Orthogonal collocation methods using Mathematica© in the graduate chemical engineering curriculum
ABSTRACT We present in this pedagogical paper several important aspects of the application of orthogonal collocation for solution of Chemical Engineering problems. These include: the Stefan–Maxwell diffusion; the start‐up of a Poiseuille Flow in a Newtonian Fluid; the transient heat conduction with...
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| Veröffentlicht in: | Computer applications in engineering education 2016-01, Vol.24 (1), p.101-113 |
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| container_title | Computer applications in engineering education |
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| creator | Binous, Housam Bellagi, Ahmed |
| description | ABSTRACT
We present in this pedagogical paper several important aspects of the application of orthogonal collocation for solution of Chemical Engineering problems. These include: the Stefan–Maxwell diffusion; the start‐up of a Poiseuille Flow in a Newtonian Fluid; the transient heat conduction with temperature‐dependent thermal conductivity; and the reaction‐diffusion in a drop. The presented method of resolution (i.e., orthogonal collocation) of such problems can be easily introduced in any graduate‐level chemical engineering numerical method course. Indeed, this technique has been used for the past four year at King Fahd University of Petroleum & Minerals (KFUPM) in the graduate‐level core numerical methods course called CHE 560. © 2015 Wiley Periodicals, Inc. Comput. Appl. Eng. Educ. 24:101–113, 2016; View this article online at wileyonlinelibrary.com/journal/cae; DOI 10.1002/cae.21676 |
| doi_str_mv | 10.1002/cae.21676 |
| format | Article |
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We present in this pedagogical paper several important aspects of the application of orthogonal collocation for solution of Chemical Engineering problems. These include: the Stefan–Maxwell diffusion; the start‐up of a Poiseuille Flow in a Newtonian Fluid; the transient heat conduction with temperature‐dependent thermal conductivity; and the reaction‐diffusion in a drop. The presented method of resolution (i.e., orthogonal collocation) of such problems can be easily introduced in any graduate‐level chemical engineering numerical method course. Indeed, this technique has been used for the past four year at King Fahd University of Petroleum & Minerals (KFUPM) in the graduate‐level core numerical methods course called CHE 560. © 2015 Wiley Periodicals, Inc. Comput. Appl. Eng. Educ. 24:101–113, 2016; View this article online at wileyonlinelibrary.com/journal/cae; DOI 10.1002/cae.21676</description><identifier>ISSN: 1061-3773</identifier><identifier>EISSN: 1099-0542</identifier><identifier>DOI: 10.1002/cae.21676</identifier><language>eng</language><publisher>Blackwell Publishing Ltd</publisher><subject>chemical engineering ; graduate-level education ; Jacobi polynomials ; Mathematica ; numerical methods ; orthogonal collocation ; shifted-Legendre polynomials</subject><ispartof>Computer applications in engineering education, 2016-01, Vol.24 (1), p.101-113</ispartof><rights>2015 Wiley Periodicals, Inc.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fcae.21676$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fcae.21676$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Binous, Housam</creatorcontrib><creatorcontrib>Bellagi, Ahmed</creatorcontrib><title>Orthogonal collocation methods using Mathematica© in the graduate chemical engineering curriculum</title><title>Computer applications in engineering education</title><addtitle>Comput Appl Eng Educ</addtitle><description>ABSTRACT
We present in this pedagogical paper several important aspects of the application of orthogonal collocation for solution of Chemical Engineering problems. These include: the Stefan–Maxwell diffusion; the start‐up of a Poiseuille Flow in a Newtonian Fluid; the transient heat conduction with temperature‐dependent thermal conductivity; and the reaction‐diffusion in a drop. The presented method of resolution (i.e., orthogonal collocation) of such problems can be easily introduced in any graduate‐level chemical engineering numerical method course. Indeed, this technique has been used for the past four year at King Fahd University of Petroleum & Minerals (KFUPM) in the graduate‐level core numerical methods course called CHE 560. © 2015 Wiley Periodicals, Inc. Comput. Appl. Eng. Educ. 24:101–113, 2016; View this article online at wileyonlinelibrary.com/journal/cae; DOI 10.1002/cae.21676</description><subject>chemical engineering</subject><subject>graduate-level education</subject><subject>Jacobi polynomials</subject><subject>Mathematica</subject><subject>numerical methods</subject><subject>orthogonal collocation</subject><subject>shifted-Legendre polynomials</subject><issn>1061-3773</issn><issn>1099-0542</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNo9kN1OAjEQhRujiYhe-AZ9gYX-0HZ7SRDQBOVCjZfNbFuhuj-muxvlkXwNn8wCxqs5Myff5OQgdE3JiBLCxhb8iFGp5AkaUKJ1RsSEne61pBlXip-ji7Z9I4RoyfUAFevYbZtNU0OJbVOWjYUuNDWufDq7FvdtqDf4Hrqtr5Jj4ecbhxqnFW8iuB46j23yklNiX29C7X3cI7aPMdi-7KtLdPYKZeuv_uYQPS_mT7PbbLVe3s2mqywwzmUmnAJJrKeF13muWAosCClAqIme2MJRQYGBJj73uZWSFErLQhSOCXDeOeBDND7-_Qyl35mPGCqIO0OJ2TdjUjPm0IyZTecHkYjsSIS281__BMR3IxVXwrw8LM3DSj6SxY0wjP8CVD1qWg</recordid><startdate>201601</startdate><enddate>201601</enddate><creator>Binous, Housam</creator><creator>Bellagi, Ahmed</creator><general>Blackwell Publishing Ltd</general><scope>BSCLL</scope></search><sort><creationdate>201601</creationdate><title>Orthogonal collocation methods using Mathematica© in the graduate chemical engineering curriculum</title><author>Binous, Housam ; Bellagi, Ahmed</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i2336-5d7a60ce1be98872061500ba57494cbd151a2a90e8e8c660b796b5bd25adedda3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2016</creationdate><topic>chemical engineering</topic><topic>graduate-level education</topic><topic>Jacobi polynomials</topic><topic>Mathematica</topic><topic>numerical methods</topic><topic>orthogonal collocation</topic><topic>shifted-Legendre polynomials</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Binous, Housam</creatorcontrib><creatorcontrib>Bellagi, Ahmed</creatorcontrib><collection>Istex</collection><jtitle>Computer applications in engineering education</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Binous, Housam</au><au>Bellagi, Ahmed</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Orthogonal collocation methods using Mathematica© in the graduate chemical engineering curriculum</atitle><jtitle>Computer applications in engineering education</jtitle><addtitle>Comput Appl Eng Educ</addtitle><date>2016-01</date><risdate>2016</risdate><volume>24</volume><issue>1</issue><spage>101</spage><epage>113</epage><pages>101-113</pages><issn>1061-3773</issn><eissn>1099-0542</eissn><abstract>ABSTRACT
We present in this pedagogical paper several important aspects of the application of orthogonal collocation for solution of Chemical Engineering problems. These include: the Stefan–Maxwell diffusion; the start‐up of a Poiseuille Flow in a Newtonian Fluid; the transient heat conduction with temperature‐dependent thermal conductivity; and the reaction‐diffusion in a drop. The presented method of resolution (i.e., orthogonal collocation) of such problems can be easily introduced in any graduate‐level chemical engineering numerical method course. Indeed, this technique has been used for the past four year at King Fahd University of Petroleum & Minerals (KFUPM) in the graduate‐level core numerical methods course called CHE 560. © 2015 Wiley Periodicals, Inc. Comput. Appl. Eng. Educ. 24:101–113, 2016; View this article online at wileyonlinelibrary.com/journal/cae; DOI 10.1002/cae.21676</abstract><pub>Blackwell Publishing Ltd</pub><doi>10.1002/cae.21676</doi><tpages>13</tpages></addata></record> |
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| subjects | chemical engineering graduate-level education Jacobi polynomials Mathematica numerical methods orthogonal collocation shifted-Legendre polynomials |
| title | Orthogonal collocation methods using Mathematica© in the graduate chemical engineering curriculum |
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