Fractional ModelArchitecturefora crude-gasturbulent flow

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.