Numerical solution of extended graetz problem by orthogonal collocation and Crank-Nicholson method
The present set of themes related to the investigations of heat transfer by convection and the transport phenomenon in a cylindrical pipe in laminar flow, which is to explore the evolution of the temperature profile for a fluid flow in fully developed laminar flow. A numerical method was developed i...
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my.utm.603492021-12-09T00:24:53Z http://eprints.utm.my/id/eprint/60349/ Numerical solution of extended graetz problem by orthogonal collocation and Crank-Nicholson method Wan Omar, Wan Zaidi Ali, Belhocine TJ Mechanical engineering and machinery The present set of themes related to the investigations of heat transfer by convection and the transport phenomenon in a cylindrical pipe in laminar flow, which is to explore the evolution of the temperature profile for a fluid flow in fully developed laminar flow. A numerical method was developed in this work, for visualization of the temperature profile, whose strategy of calculation is based on the orthogonal collocation method followed by the finite difference method (Crank-Nicholson method). The calculations were effected through a FORTRAN computer program and the results show that orthogonal collocation method giving better results than Crank-Nicholson method. Columbia International Publishing 2015 Article PeerReviewed Wan Omar, Wan Zaidi and Ali, Belhocine (2015) Numerical solution of extended graetz problem by orthogonal collocation and Crank-Nicholson method. American Journal Of Heat And Mass Transfer, 2 (3). pp. 146-164. ISSN 2374-5398 https://www.scopus.com/record/display.uri?eid=2-s2.0-85043974652&origin=resultslist&sort=plf-f&src=s&st1 |
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TJ Mechanical engineering and machinery Wan Omar, Wan Zaidi Ali, Belhocine Numerical solution of extended graetz problem by orthogonal collocation and Crank-Nicholson method |
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The present set of themes related to the investigations of heat transfer by convection and the transport phenomenon in a cylindrical pipe in laminar flow, which is to explore the evolution of the temperature profile for a fluid flow in fully developed laminar flow. A numerical method was developed in this work, for visualization of the temperature profile, whose strategy of calculation is based on the orthogonal collocation method followed by the finite difference method (Crank-Nicholson method). The calculations were effected through a FORTRAN computer program and the results show that orthogonal collocation method giving better results than Crank-Nicholson method. |
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Article |
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Wan Omar, Wan Zaidi Ali, Belhocine |
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Wan Omar, Wan Zaidi Ali, Belhocine |
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Wan Omar, Wan Zaidi |
title |
Numerical solution of extended graetz problem by orthogonal collocation and Crank-Nicholson method |
title_short |
Numerical solution of extended graetz problem by orthogonal collocation and Crank-Nicholson method |
title_full |
Numerical solution of extended graetz problem by orthogonal collocation and Crank-Nicholson method |
title_fullStr |
Numerical solution of extended graetz problem by orthogonal collocation and Crank-Nicholson method |
title_full_unstemmed |
Numerical solution of extended graetz problem by orthogonal collocation and Crank-Nicholson method |
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numerical solution of extended graetz problem by orthogonal collocation and crank-nicholson method |
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Columbia International Publishing |
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2015 |
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http://eprints.utm.my/id/eprint/60349/ https://www.scopus.com/record/display.uri?eid=2-s2.0-85043974652&origin=resultslist&sort=plf-f&src=s&st1 |
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