Motivation
One of the key challenges in Pipe Flow Dynamics is to predict the along-hole temperature distribution during the stationary fluid transport.
In many practical cases the temperature distribution for the stationary fluid flow can be approximated by homogenous fluid flow model.
Pipeline Flow Temperature Model is addressing this problem with account of the varying pipeline trajectory, pipeline schematic and heat transfer with the matter around pipeline.
Inputs & Outputs
Inputs | Outputs |
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pipeline trajectory {\bf r} = {\bf r}(l) = \{ x(l), \, y(l), \, z(l) \} | along-pipe temperature T(t, l) distribution |
fluid density \rho(T, p) and fluid viscosity \mu(T, p) | |
inflow temperature T_0(t), inflow pressure p_0, inflow rate q_0 | |
initial temperature T_g(l) of the medium around pipeline | |
specific heat capacity c_p(l), thermal conductivity \lambda_e(l) of the medium around pipeline | |
heat transfer coefficient U(l) based on pipeline schematic |
Assumptions
Equations
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(see Derivation of Stationary Isothermal Homogenous Pipe Flow Pressure Profile @model )
Approximations
See also
Physics / Fluid Dynamics / Pipe Flow Dynamics / Pipe Flow Simulation
[ Heat Transfer ][ Heat Transfer Coefficient (HTC) ]
[ Stationary Isothermal Homogenous Pipe Flow Pressure Profile @model ]
References
https://en.wikipedia.org/wiki/Darcy_friction_factor_formulae
https://neutrium.net/fluid_flow/pressure-loss-in-pipe/