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Heat Transfer Research
Facteur d'impact: 0.404 Facteur d'impact sur 5 ans: 0.8 SJR: 0.264 SNIP: 0.504 CiteScore™: 0.88

ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v34.i3-4.130
11 pages

An Exact Solution for Fully Developed Temperature Distribution in Laminar Steady Forced Convection Inside Circular Tubes with Uniform Wall Temperature

Kamel Hooman
Mechanical Engineering Department, Persian Gulf University, Bushehr 75168, Iran


In this paper the fully developed temperature distribution in laminar steady forced convection inside circular tubes with uniform wall temperature has been obtained using an exact analytical procedure. Up to now, the procedure for obtaining the temperature profile was a trial and error method. Kakac, Shah, and Aung [1], have reported an unpublished paper that proposed the solution in the form of a power series (cited in [1]). Any of the above processes seems quite sufficient to find the Nusselt number. However, a strictly exact analytical procedure does not exist. The aim of the present paper is to fill this gap in the literature. A numerical solution is also reported here. To achieve this goal a finite difference backward scheme with the truncation error of O(0.001) is utilized. It is observed that the results agree perfectly with those found by analytical solution. The agreement between the results of these two methods — numerical and analytical — left no suspicion that our analytical solution is the correct answer of the problem published for the first time.