Numerical solution of extended graetz problem by orthogonal collocation and Crank-Nicholson method

• Main Authors: Wan Omar, Wan Zaidi, Ali, Belhocine
• Format: Article
• Published: Columbia International Publishing 2015
• Subjects: TJ Mechanical engineering and machinery
• 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
• Institution: Universiti Teknologi Malaysia

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.