193 lines
6.2 KiB
Markdown
193 lines
6.2 KiB
Markdown
# Problem Definition
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The problem is to simulate a rotating drum with the diameter **0.24 m**, the length **0.1 m** and **6** Baffles, rotating at **15 rpm**. This drum is filled with **20000** Particles.The timestep for integration is **0.00001 s**. There are 2 types of Particles in this drum each are being inserted during simulation to fill the drum.
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* **12500** Particles with **4 mm** diameter, at the rate of 12500 particles/s for 1 sec.
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* **7500** Particles with **5mm** diameter, at the rate of 7500 particles/s for 1 sec.
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<html>
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<body>
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<div align="center"><b>
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a view of the drum while rotating
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</div></b>
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<div align="center">
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<img src="https://github.com/PhasicFlow/phasicFlow/blob/media/media/rotatingDrumBffl.gif", width=700px>
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</div>
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</body>
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</html>
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# Setting up the Case
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As it has been explained in the previous cases, the simulation case setup is based on text-based scripts. Here, the simulation case setup are sotred in three folders: `caseSetup`, `setting` and `stl` (see the above folders).
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## Defining small and large particles
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Then in the `caseSetup/sphereShape` the diameter and the material name of the particles are defined. Two sizes are defined: 4 and 5 mm.
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```C++
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// names of shapes
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names (smallSphere largeSphere);
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// diameter of shapes (m)
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diameters (0.004 0.005);
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// material names for shapes
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materials (lightMat heavyMat);
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```
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## Particle Insertion
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In this case we have two region for inserting our particles. In the both region we define rate of insertion, start and end time of insertion, information for the volume of the space throught which particles are being inserted. The insertion phase in the simulation is performed between times 0 and 1 seconds.
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For example, for the insertion region for inserting light particles is shown below.
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<div align="center">
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in <b>caseSetup/particleInsertion</b> file
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</div>
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```C++
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// Right Layer Region
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layerrightregion
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{
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// type of insertion region
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type cylinderRegion;
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// insertion rate (particles/s)
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rate 12500;
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// Start time of LightParticles insertion (s)
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startTime 0;
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// End time of LightParticles insertion (s)
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endTime 1;
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// Time Interval of LightParticles insertion (s)
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interval 0.025;
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cylinderRegionInfo
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{
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// Coordinates of cylinderRegion (m,m,m)
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p2 (-0.15 0.25 0.05);
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p1 (-0.15 0.24 0.05);
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// radius of cylinder (m)
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radius 0.035;
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}
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}
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```
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## Interaction between particles and walls
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In `caseSetup/interaction` file, material names and properties and interaction parameters are defined: interaction between the particles and the shell of rotating drum. Since we are defining 3 materials for simulation, the interaction matrix is 3x3, while we are only required to enter upper-triangle elements (interactions are symetric).
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```C++
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// a list of materials names
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materials (lightMat heavyMat wallMat);
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// density of materials [kg/m3]
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densities (1000 1500 2500);
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/*
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Property (lightMat-lightMat lightMat-heavyMat lightMat-wallMat
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heavyMat-heavyMat heavyMat-wallMat
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wallMat-wallMat );
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*/
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// Young modulus [Pa]
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Yeff (1.0e6 1.0e6 1.0e6
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1.0e6 1.0e6
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1.0e6);
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// Shear modulus [Pa]
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Geff (0.8e6 0.8e6 0.8e6
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0.8e6 0.8e6
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0.8e6);
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// Poisson's ratio [-]
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nu (0.25 0.25 0.25
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0.25 0.25
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0.25);
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// coefficient of normal restitution
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en (0.97 0.97 0.85
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0.97 0.85
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1.00);
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// coefficient of tangential restitution
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et (1.0 1.0 1.0
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1.0 1.0
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1.0);
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// dynamic friction
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mu (0.65 0.65 0.35
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0.65 0.35
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0.35);
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// rolling friction
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mur (0.1 0.1 0.1
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0.1 0.1
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0.1);
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```
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## Settings
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### Geometry
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In the `settings/geometryDict` file, the geometry and axis of rotation is defined for the drum. The geometry is composed of a body, front and rear ends.
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```C++
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surfaces
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{
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body
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{
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// type of the wall
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type stlWall;
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// file name in stl folder
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file Body.stl;
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// material name of this wall
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material wallMat;
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// motion component name
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motion rotAxis;
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}
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/* This is a Cylinder Wall at the rear of cylinder */
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rearEnd
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{
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// type of the wall
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type cylinderWall;
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// first point for the axis of rotation
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p1 (-0.1974 0.2269 -0.001);
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// second point for the axis of rotation
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p2 (-0.1974 0.2269 0.0);
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// Radius of p1
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radius1 0.0001;
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// Radius of p2
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radius2 0.12;
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// material name of the wall
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material wallMat;
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// motion component name
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motion rotAxis;
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}
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/* This a cylinder Wall at the front of Cylinder */
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frontEnd
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{
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// type of the wall
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type cylinderWall;
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// first point for the axis of rotation
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p1 (-0.1974 0.2269 0.0989);
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// second point for the axis of rotation
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p2 (-0.1974 0.2269 0.0990);
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// Radius of p1
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radius1 0.0001;
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// Radius of p2
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radius2 0.12;
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// material name of the wall
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material wallMat;
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// motion component name
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motion rotAxis;
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}
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}
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```
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### Rotating Axis Info
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In this part of `geometryDict` the information of rotating axis and speed of rotation are defined. The start of rotation is at 2 s. The first 2 seconds of simulation is for allowing particles to settle donw in the drum.
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```C++
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rotatingAxisMotionInfo
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{
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rotAxis
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{
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// first point for the axis of rotation
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p1 (-0.1974 0.2269 0);
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// second point for the axis of rotation
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p2 (-0.1974 0.2269 0.1);
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// rotation speed (rad/s) => 15 rpm
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omega 2.38733;
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// Start time of Geometry Rotating
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startTime 2;
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// End time of Geometry Rotating
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endTime 9.5;
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}
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}
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```
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## Performing Simulation
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To perform simulations, enter the following commands one after another in the terminal.
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Enter `$ particlesPhasicFlow` command to create the initial fields for particles.
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Enter `$ geometryPhasicFlow` command to create the Geometry.
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At last, enter `$ sphereGranFlow` command to start the simulation.
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After finishing the simulation, you can use `$ pFlowtoVTK` to convert the results into vtk format storred in ./VTK folder.
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