An analytical solution of the diffusion- convection equation over a finite domain

Mohammad Farrukh N. Mohsen; Mohammed H. Baluch

doi:10.1016/0307-904X(83)90084-7

An analytical solution of the diffusion- convection equation over a finite domain

Mohammad Farrukh N. Mohsen^*, Mohammed H. Baluch

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

22 Scopus citations

Abstract

Numerical solutions to the diffusion-convection equation are usually evaluated through comparison with analytical solutions in one dimension. Literature survey indicates the most frequently used analytical solution is one derived for asemi-infinite domain. This paper presents an analytical solution to this problem over a finite domain. Comparison is made with a solution to a mathematically similar problem in heat conduction with radiation.

Original language	English
Pages (from-to)	285-287
Number of pages	3
Journal	Applied Mathematical Modelling
Volume	7
Issue number	4
DOIs	https://doi.org/10.1016/0307-904X(83)90084-7
State	Published - Aug 1983

Keywords

analytical solution
diffusion-convection equation.

ASJC Scopus subject areas

Modeling and Simulation
Applied Mathematics

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10.1016/0307-904X(83)90084-7

Cite this

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title = "An analytical solution of the diffusion- convection equation over a finite domain",

abstract = "Numerical solutions to the diffusion-convection equation are usually evaluated through comparison with analytical solutions in one dimension. Literature survey indicates the most frequently used analytical solution is one derived for asemi-infinite domain. This paper presents an analytical solution to this problem over a finite domain. Comparison is made with a solution to a mathematically similar problem in heat conduction with radiation.",

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author = "Mohsen, \{Mohammad Farrukh N.\} and Baluch, \{Mohammed H.\}",

year = "1983",

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AU - Mohsen, Mohammad Farrukh N.

AU - Baluch, Mohammed H.

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N2 - Numerical solutions to the diffusion-convection equation are usually evaluated through comparison with analytical solutions in one dimension. Literature survey indicates the most frequently used analytical solution is one derived for asemi-infinite domain. This paper presents an analytical solution to this problem over a finite domain. Comparison is made with a solution to a mathematically similar problem in heat conduction with radiation.

AB - Numerical solutions to the diffusion-convection equation are usually evaluated through comparison with analytical solutions in one dimension. Literature survey indicates the most frequently used analytical solution is one derived for asemi-infinite domain. This paper presents an analytical solution to this problem over a finite domain. Comparison is made with a solution to a mathematically similar problem in heat conduction with radiation.

KW - analytical solution

KW - diffusion-convection equation.

UR - https://www.scopus.com/pages/publications/0020800432

U2 - 10.1016/0307-904X(83)90084-7

DO - 10.1016/0307-904X(83)90084-7

M3 - Article

AN - SCOPUS:0020800432

SN - 0307-904X

VL - 7

SP - 285

EP - 287

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

IS - 4

ER -

An analytical solution of the diffusion- convection equation over a finite domain

Abstract

Keywords

ASJC Scopus subject areas

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