AN ANALYSIS OF THE TWO-DIMENSIONAL TEMPERATURE DISTRIBUTION IN ECCENTRICALLY MOUNTED CYLINDERS WITH SPECIAL APPLICATION TO SODIUM-BONDED REACTOR FUEL ELEMENTS

1970 ◽  
Author(s):  
Lothar Wolf ◽  
Klaus Johannsen
Keyword(s):  
Temperature Distribution ◽  
Reactor Fuel ◽  
Two Dimensional ◽  
Fuel Elements

Nonuniformity in the accumulation of plutonium over the radius of the VVÉR-1000 reactor fuel elements and influence of the nonuniformity upon the temperature distribution in the fuel

1990 ◽  
Vol 68 (6) ◽  
pp. 461-465 ◽  
Author(s):  
T. S. Zaritskaya ◽  
L. L. Malanchenko ◽  
L. V. Matveev ◽  
V. Yu Rogozhkin ◽  
A. P. Rudik ◽  
...  
Keyword(s):  
Temperature Distribution ◽  
Reactor Fuel ◽  
Fuel Elements

An analytical solution of a two-dimensional temperature field in a hollow cylinder under a time periodic boundary condition using Fourier series

2009 ◽  
Vol 223 (8) ◽  
pp. 1889-1901 ◽  
Author(s):  
G Atefi ◽  
M A Abdous ◽  
A Ganjehkaviri ◽  
N Moalemi
Keyword(s):  
Boundary Condition ◽  
Temperature Field ◽  
Fourier Series ◽  
Temperature Distribution ◽  
Analytical Solution ◽  
Hollow Cylinder ◽  
Periodic Boundary Condition ◽  
Periodic Boundary ◽  
Separation Of Variables ◽  
Two Dimensional

The objective of this article is to derive an analytical solution for a two-dimensional temperature field in a hollow cylinder, which is subjected to a periodic boundary condition at the outer surface, while the inner surface is insulated. The material is assumed to be homogeneous and isotropic with time-independent thermal properties. Because of the time-dependent term in the boundary condition, Duhamel's theorem is used to solve the problem for a periodic boundary condition. The periodic boundary condition is decomposed using the Fourier series. This condition is simulated with harmonic oscillation; however, there are some differences with the real situation. To solve this problem, first of all the boundary condition is assumed to be steady. By applying the method of separation of variables, the temperature distribution in a hollow cylinder can be obtained. Then, the boundary condition is assumed to be transient. In both these cases, the solutions are separately calculated. By using Duhamel's theorem, the temperature distribution field in a hollow cylinder is obtained. The final result is plotted with respect to the Biot and Fourier numbers. There is good agreement between the results of the proposed method and those reported by others for this geometry under a simple harmonic boundary condition.

The temperature distribution in liquid metal cooled fuel elements

1967 ◽  
Vol 22 (5) ◽  
pp. 468-474 ◽  
Author(s):  
V. I. Subbotin ◽  
P. A. Ushakov ◽  
A. V. Zhukov ◽  
V. A. Talanov
Keyword(s):  
Temperature Distribution ◽  
Liquid Metal ◽  
Fuel Elements

Temperature Distribution in Two-Dimensional Electron Gases under a Strong Magnetic Field

2010 ◽  
Vol 40 (5) ◽  
pp. 529-532 ◽  
Author(s):  
Naomi Hirayama ◽  
Akira Endo ◽  
Kazuhiro Fujita ◽  
Yasuhiro Hasegawa ◽  
Naomichi Hatano ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Temperature Distribution ◽  
Strong Magnetic Field ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Electron Gases
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