Table of Contents
Journal of Thermodynamics
Volume 2012, Article ID 879390, 6 pages
Research Article

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

Mechanical Engineering Department, Islamic Azad University, Dashtestan Branch, Dashtestan 7561888711, Iran

Received 7 August 2012; Revised 6 November 2012; Accepted 7 November 2012

Academic Editor: Ahmet Z. Sahin

Copyright © 2012 M. R. Astaraki and N. Ghiasi Tabari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.