Fluid injection in a pipeline is commonly modeled solving the momentum,
energy and mass balance equations averaged across the section of the pipe.
Thus it is a non-linear problem, this approach computationally is costly. Inspired
by the relation between head losses and water velocity in channels, we
proposed a generalization of Manning’s formula for the case of a multiphase,
compressible non-isothermal fluid system to avoid solving the momentum
We model the non-isothermal injection of CO2 in a vertical pipe to assess
the validity of the proposed formulation. We consider different inflows and
temperatures of the injected fluid, and take into account the heat exchange
with the pipe’s walls. Temperature, density and mass fractions are computed
using the Span andWagner equation of state.
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