The design process began with establishing clear objectives to guide the development of a banana dryer that could effectively operate within Fiji's unique conditions. A thorough literature review identified a wide range of existing designs and technologies, providing a foundation for building our customised solution. From this research, four design options were shortlisted for further evaluation. Preliminary calculations were conducted on these options, which were then assessed and ranked against the design objectives using a weighted scoring system. This rigorous process ensured the selection of a final design that best met all criteria.
Opting for a batch of 10 kgs of bananas is not just a cost-effective choice but also a highly efficient one. This quantity, which fits into 11 trays and includes approximately 88 bananas, yields about 1.6 kgs of banana powder. This practical and effective output can be used for culinary or commercial purposes, making it a financially sound investment.
Banana dryer is not just a one-size-fits-all solution. Its scalable design during manufacturing allows to produce larger dryers as per the demand. This flexibility is achieved by incorporating additional batteries, solar panels, and dehumidifiers, which adjust the dryers' functionality and capacity. This adaptability ensures that the dryers can efficiently respond to increased capacity requirements and technological advancements, making them a future-proof investment.
Banana dryer has been designed with simplicity in mind, ensuring it is easy to maintain and repair. Its straightforward design reduces the system's complexity, enabling farmers to perform all necessary maintenance tasks efficiently. This user-friendly approach simplifies upkeep and minimises the risk of component failure during transportation. By addressing these factors, the dryer provides a reliable and efficient solution for drying bananas, allowing farmers to focus on their core 10 activities without worrying about intricate technical issues. This design instils confidence in the dryers' ease of use and maintenance.
Fiji, an island nation with over 300 islands, requires efficient solutions for transporting equipment across its diverse geography. The dryers' portable and modular design addresses this need by ensuring they can be easily transported using various methods, whether by boat, plane, or vehicle. This flexibility in transportation facilitates the movement of dryers between islands and ensures they can be quickly and efficiently deployed wherever needed, supporting Fiji's unique logistical challenges.
In designing structures in Fiji, it is crucial to utilise materials that are tolerant to weather conditions, given the island's unique climate challenges. With its hot and humid environment and exposure to sea spray, materials must be selected for their resilience. Additionally, the island experiences significant monthly rainfall ranging from 80 to 400mm (CRU, 2021). Therefore, incorporating materials that can withstand such climatic extremes will ensure the durability and longevity of the structures.
We will begin with an initial build of five units, allowing us to gauge the feasibility without committing substantial funds upfront. This approach enables us to assess the success of the dryers across different regions of Fiji. By strategically distributing these initial units, we can evaluate their performance in various areas and determine the project's viability before scaling up production.
Sustainable and environmentally friendly practices are crucial for preserving our planet's resources and ensuring a healthier future for all. By adopting sustainable methods, we minimise waste, reduce pollution, and conserve natural resources, all of which contribute to a more balanced ecosystem. Environmentally friendly approaches, such as using renewable energy sources, reducing single-use plastics, and promoting biodiversity, help mitigate climate change and protect wildlife habitats. These efforts support the environment, foster economic growth, and enhance the quality of life for communities worldwide.
3.2. Design Calculations
A series of design calculations have been developed for our chosen design option, these calculations are based on information gathered during the literature review, assumptions objectives and constraints outlined. Some values used in the calculations have been estimated based on available data or the expectation that they will not greatly impact the final required values.
- (1)
Solar collector irradiation calculation results
Suva latitude = 18.1405o
Suva longitude = 178.423o
Calculations are based on May 20 at 0900 hrs, then Ξ¦ = -18o
Irradiance measured on a horizontal plane = Gh = 1.0 MJ/hm2
Declination Ξ΄ = 19.93o
Hour angle = - 45o
Angle between the beam radiation and the vertical, ΞΈz = 58.2o
Assuming the diffusion component is insignificant compared to the beam component,
Beam component of irradiance G* = 1.90 MJ/hm2
Slope of the solar collector = 30o
Azimuth facing due North = - Ξ³ = 180o
Angle between the beam and the collector = ΞΈ = 43.9o
Irradiance on the collector (neglecting diffuse radiation) = Gc = 1.36 MJ/hm2
Value of diffuse radiation (same in all directions) so Gdh = Gd* = Gdc = 0.5 MJ/hm2
Beam component = Gb* = 0.9490 MJ/hm2
Total irradiation in the beam direction = Gt* = 1.445 MJ/hm2
Total irradiation on the collector = Gc* = 1.18 MJ/hm2
- (2)
Dryer Design Calculations
Initial moisture content 75%
Final moisture content 8%
Batch size (initial weight of banana slices) = 50kg
Batch size (dried chips) ~ 50/6 = 8.3kg
Slice thickness (before drying) = 0.4cm
Tray size = 80cm x 80cm
Bananas per tray = 4
Banana weight (pulp) = 114.54 grams
Number of bananas per batch = 50,000 grams/ 114.54 grams / banana = 437 bananas
Number of trays required = 437/4 = 110 trays.
- (3)
Moisture calculations
Design Calculations (from Murali et al.):
The amount of moisture to be removed from the banana slices is:
Mw= (MiβMf)/(100βMf) βm
Mw= (75β8)/ (100β8) β50=36.41kg
Where:
Mw = Total amount of moisture to be removed (kg)
Mi = Initial moisture content = 75%
Mf = Final moisture content = 8%
m = Weight of banana slices for one batch = 50kg
- (4)
Energy Requirements
The heat energy required is:
Qt=MwβLβ
Qt=36.41β2,260=82,286.6kJ
Where:
Qt = Total amount of heat required (kJ)
Mw = Total amount of moisture to be removed (kg) = 36.41
Lh = Latent heat of vaporisation of water (kJ/kg) = 2,260
- (5)
Drying air requirements
Drying air flow rate is:
ma=Qt/(Cpβ(TdiβTdo))
ma=82,286.6/(1.005β (343.15β298.15) =1,819.49kg
Where:
ma = Mass of air required (kg)
Qt = Total amount of heat required (kJ) = 82,286.6kJ
Cp = Specific heat of air (kJ/kg-K) = 1.005
Tdi = Inlet air temperature (K) = 298.15 (25Β°C)
Tdo = Outlet air temperature (K) = 343.15 (70Β°C)
Total volume of air required for the process is:
Va=(maβRβT)/P
Va=(1,819.49β0.287β343.15)/1.016=176,368.84m^3
Where:
Va = Total volume of air required (m3)
ma = Mass of air required (kg) = 1,819.49
R = Gas constant (kPa.m3/kg/K) = 0.287
T = Temperature (K) = 343.15
P = Pressure (kPa) = 1.016
Volumetric air flow rate required is:
Vra=Va/Dt =176,368.84/10= 17,636.88m3/β
Where:
Vra = Volumetric air flow rate (m3/h)
Va = Volume of air required (m3) = 176,368.84
Dt = Drying time (h) = 10
Mass flow rate of air required is:
mra=VraβΟ=17,636.88β1.2=21,164.26kg/β
Where:
mra = Mass flow rate of air (kg/h)
Vra = Volumetric air flow rate (m3/h) = 17,636.88
Ο = Density of air (kg/m3) = 1.2
- (6)
Solar collector surface area required:
Ac=Qt/ (Iβ Dt) =82,286.6/ (1,361β10) =6.05m2
Where:
Ac = Area of solar water collector (m2)
Qt = Total amount of heat required (kJ) = 82,286.6kJ
I = Average incident solar radiation (W/m2) = 1,361W/m2
Dt = Drying time (h) = 10
- (7)
Heat exchanger area required:
LMTD=Fβ((TβiβTdo )β(TβoβTdi))/(ln (((TβiβTdo))/((TβoβTdi)))) LMTD=0.92β((363.15β343.15)β(353.15β298.15))/(ln (((363.15β343.15))/((353.15β298.15))))
LMTD=31.83
Qβ=UβAββLMTD
Where:
Qh = Heat transfer per hour (kJ/h)
U = Overall heat transfer coefficient (kJ/h.m2.K)
Ah = Area of heat exchanger (m2)
LMTD = Log mean temperature difference
F = Correction factor for heat exchanger = 0.92
Tdi = Inlet air temperature (K) = 298.15 (25Β°C)
Tdo = Outlet air temperature (K) = 343.15 (70Β°C)
Thi = Heat exchanger water inlet temperature (K) = 363.15 (90Β°C)
Tho = Heat exchanger water outlet temperature (K) = 353.15 (80Β°C)
Heat exchanger water flow rate required is:
mrw=Qβ/(Cpwβ(TβiβTβo ) )
Where:
mrw = Mass flow rate of water (kg/h)
Qh = Heat transfer per hour (kJ/h)
Cpw = Specific heat of water (kJ/kg/K) = 4.187
Thi = Heat exchanger water inlet temperature (K) = 363.15 (90Β°C)
Tho = Heat exchanger water outlet temperature (K) = 353.15 (80Β°C)
Drying chamber size:
To accommodate 112 stainless steel perforated trays (80cm x 80cm) the drying chamber consists of four columns of 28 trays. Overall dimensions are 2m wide, 2m deep, and 1.8m high.
LPG hot water system:
A 15L hot water system (commonly used in caravans) with a 13kg LPG bottle (common size that is available in Fiji) was chosen for this project.
- (8)
Design Calculations for Banana requirements
Banana pulp size:
Diameter (D)= 4cm Lengtβ of Banana (LB) =20cmβ¬β¬ Slice Tβickness (β) =0.4cm
Banana slice surface area:
A=2Οrh+2Οr2=2Οβ(4cm2)β0.4cm+2Οβ(4cm2)2=25.64cm2
Slices per banana pulp
Slicesperbanana (Ns)=LBT=20cm0.4cm=50 slices
Banana drying tray area:
Length (L) = 80cm Width (W) = 80cm
ATray =LβW=80cm β80cm=6400cm2
Number of slices per tray:
n =AtrayA=(80cm4cm)2=202=400 slices
Bananas per tray:
NBanana= NNs=40050=8bananas
How many bananas to make 1kg of Powder:
Based on research it is assumed it takes 6 kg of bananas to produce 1kg of banana powder.
WeigβtofBanana (WB)= 111.54g
6000gWB=6000g115.54g=51 bananas per 1kg of powder 51 bananas 8 bananas=7 trays per 1kg of powder
Therefore, it takes 51 bananas placed on 7 trays to produce 1kg of banana powder.
- (9)
Air flow and Power calculations
The system is expected to exhaust around 1 cubic metre of air every minute (60 m3/hr), as the system will be heating the air it will not need to draw the same amount of fresh air in. The volume of air that needs to be brought into the system every hour (
FAv) can be calculated by using the exhaust temperature (
Et) the ambient temperature (
At) and the exhaust volume (
Ev). We have excluded the volume change caused by the change in humidity of the air in these calculations.
The temperature of the incoming air after it passes through the Heat exchanger (
It) can be calculated by using the exhaust temperature (
Et) the ambient temperature (
At) and the Heat exchanger Efficiency
Form the literature review conducted it has been determined that cross flow Heat exchangers can have an efficiency of up to 80%, we will be aiming for a heat exchange that allows up to achieve around the maximum efficiency, so calculations will be based on a HEe of 75%
If the system temperature is set at 65 Β°C and the ambient temperature in 20 Β°C with a heat exchanger efficiency of 75% then from the formula above the incoming air temperature will be 54 Β°C and need to be heated a further 11 Β°C.
Using a rough guide, it takes 1kW to raise 1kg (Calculated as 1kg= 1m3 of air at 20Β°C) of air difference of 1 Β°C in one second. Fresh air Volume: 60β2065=18.5 m3/βr
Given that we need to heat 18.5m3 of air every hour we can determine the energy required to raise the air to the required temperature both with the heat exchanger and without. Using the formula below we can work out the instantaneous power required.
With HE raise 11Β°C: W/βrβtemp3600 Sec=W=18500β113600 = 57W
Without HE raise 45Β°C: W/βrβtemp3600 Sec=W=18500β453600 = 231W
For the electric heating element, we convert this to amps.
- (10)
Solar thermal panel
For the Solar thermal panel, we need to look at the solar radiance and efficiency to work out the minimum required surface area of the panel as well as the maximum size that the system can handle without causing the system to overheat.
Min Power 57W+losses
Max power 231W+losses
The Panel could be design with a power greater than the maximum stated above to allow the system to be more effective on low sunlight days, but the system operator would need to cover part of the panel on full sunlight days when the system is set to lower temperatures to prevent overheating
- (11)
Electrical component power allowances
We have calculated the Battery Storage that is required to run the system outside of sunlight hour by using the electrical component power requirements (Wattage) and the time it will be used for outside of sunlight hours per batch with the formula below. We have aimed for a batch time of 10 hours and allowed for 6 hours of sun on an average day leaving a 4-hour period to be powered off the battery. Aβ=Watts/VoltsβMinutes used60(or Time used in Hours)
Grinder Mill:
From the literature review conducted it has been found that off the shelf grinder mill options that are around 300W can grind around 100 β 150 g per minute, given that the batch size will be around 1.6kg it will take around 15 mins to process the batch. From the calculations below we can determine that we will need to reserve 7Ah of the battery for this purpose. Aβ=Watts/VoltsβMinutes used60=300/12β15/60=6.25Aβ
Fan:
The design will use a 70w fan to circular and exhaust air, which will run constantly while ever the system is on. Aβ=Watts/Voltsββours=50/12β4=17Aβ
Heating element:
From calculations above the heating element will need to be 57W but will allow for a 75W element to allow for heat loss out of the system. Aβ=Watts/Voltsββours=75/12β4=25Aβ
Electronic control system:
We will allow 0.5 Amps for the electronic control system including the damper actuator 0.5Aβ4β=2Aβ
Total storage required on an average day is 51Ah
- (12)
Low sunlight days
For days with less sunlight, we would like the system to still be able operate and complete a batch using the limited sun it gets and the leftover storage for the previous day.
Redoing the above calculations based on a batch being completed soly off the battery storage gives a need for 116Ah, this does not consider the energy requirement to initially get the system up to temperature.
- (13)
Battery and Solar PE panel Sizing
Allowing for 10% efficiency loss and a battery degradation or around 25% over its lifespan we have calculated 172Ah of battery storage is required.
Solar PE panel sizing will be based on replenishing the required battery storage in one day whilst the fan and control system are running. Required power in kW/h will be 2.4kWh given a solar radiance of 5.4 kWh/mΒ²/day a panel efficiency of 20% degraded to 18% over the life of the panel (degraded 1%/year for 10 years), the solar panel area will need to be 2.4 m2.
BatteryStorage =116/0.75/0.9=172Aβ
Fan 50/12β6=25Aβ Electronic control system:0.5Aβ6β=3Aβ
Requiredpower (172+25+3) β12 = 2.4kW/β
Panel area = 2.4β5.4β.18 = 2.4m2
or Panel rating for 6 hours full sun 2400W/β*6β β 85%=470W
- (14)
Tray size and Production Capacity
The calculations of the tray size enable us to determine how many trays are required to perform a 1kg and 10kg batch. By understanding tray requirements, we can determine how many bananas are required based on the given data below.
Banana Pulp:
Diameter (D)= 4cm
Length of Banana (LB) =20cm
Area occupied by one slice (As) = 80 cm2
Slice Thickness (β) =0.4cm
Surface Area A=2Οrh+2Οr2=2Ο(4cm) *0.4 cm+2Ο*(4cm)2=25.64cm2
Slices per banana pulp: slices per banana (Ns) = LBT = 20cm/0.4cm ~ 50 slices
Banana drying tray area:
Length (L) = 80 cm
Width (W) = 80 cm
Area Tray =L*W = 80 cmβ80 cm=6400cm2
Number of slices per tray: n =Area tray/As = (6400cm2/16 cm2) = 400 slices
Bananas per tray: N Banana= N/Ns =400/50= 8 bananas
- (15)
How many bananas to make 1kg of Powder
Based on research it is assumed it takes 6 kg of bananas to produce 1kg of banana powder.
Weight of banana (WB)= 111.54g
6000gWB=6000g/115.54g=51 bananas per 1kg of powder
51 bananas * 8 bananas~ 7 trays per 1kg of powder
Therefore, it takes 51 bananas placed on 7 trays to produce 1kg of banana powder. As the drying chamber houses 8 trays, 1kg of banana powder can be achieved in one batch. To determine how many bananas and trays to produce 10kgs,
51 bananas per 1kg of powder β 10=510 bananas per 10 kg of powder
510 bananas/ 8 bananas=64 trays per 10 kg of powder
64 trays/ 8 trays=8 batcβes per 10 kg of powder
As seen above it takes 510 bananas placed on 64 trays to achieve 10 kg of banana powder. This corresponds to 8 full batches.
- (16)
Typical Drying curve of dehydrating process
Figure 6.
Drying Curve (Chijioke, O, Chukwunonye, C, Nnaemeka, N, & Obiora, C 2016).
Figure 6.
Drying Curve (Chijioke, O, Chukwunonye, C, Nnaemeka, N, & Obiora, C 2016).
The figure above displays the drying curve of a typical dehydrating system. The curve begins with the initial moisture reading of 75% present in the raw banana slices and concludes as a finished product with a moisture reading of 8%. From A-B is the initial adjustment period. This segment expresses the change the banana undergoes from its ambient temperature and moisture content to the start of the drying process. Normally this period increases the moisture present within the product though increases its internal temperature. As the heat will draw surrounding moisture present in the dehydrating chamber into the fruit. B-C expresses the major change that the fruit slices would undergo and removes a large majority of the banana's water content in a short period of time at a constant rate. C-D extends this period especially for foods with a very high moisture content. Though this section removes the moisture at a slower rate than B-C. Period D-E is utilized to take the banana chips from a pliable structure to its final moisture content of optimally 8% compared to its original moisture content of 75%.