SOLUTIONS TO THE COMBINED ENTRANCE REGION IN A CIRCULAR TUBE

1986 ◽  
Author(s):  
J. X. Ling ◽  
A. Dybbs
Keyword(s):  
Circular Tube ◽  
Entrance Region

Fluid flow in the entrance region of a circular tube

1968 ◽  
Vol 15 (1) ◽  
pp. 635-637 ◽  
Author(s):  
V. E. Gubin ◽  
V. S. Levin
Keyword(s):  
Fluid Flow ◽  
Circular Tube ◽  
Entrance Region

scholarly journals Heat transfer in the thermal entrance region of a flat duct

1975 ◽  
Vol 19 (2) ◽  
pp. 146-160 ◽  
Author(s):  
A. S. Jones
Keyword(s):  
Heat Transfer ◽  
Circular Tube ◽  
Fluid Velocity ◽  
Axial Direction ◽  
Entrance Region ◽  
Heat Transfer Mechanism ◽  
Axial Diffusion ◽  
Axial Temperature ◽  
Thermal Entrance Region ◽  
Thermal Entrance

AbstractThe problem of heat transfer in a duct or tube for large values of the Péclet number has traditionally been solved by assuming that diffusion in the axial direction is negligible. This approach was used by Graetz [2] for the circular tube and by Prins et al [5] for the flat duct to obtain a series solution for downstream temperature field.Since these series converge very slowly in the neighbourhood of the origin, some other approach is necessary in the thermal entrance region. This was supplied by Lévêque [3] and extended by Mercer [4] who matched the Lévêque solution to the eigenfunction expansion.In all these solutions it was assumed that the axial diffusion of heat was negligible, but this assumption is invalid close to the discontinuity, since in this region the axial temperature gradient is large and the fluid velocity is small, so that axial diffusion plays an important role.In this paper, the assumptions implicit in Lévêque's solution are re-examined, and the correct approximation in the neighbourhood of the discontinuity as well as the solution which matches this into Lévêque's solution are presented. In the first of these solutions, diffusion is the only heat-transfer mechanism, while in the matching solution diffusion and convection are in balance.The corresponding solutions for the case of prescribed flux on the boundary are also considered.

Plasma heat transfer during turbulent gas flow in the entrance region of a circular tube

1974 ◽  
Author(s):  
A. AMBRAZEVICIUS ◽  
A. ZUKAUSKAS ◽  
P. VALATKEVICIUS ◽  
R. KEZELIS
Keyword(s):  
Heat Transfer ◽  
Gas Flow ◽  
Circular Tube ◽  
Entrance Region ◽  
Turbulent Gas Flow
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