On a three-dimensional heat transfer problem for a forced convective flow

1972 ◽  
Vol 22 (1) ◽  
pp. 15-19
Author(s):  
M. E. Podol'skii
Energies ◽  
2020 ◽  
Vol 13 (14) ◽  
pp. 3525
Author(s):  
Antonio Froio ◽  
Andrea Bertinetti ◽  
Alessandro Del Nevo ◽  
Laura Savoldi

The European demonstration fusion power reactor (EU DEMO) tokamak will be the first European fusion device to produce electricity and to include a breeding blanket (BB). In the framework of the design of the EU DEMO BB, the analysis of the heat transfer between the inlet and outlet manifold of the coolant is needed, to assess the actual cooling capability of the water entering the cooling channels, as well as the actual coolant outlet temperature from the machine. The complex, fully three-dimensional conjugate heat transfer problem is reduced here with a novel approach to a simpler one, decoupling the longitudinal and transverse scales for the heat transport by developing correlations for a conductive heat-transfer problem. While in the longitudinal direction a standard 1D model for the heat transport by fluid advection is adopted, a set of 2D finite elements analyses are run in the transverse direction, in order to lump the 2D heat conduction effects in suitable correlations. Such correlations are implemented in a 1D finite volume model with the 1D GEneral Tokamak THErmal-hydraulic Model (GETTHEM) code (Politecnico di Torino, Torino, Italy); the proposed approach thus reduces the 3D problem to a 1D one, allowing a parametric evaluation of the heat transfer in the entire blanket with a reduced computational cost. The deviation from nominal inlet and outlet temperature values, for the case of the Water-Cooled Lithium-Lead BB concept, is found to be always below 1.4 K and, in some cases, even to be beneficial. Consequently, the heat transfer among the manifolds at different temperatures can be safely (and conservatively) neglected.


2013 ◽  
Vol 815 ◽  
pp. 813-820 ◽  
Author(s):  
Guo Qiang Zhou ◽  
Li Yang ◽  
Shi Gui Lv ◽  
Li Li Liu

A three-dimensional physical and mathematical models of the heat transfer in the furnace specimen with an internal defect were established. Combined with the theory of infrared thermographic temperature measurement, using the L-M method, the inverse heat transfer problem of the boiler furnace wall bricks with crack was investigated. The size of defect was accurately estimated. Conclusions can be drawn by computational analysis, firebrick played a major role in the furnace thermal insulation effect. When firebrick fails, the inspection surface temperature is abnormal, and the temperature difference between the outer surface of the defect and that of the normal wall is an exponential relationship with the increase of defect depth.


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