Numerical elucidation of three-dimensional problems in the chemical engineering graduate curriculum

Housam Binous; Slim Kaddeche; Ali Abdennadher; Ahmed Bellagi

doi:10.1002/cae.21756

Numerical elucidation of three-dimensional problems in the chemical engineering graduate curriculum

Housam Binous^*
, Slim Kaddeche
, Ali Abdennadher
, Ahmed Bellagi

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

4 Scopus citations

Abstract

We illustrate in the present paper how steady-state and unsteady-steady three-dimensional transport phenomena problems can be solved using the Chebyshev orthogonal collocation technique. All problems are elucidated using the ubiquitous software: MATLAB^®. The treated case studies include: (1) unsteady-state heat conduction in a parallelepiped body, (2) quenching of a brick, (3) transient diffusion of a colorant in a liquid, and (4) steady-state natural convection in an enclosure. Whenever possible, the results obtained with the spectral method are bench-marked against the analytical solution in order to validate the proposed numerical technique.

Original language	English
Pages (from-to)	866-875
Number of pages	10
Journal	Computer Applications in Engineering Education
Volume	24
Issue number	6
DOIs	https://doi.org/10.1002/cae.21756
State	Published - 1 Nov 2016

Bibliographical note

Publisher Copyright:
© 2016 Wiley Periodicals, Inc.

Keywords

MATLAB®
chebyshev polynomials
graduate-level education
momentum—heat—mass transfer
numerical methods
orthogonal collocation

ASJC Scopus subject areas

General Computer Science
Education
General Engineering

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10.1002/cae.21756

Cite this

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title = "Numerical elucidation of three-dimensional problems in the chemical engineering graduate curriculum",

abstract = "We illustrate in the present paper how steady-state and unsteady-steady three-dimensional transport phenomena problems can be solved using the Chebyshev orthogonal collocation technique. All problems are elucidated using the ubiquitous software: MATLAB{\textregistered}. The treated case studies include: (1) unsteady-state heat conduction in a parallelepiped body, (2) quenching of a brick, (3) transient diffusion of a colorant in a liquid, and (4) steady-state natural convection in an enclosure. Whenever possible, the results obtained with the spectral method are bench-marked against the analytical solution in order to validate the proposed numerical technique.",

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T1 - Numerical elucidation of three-dimensional problems in the chemical engineering graduate curriculum

AU - Binous, Housam

AU - Kaddeche, Slim

AU - Abdennadher, Ali

AU - Bellagi, Ahmed

PY - 2016/11/1

Y1 - 2016/11/1

N2 - We illustrate in the present paper how steady-state and unsteady-steady three-dimensional transport phenomena problems can be solved using the Chebyshev orthogonal collocation technique. All problems are elucidated using the ubiquitous software: MATLAB®. The treated case studies include: (1) unsteady-state heat conduction in a parallelepiped body, (2) quenching of a brick, (3) transient diffusion of a colorant in a liquid, and (4) steady-state natural convection in an enclosure. Whenever possible, the results obtained with the spectral method are bench-marked against the analytical solution in order to validate the proposed numerical technique.

AB - We illustrate in the present paper how steady-state and unsteady-steady three-dimensional transport phenomena problems can be solved using the Chebyshev orthogonal collocation technique. All problems are elucidated using the ubiquitous software: MATLAB®. The treated case studies include: (1) unsteady-state heat conduction in a parallelepiped body, (2) quenching of a brick, (3) transient diffusion of a colorant in a liquid, and (4) steady-state natural convection in an enclosure. Whenever possible, the results obtained with the spectral method are bench-marked against the analytical solution in order to validate the proposed numerical technique.

KW - MATLAB®

KW - chebyshev polynomials

KW - graduate-level education

KW - momentum—heat—mass transfer

KW - numerical methods

KW - orthogonal collocation

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M3 - Article

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SN - 1061-3773

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SP - 866

EP - 875

JO - Computer Applications in Engineering Education

JF - Computer Applications in Engineering Education

IS - 6

ER -

Numerical elucidation of three-dimensional problems in the chemical engineering graduate curriculum

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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