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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
Correction published on 1 December 2006, see Math. Comput. Appl. 2006, 11(3), 235.

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Math. Comput. Appl. 2005, 10(1), 79-88;

The Effects of Duct Shape on the Nusselt Number

Faculty of Mechanical Engineering, Istanbul Technical University, 34439 Gumussuyu, Istanbul, Turkey
Author to whom correspondence should be addressed.
Published: 1 April 2005
PDF [179 KB, uploaded 7 April 2016]


This article considers the effect of duct shape on the Nusselt number. In order to show the effects of duct shape on the Nusselt number, four illustrative examples are given: the heat transfer in a duct of rectangular cross-section, heat transfer in a duct of semicircular cross-section, the heat transfer in a duct of circular crosssection and heat transfer between two parallel plates. The method used in this paper is general and it can be applied al flows. It is not necessary to use thin plate analogy, first, the velocity distribution is obtained and then the temperature distribution is found. It is shown that the Nusselt numbers calculated for the four examples cited depend not only on duct shape but also on wall friction.
Keywords: Nusselt number; duct shape; wall friction Nusselt number; duct shape; wall friction
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Erdoğan, M.E.; Imrak, C.E. The Effects of Duct Shape on the Nusselt Number. Math. Comput. Appl. 2005, 10, 79-88.

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