An analytical method for solving exact solutions of the convective heat transfer in fully developed laminar flow through a circular tube

This paper proposes an exact solution to the classical Graetz problem in terms of an infinite series represented by a nonlinear partial differential equation considering two space variables, two boundary conditions, and one initial condition. The mathematical derivation utilized the separation of va...

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Bibliographic Details
Main Authors: Belhocine, A., Wan Omar, W. Z.
Format: Article
Published: John Wiley and Sons Inc. 2017
Subjects:
Online Access:http://eprints.utm.my/id/eprint/76212/
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85017615779&doi=10.1002%2fhtj.21277&partnerID=40&md5=5a5523cf0df5290511373949e6460675
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Summary:This paper proposes an exact solution to the classical Graetz problem in terms of an infinite series represented by a nonlinear partial differential equation considering two space variables, two boundary conditions, and one initial condition. The mathematical derivation utilized the separation of variables method where several stages were completed to reach the solution to the Graetz problem.