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

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

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Abstract

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.

Item Type:Article
Uncontrolled Keywords:Crank-Nicholson method, laminar flow, orthogonal collocation, temperature profile
Subjects:T Technology > TJ Mechanical engineering and machinery
Divisions:Mechanical Engineering
ID Code:60349
Deposited By: Haliza Zainal
Deposited On:24 Jan 2017 02:54
Last Modified:09 Dec 2021 00:24

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