Optimum shape and dimensions of ducts for convective heat transfer in laminar flow at constant wall temperature

2000 ◽  
Vol 43 (5) ◽  
pp. 767-775 ◽  
Author(s):  
Alper Yilmaz ◽  
Orhan Büyükalaca ◽  
Tuncay Yilmaz
1986 ◽  
Vol 108 (1) ◽  
pp. 33-39 ◽  
Author(s):  
M. A. Ebadian ◽  
H. C. Topakoglu ◽  
O. A. Arnas

The convective heat transfer problem along the portion of a tube of elliptic cross section maintained under a constant wall temperature where hydrodynamically and thermally fully developed flow conditions prevail is solved in this paper. The successive approximation method is used for the solution utilizing elliptic coordinates. Analytical expressions for temperature distribution and Nusselt number corresponding to the first cycle of approximation are obtained in terms of the ellipticity of the cross section. In the case of a circular section, the first cycle approximation of the Nusselt number is obtained as 3.7288 compared to the exact value of 3.6568. Representative temperature distribution curves are plotted and compared to those corresponding with constant wall heat flux conditions.


2005 ◽  
Author(s):  
Shuang-Ying Wu ◽  
Yan Chen ◽  
You-Rong Li ◽  
Dan-Ling Zeng

Based on the first and second thermodynamic laws, a new systematic approach to study in detail the exergy transfer processes of forced convective heat transfer through a duct with constant wall temperature for fully developed turbulent flow is introduced. Some definition formula of the local and mean convective exergy transfer coefficient, convective exergy resistance, exergy flux and exergy-transfer Nusselt number etc have been provided and their new generalized expressions are derived. By reference to smooth duct, the numerical results of exergy transfer are obtained, the effect of Reynolds number and different cross-sectional position in the duct on exergy transfer process is analyzed. In addition, a comparison of the results of exergy transfer with that of energy transfer is also discussed.


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