Motivation
Analytical model of temperature build up in concentric pipeline consisting of two pipes: flowing pipe and casing pipe.
Model equally works for wellbore flow and on-ground pipelines.
Outputs
T(t, l) | Along-hole Temperature Profile |
where
l | length along pipe |
Inputs
t | Flowing duration | T_b(l) | Background temperature |
q_s | Intake flowrate | a_b(l) | Thermal diffusivity of the surroundings |
r_f | Flowing pipe radius | \lambda_b(l) | Thermal Conductivity of the surroundings |
r_w | Casing pipe radius | U(l) | Heat Transfer Coefficient (HTC) between pipe fluid and surroundings |
Assumptions
Constant rate | Constant intake temperature |
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q_s(t) = q_s = {\rm const} | T_s(t) = T_s = \rm const |
Equations
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See Also
Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation / Pipe Flow Temperature @model