The Heat Transfer Coefficient (HTC) of In case of dual-barrier well completion with flowing fluid in the annulus (see Fig. 3) the HTCcompletion is defined by the following equation:
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\frac{1}{ dr_{ti} \, U} = \frac{1}{dr_{ti} \, U_{ti}} + \frac{1}{\lambdar_t{ti} \, \ln \frac{dU_t}{d_{ti}} +
+ \frac{1}{\lambdad_{a, \rm eff}}ann} \ln \frac{d, U_{ciann}}{d_t} +
\frac{1}{\lambdar_c{ci} \ln \frac{d, U_c}{d_{ci}} + \frac{1}{\lambdar_c \, U_{cem}} \ln \frac{d_w}{d_c} |
where
d_t = 2 \cdot | outer radius of the tubing |
(with outer radius t)
Image Removed | inner radius of the tubing |
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d%7Bti%7D = 2 \cdot inner diameter of the tubing (with inner radius | tubing wall thickness |
| outer radius of the casing |
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%7Bti%7D | inner radius of the casing |
)--uriencoded--t t %7Bti%7Dtubing d_c = 2 \cdot couter radius of casing (with outer radius | wellbore radius by drilling bit |
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| body | --uriencoded--\displaystyle U_%7Bti%7D = \frac%7B\lambda%7D%7B2 \, r |
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_c)d%7Bci%7D = 2 \cdot r_%7Bci%7Dinner diameter of the casing (with inner radius r_%7Bci%7D)h| --uriencoded--\displaystyle U_c = \frac%7B\lambda_c%7D%7Br_%7Bci%7D \cdot \ln (r_c |
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- icasing wall thickness_tthermal conductivity of tubing material%7Ba, \rm eff%7D = \lambda_a \cdot \epsilon_aeffective epsilonaNatural Convection Heat Transfer Multiplierafluid in the annulusdisplaystyle U_%7Bti%7D = \frac%7B\lambda%7D%7Bd_%7Bti%7D%7D \, %7B\rm Nu%7D_%7Bti%7Dheat transfer coefficient (HTC)
between inner surface of tubing and moving fluid |
The equation
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\frac{1}{ r_{ti} \, U} = \frac{2}{\lambda \, {\rm Nu}_{ti}} + \frac{1}{\lambda_t} \, \ln \frac{r_t}{r_{ti}}
+ \frac{1}{\lambda_{ann} \, {\rm Nu}_{ann}} +
\frac{1}{\lambda_c} \ln \frac{r_c}{r_{ci}} + \frac{1}{\lambda_{cem}} \ln \frac{r_w}{r_c} |
See also
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Physics / Thermodynamics / Heat Transfer / Heat Transfer Coefficient (HTC) / Heat Transfer Coefficient (HTC) @model
[ Single-barrier well completion Heat Transfer Coefficient @model ]
[ Thermal conductivity ] [ Nusselt number (Nu) ] [ Natural Convection Heat Transfer Multiplier ]
