An approximate numerical solution to the Graetz problem with constant wall temperature
by Ali Belhocine
International Journal of Computing Science and Mathematics (IJCSM), Vol. 8, No. 1, 2017

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, is commonly called the Graetz problem, 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 visualisation of the temperature profile in the fluid flow, 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.

Online publication date: Tue, 21-Mar-2017

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