Two-Dimensional Analytical Solution of the Laminar Forced Convection in a Circular Duct with Periodic Boundary Condition

In the present study analytical solution for forced convection heat transfer in a circular duct with a special boundary condition has been presented, because the external wall temperature is a periodic function of axial direction. Local energy balance equation is written with reference to the fully...

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Bibliographic Details
Published in:Journal of thermodynamics 2012, Vol.2012 (2012), p.1-6
Main Authors: Astaraki, M. R., Ghiasi Tabari, N.
Format: Article
Language:English
Subjects:
Finite element analysis
Heat transfer
Studies
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Summary:In the present study analytical solution for forced convection heat transfer in a circular duct with a special boundary condition has been presented, because the external wall temperature is a periodic function of axial direction. Local energy balance equation is written with reference to the fully developed regime. Also governing equations are two-dimensionally solved, and the effect of duct wall thickness has been considered. The temperature distribution of fluid and solid phases is assumed as a periodic function of axial direction and finally temperature distribution in the flow field, solid wall, and local Nusselt number, is obtained analytically.
ISSN:1687-9244
1687-9252
DOI:10.1155/2012/879390