Particle Image Velocimetry is an experimental technique that can be used to quantitatively visualize any type of flow field irrespective of the type of fluid. We are assigned to design and develop a 2D experimental facility of Particle Image Velocimetry for the visualization of the
Development of Particle Image Velocimetry local apparatus for experimental fluid mechanics studies
Particle Image Velocimetry is an experimental technique that can be used to quantitatively visualize any type of flow field irrespective of the type of fluid. We are assigned to design and develop a 2D experimental facility of Particle Image Velocimetry for the visualization of the laminar boundary layer profile of internal pipe flow. The basic principle of particle image velocimetry is that fluid flow is illuminated with the help of a laser light sheet which is seeded with fluorescent microparticles. The particle image velocimetry consists of several subassemblies such as:
Seeding
Particles with a density equal to the density of the flowing fluid and having high light scattering characteristics need to be illuminated to record them. The size of these particles must be larger than the wavelength of the incident light however the upper limit of their size is controlled with their inertial characteristics.
Recording
These illuminated tracer particles are recorded by capturing stationary images of these particles with the help high speed, high-resolution CCD camera which offers high frame rate and small response time.
Calibration
Displacement of the images of the particles as well as the displacement of the particles in the images needs to be calibrated.
Post-Processing
To counter complex fluid flows and delete invalid flow measurement, post-processing is essential. One such post-processing tool is the PIV lab which is a which is an open-source PIV simulation module in MATLAB.
In this PIV facility, we can see that the flowing fluid is mixed with the seeding particles and is moving through the test section. A laser source is generating a high-intensity laser and its geometry is changed into a sheet configuration with the help of light-sheet optics. Then this light sheet incident on the fluid flowing through the test section. The particles which lie in the plane of this sheet will be illuminated and they will be recorded with the help of a high-speed CCD camera and a high-resolution optical lens. The stationary images of the particles recorded at the two consecutive instants will have a slight displacement of the particles. This displacement, as well as the time difference of the recording of these two frames, will be calculated to get the velocity vectors at each illuminated particles by the PIV simulation software. The basic framework of this facility is shown below.

The main objectives of the project are as follows
This project was started in June. The first three to four-month were used for Literature Review and building the basic concepts behind Particle Image Velocimetry Technique. One month was dedicated to the design of different components. The manufacturing was started immediately after the design in October. About 80% of the project has been implemented practically until now. First of all, we would like to tell the implementations that have been already applied following by the implementations that we would make in the coming three months. We would also tell about the financial barriers that we creating hindrances in the completion of the project.
There are many reasons for this. Some of them are the following:
We want to make the following implementation the coming three months.
The sole purpose behind offering this project of Particle Image Velocimetry on the BS level was to build the apparatus that will be further utilized on MS and Ph.D. to carry out the advance research in fluid mechanics using Particle Image Velocimetry technique. There is no local manufacturing this project in Pakistan. The cost of this equipment is quite high as many companies are using patents. Many times PIEAS tried to purchase this equipment from the foreign countries but they did not provide this apparatus to PIEAS due to affiliation with Pakistan Atomic Energy Commission. So, our project main advantage is that it will be extensively used afterward for the cutting edge research in turbulent flow, two-phase flow, and multiphase flows. Our supervisor Dr. Atta Ullah has the plan to make a lab of experimental multiple flows for research and development in PIEAS.
The main advantages of Particle Image Velocimetry are the following
Other than aerodynamic and fluid mechanical research PIV has many other diverse applications like:
There is a huge world of PIV and the designing of the basic 2D PIV will provide the PIEAS the entrance gate to this world of opportunities.
Technical details of the final deliverable are the following
Fluid Flow Loop
Our test section is made up of Perspex with a refractive index of 1.47 and is of circular cross-section. It offers a lot of issues like a scattering of the light sheet over the surface of the pipe and this can be avoided with the help of a cubical water jacket around the surface of the pipe to minimize the curvature effects of the pipe. The flow is straightened with the help of a flow straightening device composed of a large number of tubes having the length to diameter ratio of 150. The block diagram of the experimental setup is as follows:

Seeding particles
We are using 40-60 micron silver coated hollow glass spheres with a density of 1.05g/cm3 for the visualization of water as a flowing medium.
Laser and light sheet
We are using continuous He-Ne 650nm and 10mW red laser and an arrangement of 3 cylindrical lenses to change its geometry into a sheet configuration. Our light-sheet configuration can be seen in the figure below. The focal lengths of the leases are mentioned in the configuration.

Recording
We are using a high resolution 120 fps CCD camera with a lens having a 10X optical zoom and the maximum area it can capture is 5cm. Its shutter speed is 100000. Because of the limitation of the shutter speed and frames per second of the camera we have to restrict the velocity of our flow and we can only measure the velocity profile up to 500 Reynolds number.
Image Processing and Cross-Correlation
The processing of the images in PIV is performed by using the principle of cross-correlation. Below are the sample images that have been taken at a very little time difference. We can see that in the right image, the particles have moved a little bit in the downward direction i.e. in the negative y-direction. In the right image, there may be some particles at the downward that have come out of the image and at the top of the image, the new particles entering the image have also been not shown here.

Now, to process the images we have to divide the images into the sub-domains called windows. For simplicity here, we divide the left image into the four windows here as shown here

We take the one window of the left image and scan it in the right image to see where it matches with the right image. As the left image at the instant one and the right image is at the instant two. So, the distance between these is the distance that image right has traveled during the small instant of time. Using this distance and the time that we already know, we can easily find the velocity.

Once, we have found the velocity of one window, we need to find the velocity of all other windows in the same way. For each window, we get a vector having a magnitude proportional to the velocity and direction in the direction of the velocity.

Once we find the velocity field of a fluid, we can find all the other parameters of fluid-like shear, pressure, forces, vorticity, etc. by using this velocity field.
| Item Name | Type | No. of Units | Per Unit Cost (in Rs) | Total (in Rs) |
|---|---|---|---|---|
| Cylindrical lenses | Equipment | 3 | 10000 | 30000 |
| He-Ne Green Laser | Equipment | 1 | 25000 | 25000 |
| Camera Lens | Equipment | 1 | 12000 | 12000 |
| Flow Straightener Pipes | Miscellaneous | 100 | 13 | 1300 |
| Safety Goggles | Miscellaneous | 2 | 3000 | 6000 |
| Total in (Rs) | 74300 |
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