CFD of Viscoelastic Fluid in Horizontal Flow Pipes

Drilling fluids are non-Newtonian fluids. Non Newtonian fluids mostly are viscoelastic fluid which mean it exhibit both viscosity and elastic properties. Presences of both properties make it hard to predict behavior of the fluid. In order to carry out analysis on it, it is important to understand how viscoelastic fluid works and types that exist.
All viscoelastic fluid can be define using viscosity models. Viscosity models are mathematical equation that describes how the fluid reacts when force is applied.
Beside viscosity model, Navier-Stokes equation is as important as the viscosity model. Navier Stokes or the governing equation is the equation that will describe the flow. As in fluid the Navier Stokes will play very critical role or we can say it is the fundamental of fluid flow. By putting some boundary conditions and assumptions into the equation, the governing equation for the system can be determined.
By combining both, viscosity model and the governing equation, analytical equation for the system can be produce. By solving the equation, the solution for the system can be produce.
Simulation is done using GAMBIT as modeler and FLUENT as solver. Simulation is done by inserting physical properties of the pipe or annulus and the properties of the mud. The simulation is done for all three sample of mud that has been experimented. The variation of the velocity and the pressure is check. The result of the simulation can be compared with the analytical solution once it is solved.