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  1. Home/
  2. Om Yadav/
  3. Simulation of Flow through a pipe in OpenFoam part 2

Simulation of Flow through a pipe in OpenFoam part 2

Objective: Write a Matlab program that takes an angle as input and generates a blockMesh file for the given angle 10,25,45 degree.  To compare the above results and discuss findings     Calculation  and Assumption Reynolds Number: 2100 Radius of pipe (r) :0.005 dynamics viscosity of water: 1.002 X 10^-3…

  • CFD

  • Om Yadav

    updated on 19 May 2019

Objective:

  • Write a Matlab program that takes an angle as input and generates a blockMesh file for the given angle 10,25,45 degree.
  •  To compare the above results and discuss findings

 

 

Calculation  and Assumption

Reynolds Number: 2100

Radius of pipe (r) :0.005

dynamics viscosity of water: 1.002 X 10^-3

Density of water :0.998 gm/cm3

Kinematic Viscosity of Water: 1.004 X 10^-6

length equation length of pipe:0.05 x Re x d=1.05

Hence the length of the pipe is taken as=2.1m

By using the  Hagen Poiseuille\'s equation the pressure drop through the pipe is calculated

kinematic pressure drop in the pipe is 0.0717 m2/s2. 

 

  • The fluid is incompressible.
  • The flow is laminar through the pipe.
  • Constant circular cross-section.
  • No acceleration of fluid in the pipe.
  • Follow the Newtonian law of fluid

The code is written in Matlab and Blockmesh Dict file is generated by considering all the parameters provided in the questions.

% Code to create blockMeshDict file
clear all 
close all
clc

L = 2.1;% Length of the pipe
theta = input(\'Wedge angle = \'); % Angle
r = 0.005; % Radius of the pipe
a = 1
b = 0.2
c = 1
nx = 300 % grid point along x-axis
ny = 50 % grid point along y-axis
nz =1 % grid point along z-axis


% Creating blockMesh file
line1=\'/*--------------------------------*- C++ -*----------------------------------*\\\';
line2=\'| =========                 |                                                 |\';
line3=\'| \\\\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |\';
line4=\'|  \\\\    /   O peration     | Version:  4.1                                   |\';
line5=\'|   \\\\  /    A nd           | Web:      www.OpenFOAM.org                      |\';
line6=\'|    \\\\/     M anipulation  |                                                 |\';
line7=\'\\*---------------------------------------------------------------------------*/\';

bmd = fopen(\'blockMeshDict\',\'wt\')
fprintf(bmd,\'%s\\n\',line1);
fprintf(bmd,\'%s\\n\',line2);
fprintf(bmd,\'%s\\n\',line3);
fprintf(bmd,\'%s\\n\',line4);
fprintf(bmd,\'%s\\n\',line5);
fprintf(bmd,\'%s\\n\',line6);
fprintf(bmd,\'%s\\n\',line7);

fprintf(bmd,\'FoamFile\\n{\\n\');
fprintf(bmd,\'%12s \\t 2.0;\\n\',\'version\');
fprintf(bmd,\'%11s \\t ascii;\\n\',\'format\');
fprintf(bmd,\'%10s \\t dictionary;\\n\',\'class\');
fprintf(bmd,\'%11s \\t blockMeshDict;\\n\',\'object\');
fprintf(bmd,\'}\\n\');
line8=\'// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //\';
fprintf(bmd,\'%s\\n\\n\',line8);
fprintf(bmd,\'convertToMeters 1;\\n\\n\');
fprintf(bmd,\'vertices\\n\');
fprintf(bmd,\'(\\n\');
fprintf(bmd,\'\\t (%d %d %d)\\n\',0,0,0); % point 0
fprintf(bmd,\'\\t (%d %d %d)\\n\',L,0,0);  % Pont 1
fprintf(bmd,\'\\t (%d %d %d)\\n\',L,r*cosd(theta/2),r*sind(theta/2)); % point 2
fprintf(bmd,\'\\t (%d %d %d)\\n\',0,r*cosd(theta/2),r*sind(theta/2)); % point 3
fprintf(bmd,\'\\t (%d %d %d)\\n\',0,r*cosd(theta/2),-r*sind(theta/2)); % point 4
fprintf(bmd,\'\\t (%d %d %d)\\n\',L,(r*cosd(theta/2)),(-r*sind(theta/2))); % point 5
fprintf(bmd,\');\\n\\n\');
fprintf(bmd,\'blocks\\n\');
fprintf(bmd,\'(\\n\');
fprintf(bmd,\'     hex ( 0 1 5 4 0 1 2 3) (%d %d %d)\',nx,ny,nz);
fprintf(bmd, \' SimpleGrading (%d %d %d)\\n\\n\',a,b,c);
fprintf(bmd,\');\\n\\n\');
fprintf(bmd,\'edges\\n(\\n\\tarc %d %d (%d %d %d)\\n\',4,3,0,r,0);
fprintf(bmd,\'\\tarc %d %d (%d %d %d)\\n\',5,2,L,r,0);
fprintf(bmd,\');\\n\\n\');
fprintf(bmd,\'boundary\\n(\\n\');
fprintf(bmd,\'\\t inlet\\n\');
fprintf(bmd,\'\\t{\\n\');
fprintf(bmd,\'\\t\\t type patch;\\n\');
fprintf(bmd,\'\\t\\t faces\\n\');
fprintf(bmd,\'\\t\\t (\\n\');
fprintf(bmd,\'\\t\\t\\t (%d %d %d %d)\\n\',0,0,3,4);
fprintf(bmd,\'\\t\\t );\\n\');
fprintf(bmd,\'\\t}\\n\');
fprintf(bmd,\'\\t outlet\\n\');
fprintf(bmd,\'\\t{\\n\');
fprintf(bmd,\'\\t\\t type patch;\\n\');
fprintf(bmd,\'\\t\\t faces\\n\');
fprintf(bmd,\'\\t\\t (\\n\');
fprintf(bmd,\'\\t\\t\\t (%d %d %d %d)\\n\',1,5,2,1);
fprintf(bmd,\'\\t\\t );\\n\');
fprintf(bmd,\'\\t}\\n\');
fprintf(bmd,\'\\t back\\n\');
fprintf(bmd,\'\\t{\\n\');
fprintf(bmd,\'\\t\\t type symmetry;\\n\');
fprintf(bmd,\'\\t\\t faces\\n\');
fprintf(bmd,\'\\t\\t (\\n\');
fprintf(bmd,\'\\t\\t\\t (%d %d %d %d)\\n\',0,4,5,1);
fprintf(bmd,\'\\t\\t );\\n\');
fprintf(bmd,\'\\t}\\n\');
fprintf(bmd,\'\\t front\\n\');
fprintf(bmd,\'\\t{\\n\');
fprintf(bmd,\'\\t\\t type symmetry;\\n\');
fprintf(bmd,\'\\t\\t faces\\n\');
fprintf(bmd,\'\\t\\t (\\n\');
fprintf(bmd,\'\\t\\t\\t (%d %d %d %d)\\n\',0,1,2,3);
fprintf(bmd,\'\\t\\t );\\n\');
fprintf(bmd,\'\\t}\\n\');
fprintf(bmd,\'\\t axis\\n\');
fprintf(bmd,\'\\t{\\n\');
fprintf(bmd,\'\\t\\t type empty;\\n\');
fprintf(bmd,\'\\t\\t faces\\n\');
fprintf(bmd,\'\\t\\t (\\n\');
fprintf(bmd,\'\\t\\t\\t (%d %d %d %d)\\n\',0,1,1,0);
fprintf(bmd,\'\\t\\t );\\n\');
fprintf(bmd,\'\\t}\\n\');
fprintf(bmd,\'\\t pipewall \\n\');
fprintf(bmd,\'\\t{\\n\');
fprintf(bmd,\'\\t\\t type wall;\\n\');
fprintf(bmd,\'\\t\\t faces\\n\');
fprintf(bmd,\'\\t\\t (\\n\');
fprintf(bmd,\'\\t\\t\\t (%d %d %d %d)\\n\',3,2,5,4);
fprintf(bmd,\'\\t\\t );\\n\');
fprintf(bmd,\'\\t}\\n\');
fprintf(bmd,\');\\n\\n\');
fprintf(bmd,\'mergePatchPairs\\n(\\n\');
fprintf(bmd,\');\\n\');
line9=\'// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //\';
fprintf(bmd,\'%s\\n\',line9);
fclose(bmd)

 

blockMesh Dict file generated by Matlab for an angle 10 degree :

/*--------------------------------*- C++ -*----------------------------------*\\
| =========                 |                                                 |
| \\\\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
|  \\\\    /   O peration     | Version:  4.1                                   |
|   \\\\  /    A nd           | Web:      www.OpenFOAM.org                      |
|    \\\\/     M anipulation  |                                                 |
\\*---------------------------------------------------------------------------*/
FoamFile
{
     version 	 2.0;
     format 	 ascii;
     class 	 dictionary;
     object 	 blockMeshDict;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

convertToMeters 1;

vertices
(
	 (0 0 0)
	 (2.100000e+00 0 0)
	 (2.100000e+00 4.980973e-03 4.357787e-04)
	 (0 4.980973e-03 4.357787e-04)
	 (0 4.980973e-03 -4.357787e-04)
	 (2.100000e+00 4.980973e-03 -4.357787e-04)
);

blocks
(
     hex ( 0 1 5 4 0 1 2 3) (300 50 1) SimpleGrading (1 2.000000e-01 1)

);

edges
(
	arc 4 3 (0 5.000000e-03 0)
	arc 5 2 (2.100000e+00 5.000000e-03 0)
);

boundary
(
	 inlet
	{
		 type patch;
		 faces
		 (
			 (0 0 3 4)
		 );
	}
	 outlet
	{
		 type patch;
		 faces
		 (
			 (1 5 2 1)
		 );
	}
	 back
	{
		 type symmetry;
		 faces
		 (
			 (0 4 5 1)
		 );
	}
	 front
	{
		 type symmetry;
		 faces
		 (
			 (0 1 2 3)
		 );
	}
	 axis
	{
		 type empty;
		 faces
		 (
			 (0 1 1 0)
		 );
	}
	 pipewall 
	{
		 type wall;
		 faces
		 (
			 (3 2 5 4)
		 );
	}
);

mergePatchPairs
(
);
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

 

blockMesh Dict file generated by Matlab for an angle 25 degree:

/*--------------------------------*- C++ -*----------------------------------*\\
| =========                 |                                                 |
| \\\\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
|  \\\\    /   O peration     | Version:  4.1                                   |
|   \\\\  /    A nd           | Web:      www.OpenFOAM.org                      |
|    \\\\/     M anipulation  |                                                 |
\\*---------------------------------------------------------------------------*/
FoamFile
{
     version 	 2.0;
     format 	 ascii;
     class 	 dictionary;
     object 	 blockMeshDict;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

convertToMeters 1;

vertices
(
	 (0 0 0)
	 (2.100000e+00 0 0)
	 (2.100000e+00 4.881480e-03 1.082198e-03)
	 (0 4.881480e-03 1.082198e-03)
	 (0 4.881480e-03 -1.082198e-03)
	 (2.100000e+00 4.881480e-03 -1.082198e-03)
);

blocks
(
     hex ( 0 1 5 4 0 1 2 3) (300 50 1) SimpleGrading (1 2.000000e-01 1)

);

edges
(
	arc 4 3 (0 5.000000e-03 0)
	arc 5 2 (2.100000e+00 5.000000e-03 0)
);

boundary
(
	 inlet
	{
		 type patch;
		 faces
		 (
			 (0 0 3 4)
		 );
	}
	 outlet
	{
		 type patch;
		 faces
		 (
			 (1 5 2 1)
		 );
	}
	 back
	{
		 type symmetry;
		 faces
		 (
			 (0 4 5 1)
		 );
	}
	 front
	{
		 type symmetry;
		 faces
		 (
			 (0 1 2 3)
		 );
	}
	 axis
	{
		 type empty;
		 faces
		 (
			 (0 1 1 0)
		 );
	}
	 pipewall 
	{
		 type wall;
		 faces
		 (
			 (3 2 5 4)
		 );
	}
);

mergePatchPairs
(
);
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

 

the blockMeshDict file generated by Matlab for an angle 45 degree:

/*--------------------------------*- C++ -*----------------------------------*\\
| =========                 |                                                 |
| \\\\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
|  \\\\    /   O peration     | Version:  4.1                                   |
|   \\\\  /    A nd           | Web:      www.OpenFOAM.org                      |
|    \\\\/     M anipulation  |                                                 |
\\*---------------------------------------------------------------------------*/
FoamFile
{
     version 	 2.0;
     format 	 ascii;
     class 	 dictionary;
     object 	 blockMeshDict;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

convertToMeters 1;

vertices
(
	 (0 0 0)
	 (2.100000e+00 0 0)
	 (2.100000e+00 4.619398e-03 1.913417e-03)
	 (0 4.619398e-03 1.913417e-03)
	 (0 4.619398e-03 -1.913417e-03)
	 (2.100000e+00 4.619398e-03 -1.913417e-03)
);

blocks
(
     hex ( 0 1 5 4 0 1 2 3) (300 50 1) SimpleGrading (1 2.000000e-01 1)

);

edges
(
	arc 4 3 (0 5.000000e-03 0)
	arc 5 2 (2.100000e+00 5.000000e-03 0)
);

boundary
(
	 inlet
	{
		 type patch;
		 faces
		 (
			 (0 0 3 4)
		 );
	}
	 outlet
	{
		 type patch;
		 faces
		 (
			 (1 5 2 1)
		 );
	}
	 back
	{
		 type symmetry;
		 faces
		 (
			 (0 4 5 1)
		 );
	}
	 front
	{
		 type symmetry;
		 faces
		 (
			 (0 1 2 3)
		 );
	}
	 axis
	{
		 type empty;
		 faces
		 (
			 (0 1 1 0)
		 );
	}
	 pipewall 
	{
		 type wall;
		 faces
		 (
			 (3 2 5 4)
		 );
	}
);

mergePatchPairs
(
);
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

the pressure conditions

/*--------------------------------*- C++ -*----------------------------------*\\
| =========                 |                                                 |
| \\\\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
|  \\\\    /   O peration     | Version:  4.1                                   |
|   \\\\  /    A nd           | Web:      www.OpenFOAM.org                      |
|    \\\\/     M anipulation  |                                                 |
\\*---------------------------------------------------------------------------*/
FoamFile
{
    version     2.0;
    format      ascii;
    class       volScalarField;
    object      p;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

dimensions      [0 2 -2 0 0 0 0];

internalField   uniform 0;

boundaryField
{
         axis
	{
		 type empty;

	}
	 pipewall 
	{
		 type zeroGradient;

	}
	 	 
	 front
	{
		 type symmetry;

	}
	 back
	{
		 type symmetry;

	}
	 
	 inlet
	{
		 type zeroGradient;

	}
	 
	 outlet
	{
		 type fixedValue;
		 value uniform 10;


	 }
}

// ************************************************************************* //

 

the velocity boundary condition.

/*--------------------------------*- C++ -*----------------------------------*\\
| =========                 |                                                 |
| \\\\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
|  \\\\    /   O peration     | Version:  4.1                                   |
|   \\\\  /    A nd           | Web:      www.OpenFOAM.org                      |
|    \\\\/     M anipulation  |                                                 |
\\*---------------------------------------------------------------------------*/
FoamFile
{
    version     2.0;
    format      ascii;
    class       volVectorField;
    object      U;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

dimensions      [0 1 -1 0 0 0 0];

internalField   uniform (0 0 0);

boundaryField
{
         axis
	{
		 type empty;


	}
	 pipewall 
	{
		 type fixedValue;
		 value uniform (0 0 0);
	}
	 	 
	 front
	{
		 type symmetry;

	}
	 back
	{
		 type symmetry;

	}
	 
	 inlet
	{
		 type fixedValue;
		 value uniform (0.2107 0 0);

	}
	 
	 outlet
	{
		 type inletOutlet;
		 inletValue uniform (0.2107 0 0);
		 value uniform (0.2107 0 0);


	 }
}

// ************************************************************************* //

 

 

 

Results and plots of the various velocity conditions are given below:

All the fluid conditions are used similar to the first of the project. Here I have simulated three simulations with angle 10, 25, 45. initial conditions for each case of the simulation are the same. only the difference is in the front and back boundary condition here symmetry boundary condition is used which are given above.

The mesh structure is shown below:

\"\"

 

 Pipe flow model with an angle 10 degree.

\"\"

The parameters like velocity and pressure are calculated at 1.05 meter from the entrance of the pipe are as follows.

Velocity:    0.4144 m/s 

Pressure:   0.0736 (Kinematic Pressure)

 

 Pipe flow model with an angle 25 degree.

\"\"

The parameters like velocity and pressure are calculated at 1.05 meter from the entrance of the pipe are as follows.

Velocity:    0.456 m/s 

Pressure:   0.0806 (Kinematic Pressure)

 

 Pipe flow model with an angle 45 degree.\"\"

The parameters like velocity and pressure are calculated at 1.05 meter from the entrance of the pipe are as follows.

Velocity:    0.4164 m/s 

Pressure:   0.0936 (Kinematic Pressure)

Theoretical Result calculated using Hagen Poisuelle\'s equation.

velocity:    0.4214 m/s

pressure:   0.07107  (Kinematic Pressure)

Comparision the result between the different wedge angle

Here, wedge angle 2 degree is with wedge BC and rest of all 10,25 and 45 degrees with symmetry BC.

\"\"

Initially, the Matlab code is used to create the geometric model and mesh in both x and y directions. velocity condition for both input and output condition is provided for pipe flow. The wedges angle increases error will decrease . Hence from the above comparision, it is found that at wedge angle 3 degrees with wedge BC velocity profile will be fully developed and it takes lower simulation time.

 

 

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