Thermal Results for Forced Heat Convection Through Elliptical Ducts

1962 ◽  
Vol 29 (1) ◽  
pp. 165-170 ◽  
Author(s):  
N. T. Dunwoody

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.

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.


1990 ◽  
Vol 13 (4) ◽  
pp. 669-676 ◽  
Author(s):  
A. K. Ghosh ◽  
A. R. Khan ◽  
L. Debnath

A study is made of an unsteady flow of an incompressible viscous fluid with embedded small inert spherical particles contained in a tube of elliptic cross-section due to a periodic pressure gradient acting along the length of the tube. The solutions for the fluid velocity and the particle velocity are obtained for large and small times. It is shown that the effect of particles on the flow is significant in the small-time solution while the large-tlme solution shows no effect of the particles on the flow.


1978 ◽  
Vol 45 (1) ◽  
pp. 1-6 ◽  
Author(s):  
H. J. Lugt ◽  
H. J. Haussling

The start from rest of a thin cylindrical body with elliptic cross section in a viscous incompressible fluid is studied numerically for various acceleration models. Force and moment coefficients are computed. The role of the starting vortices behind the leading and trailing edges in the generation of lift is investigated.


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