Heat Transfer in a Packed-Bed Cylindrical Reactor of Elliptic Cross Section: Mathematical Modeling and Simulation

2012 ◽  
pp. 549-571 ◽  
Author(s):  
Antonio Gilson Barbosa de Lima ◽  
Laércio Gomes de Oliveira ◽  
Wagner Celso Paiva Barbosa de Lima
Keyword(s):  
Mathematical Modeling ◽  
Heat Transfer ◽  
Modeling And Simulation ◽  
Cross Section ◽  
Packed Bed ◽  
Elliptic Cross Section ◽  
Elliptic Cross ◽  
Cylindrical Reactor

Thermal Results for Forced Heat Convection Through Elliptical Ducts

1962 ◽  
Vol 29 (1) ◽  
pp. 165-170 ◽  
Author(s):  
N. T. Dunwoody
Keyword(s):  
Heat Transfer ◽  
Viscous Fluid ◽  
Cross Section ◽  
Constant Temperature ◽  
Fluid Flows ◽  
Numerical Results ◽  
Heat Convection ◽  
Elliptic Cross Section ◽  
Cross Sectional ◽  
Elliptic Cross

The purpose of the present investigation is to determine numerical results in respect of the heat transfer to the wall of a duct which has an elliptic cross section and through which a hot viscous fluid flows with a steady established laminar motion. The wall of the channel is at a constant temperature which is less than that of the entering fluid. Results for several cross-sectional eccentricities are presented and correlated.

On the Convective Heat Transfer in a Tube of Elliptic Cross Section Maintained Under Constant Wall Temperature

1986 ◽  
Vol 108 (1) ◽  
pp. 33-39 ◽  
Author(s):  
M. A. Ebadian ◽  
H. C. Topakoglu ◽  
O. A. Arnas
Keyword(s):  
Heat Transfer ◽  
Nusselt Number ◽  
Temperature Distribution ◽  
Convective Heat Transfer ◽  
Cross Section ◽  
Convective Heat ◽  
Wall Temperature ◽  
Elliptic Cross Section ◽  
Constant Wall Temperature ◽  
Elliptic Cross

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.

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