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In case of dual-barrier single-string completion with fluid (stagnant or moving) filling in the annulus (see Fig. 31) the HTC is defined by the following equation:
| LaTeX Math Block | ||||
|---|---|---|---|---|
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\frac{1}{ r_{ti} \, U} = \frac{1}{r_{ti} \, U_{ti}} + \frac{1}{r_{ti} \, U_t} +
\frac{1}{r_t \, U_{ann}} +
\frac{1}{r_{ci} \, U_c} + \frac{1}{r_c \, U_{cem}} |
where
| outer radius of tubing |
| ||||
| inner radius of the tubing | |||||
| tubing wall thickness | |||||
| outer radius of casing | |||||
| inner radius of the casing | |||||
| casing wall thickness | |||||
| thermal conductivity of tubing material | |||||
| thermal conductivity of fluid moving through the tubing | |||||
| effective thermal conductivity of the annulus | |||||
| Natural Convection Heat Transfer Multiplier | |||||
| thermal conductivity of fluid in the annulus | |||||
| ||||||
| Annular Flow Heat Transfer Coefficient |
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\frac{1}{ r_{ti} \, U} = \frac{1}{r_{ti} \, U_{ti}} + \frac{1}{\lambda_t} \, \ln \frac{r_t}{r_{ti}} +
+ \frac{1}{r_t \, U_{ann}} +
\frac{1}{\lambda_c} \ln \frac{r_c}{r_{ci}} + \frac{1}{\lambda_{cem}} \ln \frac{r_w}{r_c} |
where
| outer radius of tubing |
| inner radius of the tubing | ||||
| tubing wall thickness | ||||
| outer radius of casing | ||||
| inner radius of the casing | ||||
| casing wall thickness | ||||
| thermal conductivity of tubing material | ||||
| thermal conductivity of fluid moving through the tubing | ||||
| effective thermal conductivity of the annulus | ||||
| Natural Convection Heat Transfer Multiplier | ||||
| thermal conductivity of fluid in the annulus | ||||
| |||||
| Annular Flow Heat Transfer Coefficient |
See also
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Physics / Thermodynamics / Heat Transfer / Heat Transfer Coefficient (HTC) / Heat Transfer Coefficient (HTC) @model
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