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...

Full description

Saved in:
Bibliographic Details
Main Authors: Wan Omar, Wan Zaidi, Ali, Belhocine
Format: Article
Published: Columbia International Publishing 2015
Subjects:
Online Access: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
Tags: Add Tag
No Tags, Be the first to tag this record!
Institution: Universiti Teknologi Malaysia
id my.utm.60349
record_format eprints
spelling 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
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic TJ Mechanical engineering and machinery
spellingShingle TJ Mechanical engineering and machinery
Wan Omar, Wan Zaidi
Ali, Belhocine
Numerical solution of extended graetz problem by orthogonal collocation and Crank-Nicholson method
description 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.
format Article
author Wan Omar, Wan Zaidi
Ali, Belhocine
author_facet Wan Omar, Wan Zaidi
Ali, Belhocine
author_sort 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
title_sort numerical solution of extended graetz problem by orthogonal collocation and crank-nicholson method
publisher Columbia International Publishing
publishDate 2015
url 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
_version_ 1720436922438909952