Task. The non-isothermal flow of oil in the turbulent regime flows in the buried oil pipeline, initially as a Newtonian fluid. The composition of oil contains paraffin, while the temperature is high, oil is a Newtonian liquid. After some distance oil temperature in buried oil pipeline decreases due to surrounding soil (earth) temperature. At decreasing oil temperature viscosity increases. Oil begins non-Newtonian liquid. . At decreasing oil temperature near walls of pipeline appears “Dead Zone” (Near walls oil doesn’t flow. Only in the center of pipeline oil flows). The flow structure is represented as follows: 1) In the beginning of the pipeline Newtonian fluid flows in the turbulent regime; 2) After some distance oil temperature decreases slowly due to viscosity increases. Fluid properties change from Newtonian flows in the turbulent regime to non-Newtonian flows in the laminar regime; 3) Between the flows of Newtonian and non-Newtonian oil happens a transition zone. I need to get two-dimensional axisymmetric results. I need velocity profile, pressure drop, temperature profile, viscosity profile. I want to compare experimental data with numerical results. Pipeline length 331000 meter. Pipeline diameter 0.82. How can I simulate such a long pipeline in two dimension? Can simulate this task in Comsol Multiphysics or Ansys Fluent? Should I solve this task in dimensionless form if yes How to solve it?

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