Heat transfer from laminar flow in ducts with elliptic cross-section

1967 ◽  
Vol 17 (2) ◽  
pp. 96-114 ◽  
Author(s):  
J. Schenk ◽  
Bong Swy Han
Keyword(s):  
Heat Transfer ◽  
Laminar Flow ◽  
Cross Section ◽  
Elliptic Cross Section ◽  
Elliptic Cross

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.

Viscous laminar flow in a curved pipe of elliptical cross-section

1987 ◽  
Vol 184 ◽  
pp. 571-580 ◽  
Author(s):  
H. C. Topakoglu ◽  
M. A. Ebadian
Keyword(s):  
Reynolds Number ◽  
Laminar Flow ◽  
Finite Number ◽  
Secondary Flow ◽  
Cross Section ◽  
Expansion Method ◽  
Elliptic Cross Section ◽  
Elliptical Cross ◽  
Curved Pipe ◽  
Elliptic Cross

In this paper, the analysis on secondary flow in curved elliptic pipes of Topakoglu & Ebadian (1985) has been extended up to a point where the rate-of-flow expression is obtained for any value of flatness ratio of the elliptic cross-section. The analysis is based on the double expansion method of Topakoglu (1967). Therefore, no approximation is involved in any step other than the natural limitation of the finite number of calculated terms of the expansions. The obtained results are systematically plotted against the curvature of centreline of the curved pipe for different values of Reynolds number.

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