h1. Current Research
h2. Procedure
{float:left|border=2px solid black}
[!SandFilterSetup5.png|width=800px1000px!|Sand Filter Diagram]
h5. Current experimental setup
{float}
\\
\\
{anchor:Table 1}
{float:right|border=2px solid black|width=290px}
h5. Table 1: Filter media types and sizes
||Filter Media||Sieve Size||Diameter (mm)||
|Glass Beads|50|0.297-.42|
|Sand|40|0.42-.59|
|Sand|30|0.84-1.18|
{float}
The [experimental setup|Sand Filter Diagram] consists of a vertical clear PVC pipe that is 125 cm long with a 2.5 cm diameter. This is the filter column, and it is partially filled with the filter media. The filter media used were size 50 glass beads and sands with sieve sizes 30 and 40. These are summarized in [#Table 1] at the right.
Tap water is sent upward through the filter column. The tap water cannot be guaranteed to be super-saturated with gases already, so the [aeration apparatus|Aerator Apparatus] previously used in the [aeration method|Floating Floc Aeration Method] has been implemented to supersaturate the cold water before it is fed through the filter column. The aeration chamber is kept under 1 atmosphere of pressure while the water is bubbled by an aeration stone. Air is allowed to leave the aeration apparatus through a valve controlled by [Process Controller] and a rotameter, which restricts the air flow to maintain pressure inside the chamber.
From the bubbling chamber, the super-saturated cold water joins hot tap water and flows through 1/4" tubing into the flow accumulator, which uses a pressure sensor, temperature probe, and two valves (one for hot water, one for cold water) controlled by [Process Controller] to regulate the water's flow rate (which is altered to achieve the desired level of suspension of the filter media in the vertical column) and the water's temperature (which is set to 20°C, and can be changed to mimic water temperatures in Honduras).
The mixed water passes from the flow accumulator and into the filter column through 1/4" tubing, suspending the filter media in the column. After flowing through the suspended filter media, the water and any bubbles that formed in the process pass through 3/8" tubing into the bubble collector.
A pressure sensor is located in the 3/8" tubing between the filter column and the bubble collector. This sensor measures the pressure inside the system as cm of head. For the setup to truly mimic the open-to-atmosphere conditions of a grit chamber, the height of the final outlet of water from the system must be adjusted until this pressure sensor reads zero.
The bubble collector is made of a 3.8 cm\- diameter PVC pipe that is sealed at both ends. Water and bubbles from the glass filter column enter the chamber through 3/8" tubing that connects the top of the glass filter column to the bottom of the bubble collector. Inside the chamber (which is initially filled with water before each experiment), bubbles float to the surface while the water flows out through 3/8" tubing attached the bottom of the bubble collector. A 1/4" tube attached to the top of the bubble collector allows air to enter and leave. This tube as well as the water outflow tube at the bottom are both controlled by valves that are opened and closed by [Process Controller], which uses a pressure sensor to monitor the water level inside the chamber. The water level inside the chamber can be visually monitored through an additional 1/4" clear plastic tube that is attached to the top and bottom of the bubble collector.
At the start of an experimental run, the bubble collector chamber is nearly filled with water, the air valve at the top of bubble collector is shut, and the water outflow valve at the bottom of the bubble collector is open. As bubbles enter the bubble chamber and gather at the top, the water level in the chamber slowly sinks. When enough bubbles have entered the chamber to lower the water level as far as possible, the outflowing water valve is shut and the air valve is opened, allowing the chamber to refill. When the water level in the chamber reaches the maximum level again, the air valve shuts and the water valve opens, and the process begins again. The chamber can be drained by opening both valves at the same time. The system continues running during all of these processes in order to keep conditions as constant as possible.
The Process Controller Method we are using to run this setup can be downloaded [here|Current Experiments^SandFilterConfiguration.pcm].
The rate at which the water depth changes during a run is the same as the rate that air is being added to the collector, and so this is proportional to the rate that dissolved gases are being removed from the super-saturated water. Our data can be used to find the volume of dissolved gases removed per liter of water that flows through the system, allowing us to compare the relative effectiveness of each sand size, flow rate, and bed depth combination.
h2. Results and Discussion
For each sand grain size, the change in water level was recorded over a period of time. Usually, the experiment was left to run for several hours. Water level vs. time was plotted for each of these runs. [#Figure 1] serves as an example, showing the raw data for a run using glass beads in the filter column. Runs with the other filter media share the same patterns. Where the graph is slanted downward, the water level inside the bubble collector is sinking due to bubbles of gas leaving the water inside it. The steep upward climbs in the graph occur when the bubble collector has been completely filled with air and has to refill with water in order to continue the run. The data behaves fairly linearly, so after each run, a linear trendline is fitted to the data in Excel, as shown by the red line in [#Figure 1].
{anchor:Figure 1}
{float:left|border=2px solid black|width=700px}
!Water level vs. Time, GB, raw data.png|width=700px!
h5. Figure 1: Water level in bubble collector vs. time, using Glass Beads as filter media. Flow rate: 180 mL/min, Bed Expansion: 50%
{float}
\\
\\
{float:right|border=2px solid black|width=420px}
{anchor:Table 2}
h5. Table 2: Properties of trendlines fitted to water level vs. time data. Bed Depth: 60cm, Expansion: 50%.
||Filter Media||Flow Rate (mL/min)||Slope (cm/min)||R ^2^ value||
|Glass Beads|185|.1426|.999|
|Sand 40|345|.1541|.9992|
|Sand 30|500|.1423|.9915|
{float}
The slope of this trendline represents the rate of change of the water level inside the bubble collector as water runs through the filter. The slopes found for the filter media tested are summarized in [#Table 2], along with the R ^2^ value of the linear fit. All of the R ^2^ values are very close to one, which means that the data is in fact nearly linear and can be accurately represented by the equations given by Excel. For each run shown in the table, the filter bed was 60 cm deep and expanded by 50%.
The the rate of change of the water level can be converted to an equivalent rate of change in gas volume by multiplying the trendline's slope by the cross-sectional area of the bubble collector:
{latex}
$$
\frac{\Delta Volume}{\Delta Time} = slope * \pi * r _{collector} ^2
$$
\\
{latex}
To determine how much gas is removed per liter of water sent through the filter column, that volume rate of change is then divided by the flow rate of water in L/min.
{latex}
$$
\frac{mL\:gas\:removed}{L\:water\:treated} = \frac{\frac{\Delta Volume}{\Delta Time}}{Q_{water}}
$$
\\
{latex}
{anchor:Figure 2}
{float:right|border=2px solid black|width=250px}
!Gas removal, mL-L. GB, 40, 30.png|width=250px!
h5. Figure 2: Dissolved gas removal for various filter media. Bed Expansion: 50%
{float}
This was done for each sand, and the results are plotted in [#Figure 2].
In addition to sand grain size, filter bed depth was altered for the size 40 sand. Data was recorded for the filter depths of 42.5 cm and 60 cm, both expanded by 50% at a flow rate of 345 mL/min. The results are shown in [#Figure 3]. The deeper bed depth had a steeper slope, and therefore removed more dissolved gases per liter of water than the shallower depth, as summarized by [#Figure 4]
{float:right|border=2px solid black}
|{anchor:Figure 3}
!Water Level vs. Time. 40, 2depths.png|height=400px,align=600pxcenter!
h5. Figure 3: Water level in bubble collector vs. time, using Sand 40 as filter media. Flow rate: 345 mL/min, Bed Expansion: 50%|{anchor:Figure 4}
!Gas removal mL-L,40, 2depths.png|height=400px,align=600pxcenter!
h5. Figure 4: Dissolved gas removal for Sand 40 at different depths. Bed Expansion: 50%|
{float}
\\
\\
h2. Conclusions
It is clear that the glass beads removed more air per liter of water than the two sands, and that the smaller sand size was more effective than the larger.
During the experiments, we noticed that the glass beads tend to float to the top of the column with the bubbles that formed inside it. Though the beads could not leave the column because of a screen at the top, in an actual grit chamber, they would float out into the rest of the plant. So, we decided that, though the beads' size was the most effective at gas removal, it was just too small to be realistic. |
