The petroleum, composed of hydrocarbons, exits the reservoir at high temperatures and loses heat to the environment as it flows to the platform. When the temperature drops below a certain threshold, paraffin crystals precipitate, altering the rheological characteristics of the fluid. The fluid s viscosity increases as the temperature decreases, raising pumping costs and potentially obstructing the crosssectional area of the flow. The oil may also start behaving as a non-Newtonian fluid with a yield stress. This research analyzes the flow considering both Newtonian and non-Newtonian fluid behaviors for two different Reynolds numbers. Additionally, different criteria for defining deposit thickness are evaluated. The first, based on empirical information from the literature, considers the region of the fluid with a solid volumetric fraction above 2% as the deposit. The second criterion defines the deposit thickness as the position where the yield stress exceeds the shear stress. Finally, the entire region of the fluid with a yield stress other than zero is considered as a deposit. The results show that defining deposit thickness based on the solid fraction is more realistic.