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Eulerian Two Phase Flow Inside a Cylinder with a Moving Wall

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The aim of this project is to investigate the effect of the rotating wall on Eulerian multi-phase turbulent flow.

 

This ANSYS Fluent project includes CFD simulation files and a training movie.

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Description

Project Description (Eulerian)

The system consists of two different fluids, including water as the primary fluid and one secondary fluid (with a density of 2610 kg.m-3 and a viscosity of 0.0026 kg.m-1.s-1). Therefore, to define the flow of two fluids in the system, the Eulerian multiphase model has been used. The two-phase flow enters the chamber in the form of a hollow cylinder.

The water fluid enters the cylindrical system with a velocity of 0.629 m.s-1 and a volume fraction of 0.67, the secondary fluid with a velocity of 0.099 m.s-1 and a volumetric fraction of 0.23 and under relative pressure conditions of 1379000 pascals. The outer wall of the cylinder is stationary, while the inner wall is moving wall and has a rotational speed around the central axis of the cylinder of 30 rpm. The aim of this project is to investigate the effect of the rotating wall on Eulerian multi-phase turbulent flow.

Geometry & Mesh

The 3-D geometry of the present model is carried out using Design Modeler software. The geometry of the model consists of two outer and inner cylinders, through which the two-phase fluid flows through the space between the two outer and inner walls. The input and output of the model are in the form of hollow circles. The figure below shows an overview of the model’s geometry.

geometry

The meshing of the present model has been done using ANSYS Meshing software. The mesh type is unstructured and the element number is 11,880. The figure below shows an overview of the performed mesh.

mesh

CFD Simulation (Eulerian)

To simulate the present model, several assumptions are considered, which are:

  • The solver is pressure-based.
  • Simulation has only examined fluid behavior; in other words, heat transfer simulation has not been performed.
  • The present model is Steady in terms of time; in fact, due to the application of constant rotational speed for the wall, the effect of the term of the time can be separated from the solution process.
  • The effect of gravity on the flow is considered to be 9.81 m.s-2 and along with the z-axis in the present model.

The following is a summary of the steps for defining the problem and its solution:

Models (Eulerian)
k-omegaViscous model
standardk-omega model
shear flow correctionsk-omega options
dispersedturbulence multiphase model
EulerianMultiphase model
water and secondary phasephases
implicitformulation
Boundary conditions
velocity-inletInlet
1379000 pascalsupersonic/initial gauge pressuremixture
0.629 m.s-1velocity magnitudewater
0.67volume fraction
0.099 m.s-1velocity magnitudesecondary phase
0.23volume fraction
Pressure outletOutlet
1379000 pascalgauge pressuremixture
1backflow volume fractionwater
0backflow volume fractionsecondary phase
wallInner wall
stationary wall (0 rpm)wall motion
Outer wall
moving wall (30 rpm)wall motion
Solution Methods
Phase Coupled SIMPLE Pressure-velocity coupling
PRESTOpressureSpatial discretization
first-order upwindmomentum
first-order upwindspecific dissipation rate
first-order upwindvolume fraction
Initialization
StandardInitialization method
0 m.s-1water velocity (x,y,z)
0 pascalgauge pressure
0 m.s-1water velocity (x,y,z)
1the secondary phase volume fraction

Turbulence Model

In the present model, the standard k-omega turbulence model with shear flow correction capability and the dispersed turbulence model for multi-phase flow are considered.

Results (Eulerian)

After the solution process, the two-dimensional and three-dimensional contours related to pressure (for mixing), velocity (for water phase and secondary fluid phase), the volume fraction of water and secondary fluid, as well as path lines (water and secondary fluid), have been obtained. Two-dimensional contours are presented in two sections, YZ, and XY. The YZ section is defined as passing through the central axis of the cylinder and the XY section is defined perpendicular to the central axis of the cylinder at intervals of 4, 9 and 13.716 (output) meters from the input section.

 

All files, including Geometry, Mesh, Case & Data, are available in Simulation File. By the way, Training File presents how to solve the problem and extract all desired results.

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