 - 2001

N2 - A smoothed particle hydrodynamics (SPH) model is presented for the study of diffusion in spatially periodic porous media. The method of SPH is formulated to solve the convection-diffusion equation for tracer diffusion under steady state and transient conditions. Solutions obtained using SPH are compared with other available solutions and the model is used to calculate diffusion coefficients of spatially periodic porous media for the steady state diffusion problem. Diffusion coefficients are then used to calculate nondimensional diffusivities of the media. The effects of media properties on the values of nondimensional diffusivity are also presented.

AB - A smoothed particle hydrodynamics (SPH) model is presented for the study of diffusion in spatially periodic porous media. The method of SPH is formulated to solve the convection-diffusion equation for tracer diffusion under steady state and transient conditions. Solutions obtained using SPH are compared with other available solutions and the model is used to calculate diffusion coefficients of spatially periodic porous media for the steady state diffusion problem. Diffusion coefficients are then used to calculate nondimensional diffusivities of the media. The effects of media properties on the values of nondimensional diffusivity are also presented.

UR - http://www.scopus.com/inward/record.url?scp=0035358969&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035358969&partnerID=8YFLogxK

U2 - 10.1023/A:1010769915901

DO - 10.1023/A:1010769915901

M3 - Article

AN - SCOPUS:0035358969

SN - 0169-3913

VL - 43

SP - 441

EP - 471

JO - Transport in Porous Media

JF - Transport in Porous Media

IS - 3

M1 - 273182

ER -

Smoothed particle hydrodynamics model for diffusion through porous media

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this