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R<br />

Torn<br />

<br />

2 2<br />

ATlor ( TTWn T )( TTWn T<br />

)<br />

65<br />

1<br />

(3.77)<br />

Where ATlor is outer surface area of a lump for radiation calculation. The emissivity of<br />

the tube wall (Polyethylene) is given as 0.85 [59]. The outer surface temperature can be<br />

replaced by the HADT wall temperature as discussed above.<br />

Due to view factor for radiation [55], the basic cylindrical diameter of the HADT outer<br />

surface 19.3 mm (0.0193 m) is chosen as the area for the surface radiation calculation.<br />

3.5.5 Heat storage in air of the lump<br />

QTastn , heat storage in this air lump, may be calculated as:<br />

dTTan dTTan<br />

Q Tastn mTlacTan ( TaVTl<br />

) cTan<br />

(3.78)<br />

dt dt<br />

Where Tla m is air mass in this lump and V Tl is the internal capacity of a HADT lump<br />

which is also the volume of air in this lump.<br />

Substituting above expressions into Eq. (3.67) and rearranging gives:<br />

T<br />

Tan<br />

TTWn<br />

ATcs TacTanu<br />

TTTa ( n1)<br />

RTicn<br />

d<br />

1<br />

mTlacTan ATcs TacTanuT<br />

dt R<br />

<br />

<br />

<br />

Substituting above expressions into the Eq. (3.68) and rearranging gives:<br />

T<br />

TWn<br />

Q<br />

<br />

Thn<br />

TTan <br />

R<br />

T<br />

<br />

R<br />

T<br />

<br />

R<br />

1<br />

R<br />

1<br />

<br />

R<br />

1<br />

<br />

R<br />

<br />

Ticn Tocn Torn<br />

Ticn Tocn Torn<br />

Ticn<br />

(3.79)<br />

(3.80)<br />

This pair of equations now can be used to calculate air temperature and HADT wall<br />

temperature as well as the heat balance of the inspected HADT lump.

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