Chebyshev Orthogonal Collocation Technique to Solve Transport Phenomena Problems With Matlab® and Mathematica

被引：12

作者：

Binous, Housam ^{[1
]}

Shaikh, Abdullah A. ^{[1
]}

Bellagi, Ahmed ^{[2
]}

机构：

[1] King Fahd Univ Petr & Minerals, Dept Chem Engn, Dhahran 31261, Saudi Arabia

[2] Univ Monastir, Energy Engn Dept, Ecole Natl Ingenieurs Monastir, Monastir, Tunisia

来源：

COMPUTER APPLICATIONS IN ENGINEERING EDUCATION | 2015年 / 23卷 / 03期

关键词：

transport phenomena; orthogonal collocation; Chebyshev; Matlab (R); Mathematica((c)); TEACHING MODULE; LAMINAR;

D O I：

10.1002/cae.21612

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present in this pedagogical paper an alternative numerical method for the resolution of transport phenomena problems encountered in the teaching of the required course on transport phenomena in the graduate chemical engineering curricula. Based on the Chebyshev orthogonal collocation technique implemented in Matlab (R) and Mathematica((c)), we show how different rather complicated transport phenomena problems involving partial differential equations and split boundary value problems can now readily be mastered. A description of several sample problems and the resolution methodology is discussed in this paper. The objective of the incorporation of this approach is to develop the numerical skills of the graduate students at King Fahd University of Petroleum & Minerals (KFUPM) and to broaden the extent of transport-phenomena problems that can be addressed in the course. We noted with satisfaction that the students successfully adopted this numerical technique for the resolution of problems assigned as term projects. (c) 2014 Wiley Periodicals, Inc. Comput Appl Eng Educ 23:422-431, 2015; View this article online at ; DOI

引用

页码：422 / 431

页数：10

共 27 条

[1] Integration of Computational Fluid Dynamics Into a Fluid Mechanics Curriculum [J].

Adair, D. ;

Jaeger, M. .

COMPUTER APPLICATIONS IN ENGINEERING EDUCATION, 2014, 22 (01) :131-141

[2]

Arnold JH, 1944, T AM INST CHEM ENG, V40, P0361

[3]

Binous H., 2007, CHEM ENG EDUC, V41, P59

[4]

Bird R B., 2002, Transportphenomena

[5]

Brauner N., 1994, Computer Applications in Engineering Education, V2, P175

[6]

Campo A, 1998, COMPUT APPL ENG EDUC, V6, P79, DOI 10.1002/(SICI)1099-0542(1998)6:2<79::AID-CAE3>3.0.CO

[7]

2-X

[8]

Carnahan B. H. A., 1969, Applied numerical methods

[9] Computer programs for temperature in fins and slab bodies with the method of Green's functions [J].

Cole, KD .

COMPUTER APPLICATIONS IN ENGINEERING EDUCATION, 2004, 12 (03) :189-197

[10]

Deen W. M., 1998, Analysis of Transport Phenomena

← 1 2 3 →