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Non-Newtonian Flow Between 2 Concentric Cylinders, Eulerian, ANSYS Fluent

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The present problem simulates a non-Newton two-phase flow between two concentric cylinders using ANSYS Fluent software.

This product includes a Mesh file and a comprehensive Training Movie.

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Description

Non-Newtonian Flow Project Description

The present problem simulates a non-Newton two-phase flow between two concentric cylinders using ANSYS Fluent software. Fluids are divided into two categories in terms of viscosity: Newtonian and non-Newtonian fluids. Viscosity is a parametric fluid that indicates the degree of resistance of that fluid to flow. Newtonian fluids are fluids that follow Newton’s law of viscosity (shear stress in a Newtonian fluid changes linearly with strain rate) and also their viscosity depends only on the temperature and pressure of the fluid, and by applying a force to them in a constant temperature and pressure, their viscosity does not change.

Non-Newtonian fluids, on the other hand, are fluids that do not follow Newton’s law of fluids, and their viscosity changes with the application of force. In this simulation, a two-phase flow is defined using the Eulerian model, the base fluid of which is a non-Newtonian fluid with a soluble fluid flowing through it. The base fluid has a density of 998.2 kg.m-3 and its viscosity is defined as non-Newtonian, which is non-Newtonian-power-law. The relation to the non-Newtonian viscosity value is as follows; So that k is equal to the criterion for measuring the average viscosity of the fluid and n is the criterion for the deviation of the fluid from the Newtonian state.

In this simulation, k is defined as 0.021 and n is defined as 0.75, and the minimum and maximum viscosity are 0.0001 kg.m-1.s-1 and 2000 kg.m-1.s-1, respectively. The soluble fluid in non-Newtonian fluid also has a density equal to 2000 kg.m-3 and a viscosity equal to 0.00111 kg.m-1.s-1.

non-newtonian

Geometry & Mesh

The present model is designed in three dimensions using Design Modeler software. The model is a cylindrical channel with a length of 1 m and an inner diameter of 0.0225 m and an outer diameter of 0.03125 m.

non-newtonian

We carry out the model’s meshing using ANSYS Meshing software. The mesh type is structured. The element number is 1396224. The following figure shows the mesh.

non-newtonian

Non-Newtonian Flow CFD Simulation

We consider several assumptions to simulate the present model:

  • We perform a pressure-based solver.
  • The simulation is steady.
  • The gravity effect on the fluid is ignored.

The following table represents a summary of the defining steps of the problem and its solution:

Models (Non-Newtonian)
Viscous k-epsilon
k-epsilon model standard
near wall treatment standard wall functions
Multiphase Model Eulerian
number of eulerian phases 2
formulation implicit
Boundary conditions (Non-Newtonian)
Inlet Velocity Inlet
gauge pressure 0 Pascal
velocity magnitude 1.3566 m.s-1
volume fraction – primary phase 0.87
volume fraction – secondary phase 0.13
Outlet Pressure Outlet
gauge pressure 0 pascal
Inner & Outer Wall Wall
wall motion stationary wall
Methods (Non-Newtonian)
Pressure-Velocity Coupling Coupled
Pressure PRESTO
momentum first order upwind
turbulent kinetic energy first order upwind
turbulent dissipation rate first order upwind
volume fraction first order upwind
Initialization (Non-Newtonian)
Initialization methods Standard
gauge pressure 0 Pascal
velocity (x,y,z) 0 m.s-1
volume fraction – primary 1
volume fraction – secondary 0

Results & Discussions

At the end of the solution process, two-dimensional and three-dimensional contours related to pressure, velocity, volume fraction of non-Newtonian base fluid and volume fraction of soluble fluid were obtained.

There are a Mesh file and a comprehensive Training Movie that presents how to solve the problem and extract all desired results.

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