Composting Bioreactors
Design III Report Winter 2011
Jamaleddine, Eyad [260282587]
Rainville, Cloé [260282662]
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ABSTRACT
Considering the present push towards greener industrial and residential activities, composting is once again a hot topic amongst Ecological Engineers. Uniform composting conditions are necessary to ensure the destruction of pathogens and maintain the whole system at the same composting stage, so it is essential to maintain a homogeneous temperature throughout the compost. In the quest to accomplish the latter, an in‐vessel heat redistribution system was constructed and tested. The system requires no external inputs of energy, but exploits the principles of conductive and convective heat exchange. Once composting gets underway and temperature differentials arise within the compost bed, changes in buoyancy cause water to flow through a closed coil of copper tubing, redistributing the core heat throughout the medium. Heat is also conducted along the copper tubing. In the past, a controlled experiment was conducted to test the design. A statistical analysis of the experimental results demonstrates that the vessels fitted with the heat redistribution system exhibit lower temperature gradients within the compost bed than in control vessels without the system. The present will deal with an air redistribution system to be fitted to the aforementioned design. The latter would permit warm air exiting from the top four inch whole to be cooled and re‐circulated to the bottom four‐inch whole of the barrel. The overall objective is essential to reduce heat losses while maintained the replenishing of the oxygen supply throughout the composting media.
Introduction
Compost is essentially the decaying of organic matter. Primarily, a mesophilic phase occurs, followed by a thermophilic phase. For centuries man has been utilizing the latter process to increase soil fertility, reduce organic ordure volumes and treat contaminated soils. Composting is a practice gaining popularity amongst the agricultural community, the engineering realm and, on a more general scale, even with the average individual. Essentially, as more applications involve utilizing this ancient technique, one must account for the numerous limitations that can be encountered when composting. Of the latter, the inability to ensure that the composting media is fully cured after a certain period or ensuring that the entirety of the media has attained the crucial thermophilic phase, where pathogenic organisms are destroyed, are limiting factors when considering composting as a means to an end. More so, the production of volatile fatty acids from microorganisms is the source of unpleasant odors that can deter individuals from setting up a composting bin. The aforementioned limiting factors are due to the non‐
homogenous nature of compost and the presence of anaerobic digestion within pockets of the compost media. In the past, a heat redistribution system was designed in the quest to redistribute the core temperature of the composting media uniformly throughout the composting vessel, without any external inputs of energy.
To do so, the heat produced by the activated microorganisms was uniformly distributed by a watertight system consisting of copper and plastic tubing connected to a heater core placed at the center of the composting mixture. Next we designed the above mentioned heat redistribution system and tested it using six two hundred liter polyethylene barrels. The latter was done by fitting the barrels with a four‐inch hole at the top and bottom and a mesh grid at 8 inches from the bottom to hold the 0.15m3 of compost. A mixture of dog food and wood chips was utilized due to their low cost and availability. To insure the statistical validity of the results, six composting vessels were built, three controls and three barrels fitted with the heat redistribution system; a statistical analysis was then conducted to determine if we
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had obtained valid results. The objective was to test the effectiveness of the designed system to transfer heat throughout the compost media and permit uniform composting throughout the latter, therefore a fully cured final product. The main constraint within the design of the heat redistribution system was the fact that no external inputs of energy were to be added; the system was to be self‐sufficient.
Results obtained in the past suggested to a 99.5% confidence coefficient that the heat redistribution system was meeting it’s objective of distributing the heat uniformly throughout the barrel. We were also able to suggest that the system had the potential of accelerating the composting phase and producing a cured product quicker than the barrels not fitted with the heat redistribution system. We did however notice that a significant amount of heat was lost from the four inch whole at the top of the polyethylene container. These wholes, one at the top and bottom were put in place to insure that the air would circulate throughout the composting bed, favoring aerobic bacterial growth and reducing the production of odorous gasses. Therefore, in a quest to reduce heat loss and favor higher temperatures and a prolonged thermophilic phase we have gone about designing an air exchange system. This system (AES) should be able to permit oxygen to be replenished throughout the composting media while minimizing losses through the four‐inch wholes. Sketches of the heat redistribution system (HRS) and the air redistribution system can be found in Appendix B, Figure 12, and Appendix C, Figure 13.
Design of the HRS System
FUNCTION
The heat redistribution system utilizes the heat produced, under the form of energy from microorganisms, and distributes it throughout the composting media permitting temperature gradients to be lowered and the compost to be at the same composting phase throughout the process. Essentially, as the heater core placed at the center of the barrel is heated by the microbial activity, the density of the water within the latter drops. The density gradient of the water within the heater core and copper tubing causes the water to flow from the heater core to the plastic piping and into the copper tubing throughout the compost heap. This process is called thermal driving. The difference between the forces of gravity exerted on the two volumes will cause the warmer fluid to rise and the colder fluid to sink. The continuous warming of the barrel is based on this principle. As the microorganisms within the compost bin begin to digest the nutrients, heat will be dissipated and once it has elevated the water’s temperature to the proper level, the warm water will slowly rise as the cold water spirals down the copper tubing towards the bottom of the barrel. When the aforementioned occurs, the heat from the center of the barrel is evenly distributed throughout the composting mixture due to the high conductivity of the copper tubing, without external inputs of energy. The latter permits the compost to be at the same microbial phase, whether that be mesophilic or thermophilic, essentially eliminating pockets of undigested organic mater and ensuring that the final product is completely cured. The four‐inch holes, made at the top and bottom of the barrel and the clearance produced by the grill and V‐bent steel supports also permit air to flow, through convection, throughout the media, permitting aerobic conditions. The latter reduces the amount of VOA (volatile fatty acids) emitted by the compost, therefore reducing the unpleasant ammonia smell caused by the decomposition process.
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A Solid Works model was designed to better understand the layout of the heat redistribution system and its implementation before the construction and testing of the barrels that was done. From the Solid Works drawings and previous work, the construction of the vessels was much facilitated; see figures in Appendix B. The latter also probably contributed to the final results not being hindered by technical errors. Furthermore another simulation model was designed including the ARS system to establish a better reference in terms of space and sizing. The latter would be used to simply have a better understanding of the way the system would come together when the HRS and the ARS system are implemented. Note that in Appendix B Drawings 1 to 6, the lid of the 200 Liter Polyethylene barrels was not included.
The latter is to ensure that the system can be properly seen.
CONSTRUCTION
As mentioned previous, the materials used within the HRS design involved a heater core, five feet (1.50 meters) of copper tubing and about 2 feet (0.6 meters) of braided plastic piping. Therefore, for the barrels fitted with the heat redistribution system, three five‐foot coils of copper tubing, with an inner diameter of 4/8 inch (0.01 meters) were used along side three 2‐feet segments of 5/8 in. (0.0158 meters) inner diameter plastic piping and a 3‐way control valve. A zinc coated mesh grid would be fitted into each of the six composting vessels. V‐bent steel bars to hold the total weight of compost would support the latter. A four‐inch (0.1m) hole would be made at the center of the top lid of the barrel and another four‐inch hole would be made 8 inches (0.2m) from ground height, to insure there would be airflow throughout the composting media. The heat redistribution system was assembled and tested by inserting the heater core into a water bath and increasing the temperature of the water bath until water motion could be observed throughout the
clear plastic, care was taken to ensure flow was occurring throughout the piping and the water motion did not only consist of localized turbulence. It had been determined that around 35°C water would start flowing. After testing all three of the heat redistribution system, frames were designed to hold the latter and insure the heater core would be at the center of the two hundred‐liter polyethylene barrels, as shown in Figure 2. The heat redistribution systems were then fitted to their respective barrels. The 200L plastic vessels were then insulated with mineral wool and bubble rap to minimize heat losses from the sides of the barrels. All vessels were then transported to the Bioresource Engineering Laboratory for further testing.
Figure 1:
Picture of the heat redistribution system, before being placed into the insulated compost barrel.
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HRS CALCULATIONS
Thermal Driving
Thermal driving head is the force that causes natural circulation to take place. It is caused by the difference in density between two bodies or areas of fluid. When we have two volumes that are at different temperatures, then the volume with the higher temperature will have a lower density and hence less mass. The inverse is also true, which is why the volume with a lower temperature will have a higher density and a greater mass. The higher temperature will not only bring about a lower mass, it will also lower the force exerted on the fluid by gravity. The difference between the force of gravity exerted on the two volumes will cause the warmer fluid to rise and the colder fluid to sink (Munson et al., 2005).
The continuous warming of the barrel is based on this principle. As the microorganisms within the compost bin begin to digest the nutrients, heat will be dissipated and once it has elevated the waters temperature to the proper level, the warm water will slowly rise as the cold water spirals down the copper tubing towards the bottom of the barrel.
Friction in the pipes
Two main factors were considered: the Reynolds number and the head loss due to friction. The former is necessary to determine whether the flow is laminar or turbulent and the latter to establish the losses in the system due to the choice of material. It is important to maintain a laminar flow because it is more stable and it will lower the pressure drop in the pipes. Turbulent flow is a much more complex process although it should theoretically enhance the heat and mass transfer processes.
Materials
HOMOGENEOUS COMPOST
Two options were available for the organic waste material: dog food and chicken or cow manure. Dog food was chosen over manure chiefly for its conformity. Since the experiment will be repeated in the future, a more conform material was favored to avoid discrepancies between experiments and between the 6 barrels that were set up for this design. Additional features include the greatly reduced amount of pathogenic organisms and its FDA approval (FDA 2010). Another beneficial aspect is the dog food’s water absorption capacity. Several materials were also considered for the bulking agent: sawdust, shredded paper, straw, and wood chips. Sawdust was rejected since we needed a material that could provide structure to the mixture.
The use of shredded paper was an interesting option since it permitted the recycling of old material, but as with sawdust, it wouldn’t provide adequate structure. When comparing the remaining two materials, as with dog food and manure, the issue of availability was noted. Since another experiment run is scheduled for this spring, similar materials must be available at that time. Straw would have been more difficult to obtain than woodchips at that point, and if obtained would have been of a different quality than the fresh straw collected in the fall. Wood chips were also favored for their larger size, providing suitable structure to the compost, as well as their availability and consistency.
In order to determine the total mass of compost materials, a volume and density had to be established. The height of compost was chosen to be 26 inches (0.6604 m) and the diameter of the 200‐litre polyethylene barrel was 21 inches (0.5334 m). From this information, the volume of compost material was found to be 0.15 m3. The density of the mixture was assumed to be 550 kg/m3, after consultation with an expert on the matter (Dr. S. Barrington, PhD, Agr. Eng., McGill University), yielding a
wood chips accounted for 4.9 liters of water (based on information in Table 1) and so 44.6 liters of tap water theoretically had to be added to the compost mixture. To ensure that such a large quantity of water would remain within our system rather than leak out through the bottom 4‐inch hole, the wood chips were soaked for 3 days in a white plastic bin with a depth, width, and height of 0.57, 0.86 and 0.58 m.
Once the materials were purchased, they were analyzed in a laboratory for moisture content, density, percent total solids and percent ash content. To determine total solids, three samples of each material were weighed, placed in an oven at 103°C for 24 hours and weighed once more (see Sample Calculations, Eq. 5). The remains were then placed in a furnace, set to a temperature of 550°C for 5 hours, to determine the ash content of both materials (see Sample Calculations Eq. 6). Ash content is expressed as a percent of the total solids. The density was measured by weighing the samples in a crucible of known volume. Characteristics of the final compost mixture were analyzed in the same manor as the dog food and wood chips, however 6 samples were tested instead of 3. Results from the laboratory analysis of the compost materials will be further discussed in the Analysis section. With these results, calculations were verified and iterations were conducted once more to yield more accurate masses of each ingredient, based on measured parameters.
Once the materials were purchased, three samples of each dog food and wood chips were analyzed according to the aforementioned methods. The data obtained is presented in Appendix C: Tables 5, 6 and 7. In tables 2 and 3, results for mean moisture content, mean total solids content and mean ash content are presented for both dog food and wood chips. The moisture content and total solids content were close to the values that had been initially assumed. This indicates that the calculations made to arrive at desired masses dog food and wood chips based on a theoretical C/N ratio respected the characteristics of the chosen composting materials. However, the densities were quite different with 341.3 and 162.0 kg/m3 for dog food and wood chips respectively. Also, the moisture content of the wet
A Hewitt Packer Data logger (Model #: 34970A) was used to acquire the temperature readings from the three pre‐determined heights previously mentioned.
The latter was set to take temperature readings at fifteen‐minute intervals and the data was extracted from the data logger every day.
The data was collected for a period of thirty days, running three control barrels, labeled CX‐# and three barrels fitted with the heat redistribution system, labeled HR‐X# (X varies from A to C and # vary from 1 to 3) as shown in figure 3.
Figure 3: Labeling schematic of the thermocouples.
Three things are apparent when evaluating the graphs above (Fig. 4). One of the latter would be the fact that the green lines on all of the charts, representing the top thermocouples, seem to have more aggressive and unpredictable variations than the other lines. This is due to the unforeseen effects of compaction. It was not taken into account that compost volume would be reduced to that extent (70 mm decrease in height), exposing the top thermocouples. The aforementioned lead the top thermocouples to measure ambient air within the composting vessels instead of the actual temperature at the top of the compost media. Another aspect worth noting is the higher temperature that the vessels fitted with the heat redistribution system (HRS) attain. The preceding is assumed to be due to the heat being uniformly distributed throughout the composting vessels fitted with the HRS, favoring the microorganisms of thermophilic nature, permitting the latter to attain full maturation and in the process permitting the vessels to attain higher temperatures.
The third phenomenon that can be observed involves the smaller temperature differences noticed between the center and bottom thermocouples (Red and Blue lines respectively) in the vessels fitted with the HRS, notably between 35 and 50 degrees Celsius. More so, after 400 data acquisitions, it can be noticed that the temperature starts decreasing in the control barrels, whereas the HR vessels temperatures continue to rise. This also can be attributed to the heat redistribution system and will be discussed further in the discussion section. A better depiction of the latter can be observed in Figure 5 and Figure 6, where the difference of temperatures between the center and bottom thermocouples were averaged out for the control and HRS vessels. It can be observed that temperature of the HRS vessels do not attain as large differences as the control, demonstrating that over the period of nine days and 861 data acquisitions, the vessels fitted with the heat redistribution system seem to have a more uniform temperature gradient.
ANALYSIS OF RESULTS
Having plotted the average difference between the middle and bottom temperature readings of both the control barrels and the heat redistribution barrels, it is essential to establish whether the sample means for temperature differences of the control and heat redistribution systems are significantly different. Using a right‐
hand one‐tailed test about the equality of two population means, it was found that the average temperature difference in the control barrels was significantly larger from the average temperature difference in the heat redistribution system. It may be affirmed that the average temperature difference in the heat redistribution system is in fact smaller than the average difference in the control barrels with a confidence interval of 99.5%. This confirms that the design is functional in that it succeeded in warming the compost mixture in a more uniform manner and attaining higher temperatures than the controls, without any external inputs of energy. This test was based on the sample means: 5.493°C for the control and 4.742°C for the heat redistribution system, and the sample variances: 9.652 for the control, 5.019 for the heat redistribution system. Detailed calculations are presented in Sample Calculations set b, Appendix G.
From the above analysis, the HRS has demonstrated its effectiveness in permitting the barrels to attain higher temperatures than the controls and to have a more uniform temperature gradient throughout the compost media. This more uniform temperature gradient could be effective in destroying pathogenic organisms, increasing the quality of the final cured product and potentially reducing the composting time. It should be mentioned that even without the top thermocouple, the results are valid and statistically sound. The comparison between center and bottom thermocouple readings to determine temperature distribution and uniformity is statistically sound. More so, in the controls, midway through the experiment it seems that the temperature stabilizes and starts to decrease. The latter is most likely due to the compost not being able to attain the second tier of the
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thermophilic phase due to pockets at lower temperatures inhibiting the growth of the required thermophilic bacteria and slowing down the composting process.
Whereas the barrels fitted with the HRS are able to continue their gains in temperature and also maintain, on a general basis, a smaller overall temperature gap. When evaluating Figure 5 and Figure 6, it was observed that overall the temperature difference within the control vessels is higher than the temperature difference within the barrels fitted with the HRS. One also has to take into consideration that, as mentioned previously temperature starts decreasing in the control vessels around the four hundredth scan, whereas the temperature within the HRS barrels continues to increase even after the last data scan that was recorded. The latter could explain the second half of Figure 5, where temperature differences within the controls seems to drop, but this may be explained by the general decrease within those barrels as microbial activity diminishes.
Relying on the statistical analysis procured in the Sample calculations set b, it is possible to declare that the heat redistribution system has attained the set out objective of homogenizing the temperature throughout the composting media, increasing the speed of composting and permitting the barrels to attain higher temperatures possibly destroying pathogenic organisms throughout the compost.
The speed of the composting process will be further discussed in the next report, since data gathering is still underway. The latter gives a strong argument to continue the development and ameliorations procured in the improvements section and the possible implementation of the HRS on a larger scale, increasing the efficiency of composting and it’s applications in a residential, industrial and commercial basis.
Risk Assessment & Failure Mode
A limitation of the design would be the potential failure of the heat redistribution system. Failure could occur during the filling phase, where the dumping of the compost onto the HRS could cause a water leak and hence disrupt the flow in the copper tubing. However, care was taken when the latter was done. More so, another factor that cannot be fully remediated for or observed during the running phase of the compost would be the reduction or stoppage of flow throughout the piping of the HRS. The latter could occur if an air bubble were to enter the system, causing blockage, or if a kink was caused by the weight of the compost itself. However, one must take into consideration that even if there were to be some sort of limiting factor that would cause the stoppage of flow, the high conductivity of the copper tubing could still permit the heat to be transferred from the center of the barrel, through the heater core, into the water within the latter and throughout the rest of the piping and fluid by conduction. The latter should be taken into consideration, because uniformity in the temperature gradient does not necessarily imply flow within the piping. It is important to mention that the HRS was tested by inserting it in a heated water bath set at 20°C and increasing the temperature in increments of five degrees until flow could be observed throughout the transparent plastic tubing, therefore demonstrating that the design was sound and able, under ideal circumstance to transmit warmed water throughout the piping. Flow occurred around 35°C in all three of the HRS systems. A method of reducing kinks and leakage would involve reducing the length of the plastic braided piping to avoid excessive twisting motions, and evaluating the copper tubing, before filling, ensuring there are no apparent or hidden kinks and avoiding any abrupt changes in the direction of the copper tubing. Another important aspect to mention is the environment in which the barrels are run. The location where the units were placed was maintained at a temperature of 20 degrees for the first two days (192 scans) and then at 25 degrees Celsius for the rest of the experiment. The latter should be taken into account in
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future runs. To avoid additional discrepancies in the future, a logbook should be kept with the date and time at which the Bioresource Engineering Laboratory was accessed since it was brought to our attention that fellow students who had work to complete in the Engineering Lab would leave the door open in an attempt to reduce the fowl smells emanating from the compost barrels. The breeze created in the barn could be responsible for the erratic behavior of the top (exposed) thermocouple readings. Finally, in terms of risk assessment it is important to have respiratory protection when dealing with any types of large volumes of compost. For the purposes of this experiment data was uploaded once a day and a respiratory safety device was used. Another important safety aspect would involve contact avoidance with compost that is left as residue on the sides of the barrels.
ISSUES
During the testing of the HRS, a multitude of issues were encountered. Of the latter, heat loss from the top four‐inch hole, made for aeration was probably of the highest significance. Other issues include the large amount of leachate produced by the compost and the fact that it had to be manually collected and resupplied to the top of the compost pile. The loss of nitrogenous compounds during the decomposition process occurs mainly through emission of gases such as NH3 and NOx, as previously mentioned. This loss of nutrients may have a significant impact on the nutrient balance of our system. Since the compost vessel is well isolated, it is assumed that the majority of nitrogenous emissions are exiting through the 4‐inch hole at the top of the barrel. Heat is also lost through the same opening. These issues will be addressed by recirculation the warm air produced by the compost by means of an air‐to‐air heat exchanger. Also, the reduction in compost volume was not anticipated to be so large.
Air Redistribution System ARS INITIAL DESIGN
To deal with the heat loss from the top four inch whole, we had to find a method to keep the process aerobic while reducing heat flow from the top of the container. To achieve the aforementioned an Air Redistribution System (ARS) was designed. The latter would simply consist of a chimney that would be able to re‐circulate the air into the bottom four‐inch hole while maintaining the oxygen supply. The initial design is depicted in Figure 7.
Figure 7: Sketch of the design III concept.
inflow of ambient, quiescent air due to kinks that might occur during the construction or assembly processes.
Since the designed system has no external input of energy, it relies on free convection to drive the heat exchanger. This free convection originates when a body force acts on a fluid in which there are density gradients. The net effect is known as buoyancy force and it induces free convection currents (Incropera et al., 2007). In this case, the body force is gravity and the density gradient is temperature. The process begins as the warm air, resulting from the microbial activity, rises through the inner cylinder due to buoyancy since the density of the warm air is lower than that of the ambient air. At this point, we have assumed that the warm air is evenly distributed throughout the entire cylinder, up until the point where it leaves the inner cylinder through a similar 4 inch diameter (101.6 mm). The inner cylinder should be composed of a highly conductive material. Below, in Table 5, are a list of metallic and non‐metallic materials with relatively high conductive properties.
Metal
Conductivity, k (W/m*K)
at 330 K
Silicon Carbide 490
Silver 428
Copper (pure) 399 Beryllium Oxide 247 Aluminum (pure) 238
Magnesium 155
Tungsten 141
Zinc 114.3
Iron 77
Tin 65
Commercial Bronze (09% Cu, 10% Al)
52 Chromium steels 48.2
Diamond 2047
Table 5: Conductive properties of metals and non‐metal materials.
Source: Incropera et al., 2007.
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Obviously, diamond and pure silver are not in our budget. Silicon carbide can be purchased in Canada at a price of 277.00$ for a 50mm by 50mm sheet (): 110’800$/m2. This is much more expensive than copper, which can be purchased for 26$, for a 1ft x 2 ft sheet (www.whimsie.com/coppersheetwire), around 140$/m2. Thus, copper is more affordable and still has very high conductivity, k. As for the outer cylinder, the same polyethylene material that compost vessel is made of will be used, along with the same insulating materials, which were mineral wool and bubble foil insulation with thermal conductivities of 0.042 W/mK and 0.034 W/mK respectively (Incropera et al, 2007, Appendix A).
DETERMINING THE BOUNDARY LAYER
As the ambient air, approximated at 20 °C, comes into contact with the warm surface of the inner cylinder, a thermal boundary will develop due to the difference in temperatures. The fluid particles coming into contact the metallic surface will achieve thermal equilibrium at the solids surface temperature. These particles will then exchange energy with those adjacent to them in the fluid, creating a temperature gradient in the fluid. The region in which this gradient occurs is defined as the thermal boundary layer, at the leading edge of which the temperature profile will be uniform, with T(y) equating T∞ (defined as the ambient temperature).
However, the standard equations do not apply in this case, since there is no forced convection and the plate, or rather cylindrical surface, is vertical. As a result, the governing equation will involve the dimensionless parameter Gr (Grashoff number), whose function may be compared to that of the Reynolds number in situations of forced convection, and that measures the ratio of buoyancy forces to the viscous forces acting on the fluid (Incropera et al., 2007).
The 5mm distance will be the length between the inner cylinder’s surface and the perimeter of the outer insulated cylinder. It is also important to note the state of the fluid. Flow is considered laminar if the product of the Grashoff (Gr) and Prandtl (Pr) numbers are below 1x109 (Incropera et al., 2007). In our case, Gr0.8m and Pr were
1’970’259’723 and 0.706 respectively, which yields a value of 1.3 x109. Since the value obtained is very close to the 109 limit, this indicates that at the height of 0.8 meters, the flow is beginning to transition from laminar to turbulent. However, throughout most of its length (0m to 0.7m), the air redistribution system demonstrates laminar flow patterns, according to the equations previously mentioned.
Additionally, in order to increase the surface area of the inner, heat conducting cylinder, two options were available: vertically aligned fins (straight, triangular or parabolic) or folding the copper sheet to create ripples along the surface. Although the fins might generate a slightly larger surface area, it was more realistic to create the folds on the surface of the copper sheet than to firmly attach 60 individual fins.
To determine the amount of folds required, the perimeter of the inner cylinder (319.9 mm) was divided by the number of spacings. In the table below, several spacings were calculated.
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Number of
Spacings Width of spacing
(mm)
Length of Fold (mm)
New Perimeter (mm)
Perimeter with Fins
(mm)
10 31.92 5.00 99.92 346.19
15 21.28 4.43 132.95 361.19
20 15.96 4.12 164.83 376.19
25 12.77 3.92 196.11 391.19
30 10.64 3.78 227.05 406.19
35 9.12 3.68 257.77 421.19
40 7.98 3.60 288.33 436.19
45 7.09 3.54 318.79 451.19
50 6.38 3.49 349.17 466.19
55 5.80 3.45 379.49 481.19
60 5.32 3.41 409.76 496.19
65 4.91 3.38 439.99 511.19
70 4.56 3.36 470.20 526.19
75 4.26 3.34 500.38 541.19
Table 8: Values for the perimeter of the inner cylinder, dependant on the number of spacings assigned.
Evidently, the new perimeter has to be larger than the perimeter of the 4 inch diameter, discarding all spacings under 46. Once again, feasibility of construction is key; we need the highest number of spacings possible without it being too small for us to actually build. We decided on 60 spacings, yielding a new perimeter of 409.76 mm, a 29% increase compared to the initial 4 inch diameter. From Table 8, the column on the complete right indicates what the perimeter could have been, had we chosen the impractical fins. It is higher than the folds, however if both are compared at 60 spacings, the difference is less noticeable than at 15 spacings. A graphical depiction facilitates the comparison: the perimeter with folds increases more rapidly that the perimeter with fins (Figure 11).
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VELOCITY AND MASS FLOW RATE OF WARMED AMBIENT AIR
The mass flow rate of the warmed air was also determined. Mass flow rate is a function of the air density, velocity and cross sectional area of flow (Incropera, 2007).
ρ = 1.0682 (at 328 K) A = (πD2)/4
= (π * (0.1016 m )2 )/4 = 0.008107 m2
where:
ν: velocity, m/s
g: gravitational acceleration, 9.81m/s2
L: vertical distance from bottom of the surface, m.
ΔT: Temperature difference, Ts‐T∞ =35 K
T∞: Ambient “room” temperature, 293K ν = 0.6 m/s
Hence, the mass flow rate of the fluid at room temperature (293K) has a velocity of 0.6 m/s and a mass flow rate of 0.005196 kg/s as it comes into contact with the hot metallic surface that the inner cylinder consists of.
ARS SUMMARY
The air redistribution system consists of two vertical concentric cylinders, both of 0.8m in height. The inner cylinder will be constructed using a thin copper sheet to enhance the conduction of heat from the exhaust air of the compost and will be left open at the end. The inner cylinder will have a star formation with 60 spacings of 5.32 mm each, providing a perimeter of 409.76 mm and a surface area of contact of 327’808 mm2 (0.328 m2). Additionally, the length of each of the 120 folds will be of 3.41 mm.
The outer cylinder will be made of polyethylene, covered in the appropriate insulation as described above, and the top surface will not be left open since the fresh incoming air will be directed towards the bottom of the compost vessel, rather than lost to an opening at the top. To ensure inflow of fresh air, the outer cylinder will be punctured 5 cm intervals from the bottom, 2 cm intervals along the horizontal, and a well insulated 2 inch diameter piping system will connect the bottom section of the outer cylinder to two the 2 inch openings that will be present on either side, at the bottom of the vessels. See Appendix C.
TESTING & SIMULATION
Construction and testing of the air redistribution system should begin this summer.
These results should help better determine the precision of our calculations and the overall efficiency of the system itself. During the experiment, we intend on inserting 3 thermocouples within the inner copper, star‐shaped cylinder: the first just above the compost vessel’s 4 inch opening, the second at 0.4 m in height and the third at the exit (0.8m). Thermocouples will also be placed in the section between both of the vertical cylinders, at the same heights. The last pair of thermocouples will be
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measuring the temperature of the air as it leaves the insulated piping and enters the compost vessel from the opening at the bottom.
Essentially the testing is a process where calculation methodologies will be compared to their empirical standings and adjustments will be made to mend the discrepancies.
Economic Overview
The fact that the HRS and ARS system can be implemented on a small scale, for example on a municipal level, on a medium or large industrial level for a number of reasons increase the probabilities that such a system might be commercialized. The purpose of our design being a proof of concept we concentrated on demonstrating that the system was functional. However, considering the increasing prices of land filling and the popularity of bioremediation the system could be a cost‐effective solution for the latter.
Note that the approximate cost of the HRS & ARS systems, including the two hundred litter vessels hovers around 90$, that said one could cut costs and used recycled material to build and implement the Composting Bioreactors. Land filling in Canada has an average cost of around 85$ per ton, however the total environmental cost of the latter including the eco‐system benefits that a landfill will destroy or hinder does not have a set value. Note also that land‐filling will be subjected to higher taxes in the upcoming years and that the Composting Bioreactors bearing HRS and ARS system could be used for thousands of composting cycles with very little maintenance considering there are no mechanical parts and that it utilizes no external inputs of energy. Overall the composting reactors, on the short run, might be more expensive, however the future benefits are much higher than the initial cost considering the final product could be used or sold as soil fertilizer and the fact that land‐filling is seen as an outdated methodology.
Assuming that a composting bioreactor can hold 90 kg of compost per run and requires thirty days to compost the latter with an initial cost of 90$ and a lifecycle of a thirty runs the total cost for 2700 kg of organic matter is 90$. The latter does no include the labor that it requires. Assume a person is paid 12$ per hour to fill the barrel as a secondary task to their main employment and that it take fifteen minutes to fill/empty a barrel that is 180$ labor expense for 30 runs summing up to a total of
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270$ for 2700kg therefore, about 100$ per ton. Now consider that the land not used by the organic waste is kept as a natural habitat and a part is utilized for the building of a housing project or a park. The latter would offer Eco‐System benefits that the landfill would on the other hand take away. The bioremediation capacities of composting could also be utilized on a small or large‐scale operation.
On a larger scale assuming 10.8 tones of organic matter, therefore 10 800kg needed to be land filled on a span of 1 year and that the composting bioreactor would cost 70$ to mass produce (recycled material). If one were to land‐fill the 10 tones it would cost a total of 920$, whereas 10 bioreactors could have an output of 900 kg per cycle and 10 800kg output per year. The total cost of the reactors would be (10*70)+(10*0.25*12*12*2)= 1420$. However, cured compost can be resold at a price of approximately 25$/ton. Therefore (10 800kg/ 1000)*25= 270$. That said, the total cost of composting the soil and selling it would come back to a loss of 230$
including the hassle of having someone fill and empty the vessels.
From the economic point of view, keeping in mind that there is no discounting, the overall cost of operating a two hundred liter vessel seems to be higher than simply sending the contaminated soil to a land fill. However, as taxation increases for landfilling and as public opinion turns against the latter practice, it will not be a viable option. Also, the reactors could be built on a larger scale to save time and money. Also, some items like the heat exchanger within the HRS system could be recycled from a junkyard. A more in debt analysis utilizing discount rates, Initial Cost analysis and exact item prices would yield more concurrent data on whether such a project could have an industrial or municipal application.
Conclusion
Having demonstrated to a 99.5% confidence level that the HRS system is functional and is distributing the heat uniformly throughout our composting media we can say that the initial objective of testing and assessing the effectiveness of the HRS system has been attained. The second part being the design of the ARS system was also completed. Although the feat of designing and testing the HRS system is a design project in itself the engineering process was also utilized in the second half of the project, as the ARS system required a very rugged mathematical and simulation intensive design process. One should note that the Composting Bioreactors have received a significant amount of attention in the past few months, investment and funding for the latter project, including an application for a patent is now a possibility. Future considerations should involve the testing of the ARS system as done for the HRS system, meaning a three standard to three ARS fitted 200L polyethylene vessels should be run along side to determine the effectiveness of the latter. The ARS system should be able to maintain higher temperatures than the standard barrels for a prolonged period of time. Therefore the data analysis would compare maximal temperatures attained and the length of the time these temperatures can be maintained in the standards and in the ARS fitted systems.
Another test could involve fitting three vessels with the HRS and ARS designs and three only with the HRS. Either of the latter tests would require a rugged statistical analysis to validate the data once it is compiled.
In conclusion, one can with great certainty declare that from an academic point of view the Composting Bioreactors are a success in that the proof of concept has been attained. From an economical or industrial point of view much testing and manipulations should be done to better the reactors for larger scale use and to lower the cost of the final product. In essence, the Composting Reactors are a work in progress as any other feasible engineering design; there is much room for improvement.
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APPENDIX D
SKETCHES OF THE COMPOST BIOREACTORS
Drawing 1: HRS & ARS Full‐Size Representation
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Drawing 2: HRS & ARS Full‐Size Representation
Drawing 3: HRS & ARS full‐size representation with inner contents visible.