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| 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 | |||||
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| Tubing Wall Conductive Heat Transfer Coefficient | |||||
| Annular Flow Heat Transfer Coefficient | |||||
| Casing Wall Conductive Heat Transfer Coefficient | |||||
| Cement Conductive Heat Transfer Coefficient |
LaTeX Math Block | ||||
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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} |
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