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Numerical elucidation of three‐dimensional problems in the chemical engineering graduate curriculum
Author(s) -
Binous Housam,
Kaddeche Slim,
Abdennadher Ali,
Bellagi Ahmed
Publication year - 2016
Publication title -
computer applications in engineering education
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.478
H-Index - 29
eISSN - 1099-0542
pISSN - 1061-3773
DOI - 10.1002/cae.21756
Subject(s) - enclosure , steady state (chemistry) , parallelepiped , quenching (fluorescence) , natural convection , thermal conduction , mechanics , transient (computer programming) , computer science , collocation (remote sensing) , chebyshev polynomials , mechanical engineering , mathematics , convection , thermodynamics , mathematical analysis , engineering , physics , chemistry , geometry , optics , telecommunications , machine learning , fluorescence , operating system
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: M ATLAB ® . 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. © 2016 Wiley Periodicals, Inc. Comput Appl Eng Educ 24:866–875, 2016; View this article online at wileyonlinelibrary.com/journal/cae ; DOI 10.1002/cae.21756