Motivation
One of the key problems in designing the pipelines and controlling the pipeline fluid transport is to predict the temperature and pressure losses during the stationary fluid transport.
Pipeline flow simulator is addressing this problem. It should account for the varying pipeline trajectory, gravity effects, fluid friction with pipeline walls and varying heat exchange with surroundings.
Definition
| Inputs | Ouputs | |
|---|---|---|
Pipeline trajectory {\bf r} = {\bf r}(l) | along-pipe distribution of stabilised pressure p(l) | |
Pipeline cross-section area A(l) | along-pipe distribution of stabilised flow rate q(l) | |
Fluid density \rho(T, p) and fluid viscosity \mu(T, p) | along-pipe distribution of stabilised average flow velocity u(l) |
| (1) | \bigg( 1 - \frac{c(p) \, \rho_s^2 \, q_s^2}{A^2} \bigg ) \frac{dp}{dl} = \rho(p) \, g \, \frac{dz}{dl} - \frac{\rho_s^2 \, q_s^2 }{2 A^2 d} \frac{f(p)}{\rho(p)} |
In water producing or water injecting wells the friction factor can be assumed constant f(l) = f_s = \rm const along-hole ( see Darcy friction factor in water producing/injecting wells ).
See Also
Petroleum Industry / Upstream / Pipe Flow Simulation / Water Pipe Flow @model
[ Darcy friction factor ] [ Darcy friction factor @model ]