“…Suppose this equipment is not available and the improver injection occurs after pumping. In that case, a two-phase flow is generated, where pressure losses depend not only on fluids viscosityand composition but also on the form of improver injection [6].The most desirable effects are obtained when the improver is injected in contact with the walls of the tube. Thus, it is necessary to know the velocity profile established in the system and how it is temporarily generated when the enhancer injection occurs [7], and other possibilities that can change fluid flow [8].…”
Currently, petroleum is one of the primary economic resources for Mexico and other developing countries. The legal production begins at the wells and storage systems; once required, it is transported to the refinery or the ship exportation. The oil industry uses various mathematical models to know the pressure drop in a pipeline or reproduce different variables included; however, they require lengthy analysis times that can be reduced with solutions of analytical differential equations. In the present work, a model is developed to know the pressure drops in the pipeline but from the fractional calculation, reducing the analysis steps and developing predictions quickly. The obtained model allows the reproductionof the velocity profiles for the various Reynold values that characterize the exposed flow.
“…Suppose this equipment is not available and the improver injection occurs after pumping. In that case, a two-phase flow is generated, where pressure losses depend not only on fluids viscosityand composition but also on the form of improver injection [6].The most desirable effects are obtained when the improver is injected in contact with the walls of the tube. Thus, it is necessary to know the velocity profile established in the system and how it is temporarily generated when the enhancer injection occurs [7], and other possibilities that can change fluid flow [8].…”
Currently, petroleum is one of the primary economic resources for Mexico and other developing countries. The legal production begins at the wells and storage systems; once required, it is transported to the refinery or the ship exportation. The oil industry uses various mathematical models to know the pressure drop in a pipeline or reproduce different variables included; however, they require lengthy analysis times that can be reduced with solutions of analytical differential equations. In the present work, a model is developed to know the pressure drops in the pipeline but from the fractional calculation, reducing the analysis steps and developing predictions quickly. The obtained model allows the reproductionof the velocity profiles for the various Reynold values that characterize the exposed flow.
“…[14][15][16][17][18] Many researchers have designed novel viscosity reducers to decrease the viscosity, with good effect. 17,[19][20][21][22][23][24][25] However, the synthesis methods are complex and difficult to be applied to industrial production. Nik et al prepared oxidised asphaltene as a viscosity reducer for bitumen.…”
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