### The Design – Non Newtonian Fluid Transient Simulation | ANSYS Fluent

In Newtonian fluids, the relationship between shear stress variations and the applied stress rate is linear, and the constant coefficient of converting this linear ratio to the equation is the viscosity, but in Non-Newtonian fluids, there is no longer any effect of the linear relationship between shear stress and the applied stress. In these fluids, the duration of applied stress plays a vital role in the shear stress achieved. Consequently, in Non-Newtonian fluids, a constant coefficient such as the viscosity is not meaningful for describing the shear stress state. Non-Newtonian fluids are divided into three groups, time-independent, time-dependent, and viscoelastic.

Six non-centered irregular tubes are one of the simplest examples of which can observe completely different Non-Newtonian fluid behavior.

In this analysis, we tried to do a CFD simulation flow of Non-Newtonian fluid transient simulation using ANSYS Fluent software.

### Geometry & Grid

The geometry required to analyze the non-Newtonian flow between six non-centered irregular tubes includes six non-centered, one-way, three-dimensional, all-in-one geometry of Design Modeler and mesh required by this software for this geometry. The volume properties of the geometry model for these six non-centered irregular tubes design modeler geometry are 1.2339e+006 mm³.

### Model

To analyze nonlinear fluid flow inside these six non-centered irregular tubes, the Volume of Fluid multiphase model is used as a 2-phase method. The turbulence viscosity model K-Epsilon Standard (2 Equation) has been used to investigate the turbulence of the current. The scalable wall function is used near the wall.

The materials used in this analysis are also defined in the Material section for this analysis.

### Boundary Condition

The flow input for the two-phase Eulerian for this analysis is considered as Velocity Magnitude and is 0.9 m/s. The turbulence of the design modeler is set with an intensity equal to 5 %. The turbulence viscosity ratio of the design modeler is set with a viscosity ratio of 10.

The flow output range is also considered as a pressure outlet for the flow output region and gauge pressure is equal to 0. The inner wall is also considered a Stationary Wall.

### Discretization of Equations

To solve the equations in this analysis, the Simple algorithm is used to solve coupling speed and pressure equations. Also, a pressure-based solution for flow resolution is used. The Second Order Upwind method is used to discriminate equations.

In the end, the results are shown as contours of velocity, pressure, and isosurfaces.

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