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Emissivity vs. temperature as a function of the surface state for: (top left) alumina (Al 2 O 3 ), (top right) copper, (bottom left) stainless steel and (bottom right) tantalum [10,11]. 

Emissivity vs. temperature as a function of the surface state for: (top left) alumina (Al 2 O 3 ), (top right) copper, (bottom left) stainless steel and (bottom right) tantalum [10,11]. 

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Article
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The Linac3 ion source at CERN produces lead ion beams by the vaporization of solid samples inside the internal ovens and the consequent ionization of the evaporated material in the plasma. The geometry, materials and surface state of the oven elements are critical parameters influencing the oven temperature characteristics and consequently the evap...

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Context 1
... seen in Section 4, the heat flow and the temperature gradient in steady-state conditions of the problem under study depend on the thermal conductivity and the emissivity of the materials. These properties are temperature-dependent, and available in literature for all the materials adopted in the analysis [9][10][11]. The emissivity, on the other hand, is strictly related to the surface state of the radiating bodies [10]. Fig. 8 shows the emissivity values for alumina, copper, stainless steel and tantalum as a function of temperature and surface state. It is important to underline that in the numerical analysis the data is linearly extrapolated for the higher temperatures. It is evident that, in general, the surface state consistently influences the emissivity. Nevertheless, the surface state can be challenging to assess accurately considering that it usually changes with time. The metal parts of the oven are machined without applying a finishing polishing and are then operated at high temperatures in a residual gas atmosphere with always some low level oxygen residue. Therefore, the surface conditions of the materials are expected to be between the polished and oxidized limits. ...
Context 2
... the first case study (Case 1), the surface state was considered polished and cleaned for all the components. The emissivities used, extracted from Fig. 8, are reported in Table ...
Context 3
... heat transfer between the components was modelled imposing a perfect surface-to-surface radiation, i.e. the total amount of energy exchanged inside a defined enclosure. In this case, the perfect enclosure is the whole area inside the simplified external frame, where surface- to-surface radiation occurs between the main system elements. In such enclosure the net total radiation is zero. The emissivity was imposed to the materials as a non-linear function of the temperature, according to the data from literature (Fig. 8). The boundary conditions are summa- rized in Fig. 10. Finally, the convection contribution was neglected for the reasons mentioned in Section 4, while the conduction through the thermal interfaces was estimated according to (3) (see Section ...
Context 4
... conditions of the problem under study depend on the thermal conductivity and the emissivity of the materials. These properties are temperature-dependent, and available in literature for all the materials adopted in the analysis [9][10][11]. The emissivity, on the other hand, is strictly related to the surface state of the radiating bodies [10]. Fig. 8 shows the emissivity values for alumina, copper, stainless steel and tantalum as a function of temperature and surface state. It is important to underline that in the numerical analysis the data is linearly extrapolated for the higher temperatures. It is evident that, in general, the surface state consistently influences the ...
Context 5
... In this case, the perfect enclosure is the whole area inside the simplified external frame, where surface- to-surface radiation occurs between the main system elements. In such enclosure the net total radiation is zero. The emissivity was imposed to the materials as a non-linear function of the temperature, according to the data from literature (Fig. 8). The boundary conditions are summa- rized in Fig. 10. Finally, the convection contribution was neglected for the reasons mentioned in Section 4, while the conduction through the thermal interfaces was estimated according to (3) (see Section ...
Context 6
... the first case study (Case 1), the surface state was considered polished and cleaned for all the components. The emissivities used, extracted from Fig. 8, are reported in Table ...

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