Mass Transfer around a Rising CO 2 Bubble in an Air Lift Column Applied to Aquaculture

He mentioned in the 18th century the possibility of injecting gas bubbles into a column of liquid to create a displacement of this liquid due to the rise of bubbles. This system takes the name of Air Lift and the first publications around this process appear at the beginning of the 20th century. There are many economic and ecological interests: CO 2 from industrial production is valued because it is consumed by algae, which once they reach maturity can be converted into fuel. It is therefore a very good energy balance thanks to a low consumption of gray energy and the system is simple to set up. In this study, we will delve deeper into the description of the bubble column and the theory that accompanies it. We will then describe our experiences and the work done.


Introduction
If the pumping of water with the help of air bubbles is quickly exploited, especially when it is necessary to create a flow in a liquid heavily loaded with particles, the process has found new applications that fit in sustainable development [1]. The bubble column is an answer to this problem because it presents itself as a multifunctional system [2] [3] [4]. It ensures the circulation of water, the bubbles of gas ensuring the pumping of the liquid and the gas exchange at the inter-cro-algae. In fact, bio-fuels are one of the most important alternatives to fossil fuels. However, they face serious performance problems. The use of aquatic micro-algae as bio-fuels requires little arable land [5]. Rich in lipids, they can produce 100 to 300 times more fuel than palm oil [6]. Biomass production using captured CO 2 to produce biological hydrogen and to exploit the biomass to extract biomolecules or other biofuels. But the production of biocarbons is not a priority as our study focuses a lot on spirulina. The application of the airlift is of great interest in the production of micro-algae [7] coupled with a raceway basin [8], it provides the three functions necessary for the development and harvesting of micro-algae. The circulation of water by pumping and the enrichment in CO 2 of the culture by gas exchange at the interface of the bubbles then the harvest of the mature algae, driven by the bubbles, which will form a scum on the surface of the column [9] [10]. However, the analysis of the particle size of the bubbles in the columns is carried out by techniques intrusive, disrupting flow and by non-intrusive techniques [11]. Non-intrusive techniques use tomographic probes [11] [12] or PIV image analysis [13].

Description of the Experimental Bench
The column used as shown in Figure 1 is a column polymethyl methacrylate (Plexiglas) whose dimensions are 25 × 25 × 70 cm with a constant wall thickness of 2 cm. Therefore, the capacity of the column is: 30.87 L. The column has a black plate on the underside, on which the injection system is connected as well as the various tools put in place during the realization of the experiments. The experimental bench set up at the LMFA laboratory is described in Figure 1. The gas used is respectively air for the PIV and CO 2 for the PLIF. This is injected into the tank containing deionized water (PLIF) [14] or different solutions of water plus glycerin (PIV) and fluorescein (PLIF) or crystals (PIV). The tank is then illuminated by the laser, the bubbles are visible in the laser plane and images can be recorded on the computer via the camera. Two probes are placed at the level of the tank to make measurements of CO 2 concentration and pH (PLIF).

Operation
PIV (Particle Image Velocimetry) measures a complete velocity field using short interval images [15] [16]. This technique can be used to study a gas or a liquid. PLIF (Planar Laser-Induced Fluorescence) is a technique widely used in the study of fluids. This technique makes it possible to observe the flows but also the fields of concentration and temperature in a two-phase flow. The luminous excitation of fluorescein and crystals is done using a Laser Argon (Light Amplification by Stimulated Emission of Radiation) Figure 2. This Laser was chosen because it is capable of emitting at several lengths of wave between 457.9 -514.5 nm. Fluorescein as the crystals are excited at about 500 nm, wavelength corresponding to the blue-cyan color, a filter is placed at the output of the laser beam to have only one wavelength emitted on the tank [17]. However, this filter will lose 80% -90% of the power of the Laser, but it does not prevent the fluorescein and the crystals are excited because one of the ideas used to solve this problem is to place a reflective mirror at opposite side of the Laser to double the power output. Note also that the Laser must be cooled due to a large heat emission during operation. The flow rate of the cooling system is adjusted to around 10 L/min, thus avoiding instability of power and temperature. The normal power of use of the Laser rotates around 8 W. The intensity can be adjusted to optimize the exposure time at the camera and to have better images.

Protocol
In order to study the behavior of bubbles in different solutions, we chose to take images with different flow rates and needle diameters for four glycerin concentrations. In our experiments, three different types of diameter were used: ∅0. we find that the rise of the bubbles takes a spiral trajectory (3D) Figure 3 when injecting low flow rates. On the other hand, the bubbles rotate about themselves and each of them has its own trajectory. For solutions of 30% and 40% glycerin we can notice that the rise of the bubbles follows a zigzag trajectory but in the case of the solution 30%, this trajectory is in 2D Figure 3 whereas for the solution 40% it is in 3D and less marked ( Figure 4). In this last case, we can also see   Figure 4 have been calculated. It is noted that this decreases exponentially, the higher the concentration of glycerin increases.

Fluorescein
In order to study the dissolution of CO 2 , we use fluorescein. Indeed, when the concentration of CO 2 increases, the pH decreases and the re-emission of fluorescein photons also appears in Figure 5. Fluorescein is a dye which has the particularity of returning a fluorescent light when it is excited at a wavelength of 494 nm [18]. It is observed that the maximum is reached is reached at around 5.10 -7 mol/L ( Figure 6). For a water depth of 40 cm or 18 L, we used 100 mL of fluorescein at a concentration of 0.034 g/L. In order to exploit PLIF results, it is necessary to make a calibration. Thus, a series of images is produced at different concentrations and the corresponding light intensity and the pH are measured.
It is therefore possible to obtain curves that bind the pH, the light intensity and the CO 2 .

Settings
• Camera: Exposure time: 2500 μs, Frequency: 206 FPS, Image size: 1399 × 500, Dynamic gain: 3000 DN • Particles: When brightness is high, it is best to use 10 μm glass particles. In the case of a lack of brightness, polyamide particles of 50 .mu.m are used.  Figure 7 shows the average speed fields. These measurements were taken for air flow rates equal to Q 60 = 2.548 cm 3 /min and a ∅0.8 mm.

Average Speed Fields
Note that the average displacement value of the liquid in the column is a function of the viscosity of the liquid used. Indeed, for a fairly viscous liquid (40% glycerin) the speed undergoes an increase of about 50% compared to that of pure water.

Cross-Sectional Velocity Profiles
In order to characterize the distribution of the velocity field in the whole of the studied volume, the transverse profiles in different planes of the column were determined (Figures 8-11). The results show that these profiles are more and more flattened by decreasing the viscosity. This is mainly due to the value of the volume density of the liquid which increases as a function of the viscosity and consequently the displacement of the gas bubbles cannot cause a displacement on the totality of the liquid contained in the column. It is for this reason that we notice quite significant speeds around the central axis of the column for the most viscous solution.      In Figure 4, it was noted that bubble velocities decreased as glycerin concentration increased. However, when we observe the transverse velocity profiles, we notice that the velocity of the fluid increases with the concentration of glycerin. This is because the slip speed decreases with increasing glycerin concentration.
As a result, the fluid is more driven by the bubble when there is viscosity, which explains the higher fluid speeds.

Image Processing
For lack of time we could not take quality picture series for all needles. However, the programs are now functional and the protocol is clearly established. Here is the result for a ∅0.6 mm needle. The MATLAB program processes only one image. Here are the results of the different stages of treatment. Figure 12 shows the raw image of the PLIF and PIV and Figure 13 shows the velocity field result processed but Figure 16 shows the superimposed result PIV-PLIF deals with Davis 8.1.
The particularity of our work is the use of a doubler to acquire PIV and PLIF.
This allowed us to follow the dissolution of CO 2 , determine its concentration field, and then visualize the velocity profiles. But also to superimpose the two images PIV and PLIF.
During our work, we found that at t = 0, there is no bubble on the water table Figure 14   Bubble columns have long been used in water treatment to capture different types of particles. More recently, it is their exchange capacity that has been used to produce chemical reactions between gas phase and liquid phase [13]. The vacuum bubble column studied dissolves carbon dioxide in water ( Figure 14 and Figure 15) [7]. This carbon-rich water is an ideal medium for growing micro-algae. The production of these micro-algae is today an issue in many fields since it can be intended for medicinal, food or energy use in the form of biofuel. It is therefore important to understand the phenomena and parameters at stake before scaling up ( Figure 16).
These theoretical results of PLIF and PIV will be applied to the culture of a blue-green algae: Spirulina Platensis. The choice of this plant-bacterium is based on several criteria: short culture cycle, applications in cosmetics, medicine and high nutritional value. Thus, we were able to study the influence of culture parameters such as light intensity, CO 2 velocity and concentration field, and temperature on its growth. In addition, we have implemented two methods based on bubble velocity and CO 2 dissolution to quantify the biomass produced by spirulina.

Conclusion
Despite the age of the airlift technology, it has not found applications in the industrial field, particularly in the fields of seaweed farming and fish farming.
They prove the effectiveness of the column as a multi-functional system able to both manage the circulation of water [19], the injection and removal of dissolved solids and the recovery of suspended solids. The work devoted to the transfer of the gas-liquid mass, by means of the PLIF and PIV method, the dissolution of the CO 2 could be quantified in the bubble column, the field of concentration and velocity showing a great efficiency of this one to dissolve carbon dioxide [20].
The size of the bubbles has a very strong influence on the efficiency of the air lift. The study of bubble sizes according to natures of water could show the importance  of operating the column in demineralized water or with a glycerin percentage not exceeding 40%. In fact, the bubbles are much smaller than in demineralized water than in water containing glycerin, and therefore the gas-liquid exchange surface is larger.