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Report
on
Design Calculations for Solar Water Heating
System for Domestic Application
This report is submitted in fulfilment of the requirements of the Seventh
semester B.E. in Mechanical Engineering.
Submitted By
Roll No. Name of Student
60 Sangeet Khule
Under the guidance of
Dr. Sandeep S. Joshi
(Dept. of Mechanical Engg.)
DEPARTMENT OF MECHANICAL ENGINEERING
SHRI RAMDEOBABA COLLEGE OF ENGINEERING &
MANAGEMENT, KATOL ROAD, NAGPUR, INDIA-440013
2020-2021
CONTENTS
Chapter Topic Page No.
LINK OF EXCEL i
Chapter 1 City of Residence 1
Chapter 2 Estimation of Available Solar Resources 2
Chapter 3 Site Survey 4
Chapter 4 Load Estimation 6
Chapter 5 Estimation of Required Absorber Area 8
Chapter 6 Market Survey & Estimation of No. of Tubes for ETC 11
Chapter 7 Economical Analysis & Estimation of Payback Period 15
Chapter 8 Conclusion 18
i
LINK OF EXCEL
(https://onedrive.live.com/edit.aspx?cid=8c4817d6aab2fed0&page=view&r
esid=8C4817D6AAB2FED0!8767&parId=8C4817D6AAB2FED0!103&app
=Excel)
 Arrangement in excel is rough.
 Proper presentation is in the below report.
1
CHAPTER 1
CITY OF RESIDENCE
Fig 1.1. Location
Address:
Hindustan Colony, Amravati Road, Nagpur, 440033
Latitude: 21 ° 08’ 47.4’’ N ( 21.14639° )
Longitude: 79 ° 02’ 46.0’’E ( 79.04611° )
(Location was found out using Google Maps)
2
CHAPTER 2
ESTIMATION OFAVAILABLE SOLAR RESOURCES
Visited the following website for estimation of All-Sky Surface Shortwave
Downward (https://power.larc.nasa.gov/data-access-viewer/)
Fig 2.1. Step 1
Fig 2.2. Step 2
3
Fig 2.3. Step 3
After the completion of steps 1, 2, and 3 we got the excel. With help of it, the
following average value of solar radiation and its graph throughout the year
2020 was generated.
AVERAGE VALUE: 4.908634 kW-hr/m2
/day
Fig 2.4. Graph of solar energy
4
CHAPTER 3
SITE SURVEY
Now we will see the following
Available shade-free area in m2
(With actual photographs, shading analysis,
shade-free area)
As there is very little shade-free area, we will assume that the following area is
a shade-free area
Total Area = 80.321 + 80.321 + 55.741 m2
Total Area = 216.383 m2
6.096 X 13.176 m
80.321 m2
(a) Terrace 1
5
6.096 X 13.176 m
80.321 m2
(b) Terrace 2
55.741 m2
(C) Garden
Fig 3.1. Site survey at 4:00 pm
6
CHAPTER 4
LOAD ESTIMATION
Now we will see the following
( All the calculations and graphs is done using excel )
 Hot water requirement in Liters/day. (150 LPD)
 Hot water consumption pattern for a typical day.
 Required temperature. (49°C)
Table 4.1 Hot water requirement in Liters/day
MEMBERS REQUIREMENT TOTAL
1 20 1 20
2 40 1 40
3 30 1 30
4 30 2 60
150 LPD
LPD = Litres Per Day
Table 4.2 Hot water consumption pattern for a typical day
TIME REQUIREMENT IN LITRES
6:00 AM 0
7:00 AM 0
8:00 AM 40
9:00 AM 30
10:00 AM 20
11:00 AM 0
12:00 PM 30
1:00 PM 0
2:00 PM 0
7
3:00 PM 0
4:00 PM 0
5:00 PM 0
6:00 PM 0
7:00 PM 30
8:00 PM 0
9:00 PM 0
10:00 PM 0
11:00 PM 0
12:00 AM 0
1:00 AM 0
2:00 AM 0
3:00 AM 0
4:00 AM 0
5:00 AM 0
6:00 AM 0
150
Fig 4.1. Graph of hot water consumption pattern for a typical day
Required Temperature of Hot Water = 49°C
8
CHAPTER 5
ESTIMATION OF REQUIRED ABSORBER AREA
Now we will see the following
Estimation of required absorber area for (FPC and ETC)
Energy balance equation:
m * Cp * (Th-Ta) = Efficiency * Average Radiation * Area of collector
Ab = m x Cp x dt
η x Rad
Symbol Meaning Values Unit
Ab Absorber Area ? m2
M Mass of Water 150 Kg
Cp Specific Heat Capacity 4186 J/Kg°C
Δt Temperature Difference 23 °C
η Efficiency 0.4[FPC(40%)]
0.6[ETC(40%)]
-
Rad Solar Energy 4.908634 kW-hr/m2
/day
So, let us assume Hot water temperature to be 49 degrees Celsius as it is the
ideal hot water temperature for the human body and normal tap water
temperature to be 26 degrees Celsius. As the temperature difference is 23
degrees Celsius which means the increase in the temperature generated by the
solar water heater should be 23 °C.
Hot water temperature = 49 °C
Normal tap water temperature = 26 °C
Change in temperature (Δt) = 23 °C
Solar Energy - Rad - kW-hr/m2
/day should be converted into the W-Sec/m2
So, kW-hr/m2
= 1000 x 3600 W-Sec/m2
After all the unit conversions and then putting the value in the above equation.
9
We get the following,
Absorber area for flat plate collector solar water heater and evacuated tube
collector solar water heater.
FPC Ab = 14441700 FPC 2.043126119 m2
7068432.96
ETC Ab = 14441700 ETC 1.362084079 m2
10602649.44
Absorber area for flat plate collector solar water heater = 2.043126119 m2
Absorber area for evacuated tube collector solar water heater = 1.362084079 m2
EXTRA
Optimum Tilt angle in Nagpur ( According to each month )
Table 5.1 Optimum Tilt angle in Nagpur
January February March April May June
37 ° 29 ° 21 ° 13 ° 5 ° 180 °
July August September October November December
5 ° 13 ° 21 ° 29 ° 37 ° 44 °
β = 21.1666 °
As the optimum tilt angle for the application of the solar water heater should be
taken in the winter months as this will ensure the proper utilization of the solar
water heater.
The value is being as follow
βwinter = 35.2 °
Assumed winter months consist of October, November, December, January &
February.
Both the above value of optimum tilt angle satisfies the thumb rule of
calculation of optimum tilt angle, as well.
10
Fig 5.1. 36 ° of flat plate solar collector
The above photo shows the existing flat plate solar water heater in my building.
The angle is equal to 36 °.
But the optimum tilt angle for my system is 35.2 degrees which are optimized in
such a way that it is more useful in the winter months.
11
CHAPTER 6
MARKET SURVEY & ESTIMATION OF NO. OF TUBES FOR ETC
Now we will see the following
 Market survey for available solutions
 Estimation of no. of tubes required for ETC collectors
First, we will see the estimation of the number of tubes required for ETC
collectors.
From we got the evacuated tube having the following product description
( https://www.tradeindia.com/products/1500mm-solar-vacuum-tube-
557997.html )
Fig 6.1. 1500 mm Solar vacuum tube with product description
PRODUCT DESCRIPTION
Length(nominal): 1500mm
Inner tube diameter: 47mm
12
Absorber area for evacuated tube collector solar water heater = 1.362084079 m2
Area of tubes = Length x Inner Tube Diameter = 0.0705 m2
No. of tubes =
Absorbe area for evacuated tube collector solar water heater
Area of tubes
No. of tubes = 19.32034155
No. of tubes required = 20
Now we will see a market survey for available solutions
FLAT PLATE COLLECTOR ( FPC )
Flat Plate Collector (FPC) Stainless Steel 150 Lpd FPC Solar Water Heater
( https://www.indiamart.com/proddetail/150-lpd-fpc-solar-water-heater-
21796743330.html )
( ₹ 15,000 )
Fig 6.2. Flat Plate Collector (FPC) Solar Water Heater
NO. OF TUBE 19.32034155
APPROXIMATE 20
13
Fig 6.3. Flat Plate Collector (FPC) Solar Water Heater Product Specification
EVACUATED TUBE COLLECTOR ( ETC )
SOLERO PRIME 150 L White ETC Solar Water Heater
( https://www.havells.com/en/consumer/water-heater/solar/solar-water-
heater/solero-prime-150-l-white.html )
( ₹ 30,095 )
Fig 6.4. Evacuated Tube Collector (ETC) Solar Water Heater
14
Fig 6.5. Evacuated Tube Collector (ETC) Solar Water Heater Product
Specification
We have seen a flat plate collector solar water heater as well as an evacuated
tube collector tube solar water heater.
The market survey was done in such a way that good quality was the priority.
15
CHAPTER 7
ECONOMICALANALYSIS & ESTIMATION OF PAYBACK PERIOD
Now we will see the following
For economical analysis and estimation of the payback period
 Step 1: Know the expense of the current system.
 Step 2: Know the initial investment in the solar water heater.
STEP 1: ENERGY USAGE
So, the current system for water heating application in my house is the electric
geyser.
Fig 7.1. 2000 W Electric geyser
16
For, accurate calculation of time required for heating the 150 Kg of water the
below link formulae was used.
( https://www.shaalaa.com/question-bank-solutions/calculate-time-required-
heat-20-kg-water-10-c-35-c-using-immersion-heater-rated-1000-w-anomalous-
expansion-of-water_68196 )
ie.
Power rating, P = 2000 W
Specific heat of water, S = 4186 J/Kg°C
Mass of water, M = 150 Kg
Change in temperature, Δt = 23 °C
Q is also equal to Time * Efficiency * Power rating ( P )
Assume, Efficiency = 95 % = 0.95
After substituting the values, we get time equal to
14441700
1900
After calculation
we get Time =
ENERGY USAGE = 2.111359649 * 2000
4222.719298 4.222 Units/Day
Fig 7.1. Electricity Bill’s Unit Cost
7600.894737 SEC
126.6815789 MIN
2.111359649 HRS
17
The expense of electric geyser in rupees
14.52368 /Day
RUPEES 435.7104 /Month
5228.5248 /Year
STEP 2: PAYBACK PERIOD
Now we will calculate the payback period
In this case
The payback period is equal to the initial investment divided by the
expenses of the previous system.
Table 7.1 Payback Period
Initial investment (ETC) 30095 Rupees
Payback Period (ETC) 5.755925648 Years
Initial investment (FPC) 15000 Rupees
Payback Period (FPC) 2.868878044 Years
This concludes the economical analysis and estimation of the payback
period.
18
CHAPTER 8
CONCLUSION
We will now conclude the report with the help of the following table.
Table 8.1 Conclusion Table
Type FPC ETC
Collector Area 2.04 m2
1.36 m2
No of Tubes - 20
Total System Cost ₹ 15000.00 ₹ 30095.00
Best Suitable Systems Available in
Market
150 LPD 150 LPD
Annual Electricity Savings (Yearly
in Rs)
₹ 5228.52 ₹ 5228.52
Payback Period (in Years) 2.87
2 Years 11 Months
5.76
5 Years 9 Months

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Design Calculations for Solar Water Heating System

  • 1. Report on Design Calculations for Solar Water Heating System for Domestic Application This report is submitted in fulfilment of the requirements of the Seventh semester B.E. in Mechanical Engineering. Submitted By Roll No. Name of Student 60 Sangeet Khule Under the guidance of Dr. Sandeep S. Joshi (Dept. of Mechanical Engg.) DEPARTMENT OF MECHANICAL ENGINEERING SHRI RAMDEOBABA COLLEGE OF ENGINEERING & MANAGEMENT, KATOL ROAD, NAGPUR, INDIA-440013 2020-2021
  • 2. CONTENTS Chapter Topic Page No. LINK OF EXCEL i Chapter 1 City of Residence 1 Chapter 2 Estimation of Available Solar Resources 2 Chapter 3 Site Survey 4 Chapter 4 Load Estimation 6 Chapter 5 Estimation of Required Absorber Area 8 Chapter 6 Market Survey & Estimation of No. of Tubes for ETC 11 Chapter 7 Economical Analysis & Estimation of Payback Period 15 Chapter 8 Conclusion 18
  • 4. 1 CHAPTER 1 CITY OF RESIDENCE Fig 1.1. Location Address: Hindustan Colony, Amravati Road, Nagpur, 440033 Latitude: 21 ° 08’ 47.4’’ N ( 21.14639° ) Longitude: 79 ° 02’ 46.0’’E ( 79.04611° ) (Location was found out using Google Maps)
  • 5. 2 CHAPTER 2 ESTIMATION OFAVAILABLE SOLAR RESOURCES Visited the following website for estimation of All-Sky Surface Shortwave Downward (https://power.larc.nasa.gov/data-access-viewer/) Fig 2.1. Step 1 Fig 2.2. Step 2
  • 6. 3 Fig 2.3. Step 3 After the completion of steps 1, 2, and 3 we got the excel. With help of it, the following average value of solar radiation and its graph throughout the year 2020 was generated. AVERAGE VALUE: 4.908634 kW-hr/m2 /day Fig 2.4. Graph of solar energy
  • 7. 4 CHAPTER 3 SITE SURVEY Now we will see the following Available shade-free area in m2 (With actual photographs, shading analysis, shade-free area) As there is very little shade-free area, we will assume that the following area is a shade-free area Total Area = 80.321 + 80.321 + 55.741 m2 Total Area = 216.383 m2 6.096 X 13.176 m 80.321 m2 (a) Terrace 1
  • 8. 5 6.096 X 13.176 m 80.321 m2 (b) Terrace 2 55.741 m2 (C) Garden Fig 3.1. Site survey at 4:00 pm
  • 9. 6 CHAPTER 4 LOAD ESTIMATION Now we will see the following ( All the calculations and graphs is done using excel )  Hot water requirement in Liters/day. (150 LPD)  Hot water consumption pattern for a typical day.  Required temperature. (49°C) Table 4.1 Hot water requirement in Liters/day MEMBERS REQUIREMENT TOTAL 1 20 1 20 2 40 1 40 3 30 1 30 4 30 2 60 150 LPD LPD = Litres Per Day Table 4.2 Hot water consumption pattern for a typical day TIME REQUIREMENT IN LITRES 6:00 AM 0 7:00 AM 0 8:00 AM 40 9:00 AM 30 10:00 AM 20 11:00 AM 0 12:00 PM 30 1:00 PM 0 2:00 PM 0
  • 10. 7 3:00 PM 0 4:00 PM 0 5:00 PM 0 6:00 PM 0 7:00 PM 30 8:00 PM 0 9:00 PM 0 10:00 PM 0 11:00 PM 0 12:00 AM 0 1:00 AM 0 2:00 AM 0 3:00 AM 0 4:00 AM 0 5:00 AM 0 6:00 AM 0 150 Fig 4.1. Graph of hot water consumption pattern for a typical day Required Temperature of Hot Water = 49°C
  • 11. 8 CHAPTER 5 ESTIMATION OF REQUIRED ABSORBER AREA Now we will see the following Estimation of required absorber area for (FPC and ETC) Energy balance equation: m * Cp * (Th-Ta) = Efficiency * Average Radiation * Area of collector Ab = m x Cp x dt η x Rad Symbol Meaning Values Unit Ab Absorber Area ? m2 M Mass of Water 150 Kg Cp Specific Heat Capacity 4186 J/Kg°C Δt Temperature Difference 23 °C η Efficiency 0.4[FPC(40%)] 0.6[ETC(40%)] - Rad Solar Energy 4.908634 kW-hr/m2 /day So, let us assume Hot water temperature to be 49 degrees Celsius as it is the ideal hot water temperature for the human body and normal tap water temperature to be 26 degrees Celsius. As the temperature difference is 23 degrees Celsius which means the increase in the temperature generated by the solar water heater should be 23 °C. Hot water temperature = 49 °C Normal tap water temperature = 26 °C Change in temperature (Δt) = 23 °C Solar Energy - Rad - kW-hr/m2 /day should be converted into the W-Sec/m2 So, kW-hr/m2 = 1000 x 3600 W-Sec/m2 After all the unit conversions and then putting the value in the above equation.
  • 12. 9 We get the following, Absorber area for flat plate collector solar water heater and evacuated tube collector solar water heater. FPC Ab = 14441700 FPC 2.043126119 m2 7068432.96 ETC Ab = 14441700 ETC 1.362084079 m2 10602649.44 Absorber area for flat plate collector solar water heater = 2.043126119 m2 Absorber area for evacuated tube collector solar water heater = 1.362084079 m2 EXTRA Optimum Tilt angle in Nagpur ( According to each month ) Table 5.1 Optimum Tilt angle in Nagpur January February March April May June 37 ° 29 ° 21 ° 13 ° 5 ° 180 ° July August September October November December 5 ° 13 ° 21 ° 29 ° 37 ° 44 ° β = 21.1666 ° As the optimum tilt angle for the application of the solar water heater should be taken in the winter months as this will ensure the proper utilization of the solar water heater. The value is being as follow βwinter = 35.2 ° Assumed winter months consist of October, November, December, January & February. Both the above value of optimum tilt angle satisfies the thumb rule of calculation of optimum tilt angle, as well.
  • 13. 10 Fig 5.1. 36 ° of flat plate solar collector The above photo shows the existing flat plate solar water heater in my building. The angle is equal to 36 °. But the optimum tilt angle for my system is 35.2 degrees which are optimized in such a way that it is more useful in the winter months.
  • 14. 11 CHAPTER 6 MARKET SURVEY & ESTIMATION OF NO. OF TUBES FOR ETC Now we will see the following  Market survey for available solutions  Estimation of no. of tubes required for ETC collectors First, we will see the estimation of the number of tubes required for ETC collectors. From we got the evacuated tube having the following product description ( https://www.tradeindia.com/products/1500mm-solar-vacuum-tube- 557997.html ) Fig 6.1. 1500 mm Solar vacuum tube with product description PRODUCT DESCRIPTION Length(nominal): 1500mm Inner tube diameter: 47mm
  • 15. 12 Absorber area for evacuated tube collector solar water heater = 1.362084079 m2 Area of tubes = Length x Inner Tube Diameter = 0.0705 m2 No. of tubes = Absorbe area for evacuated tube collector solar water heater Area of tubes No. of tubes = 19.32034155 No. of tubes required = 20 Now we will see a market survey for available solutions FLAT PLATE COLLECTOR ( FPC ) Flat Plate Collector (FPC) Stainless Steel 150 Lpd FPC Solar Water Heater ( https://www.indiamart.com/proddetail/150-lpd-fpc-solar-water-heater- 21796743330.html ) ( ₹ 15,000 ) Fig 6.2. Flat Plate Collector (FPC) Solar Water Heater NO. OF TUBE 19.32034155 APPROXIMATE 20
  • 16. 13 Fig 6.3. Flat Plate Collector (FPC) Solar Water Heater Product Specification EVACUATED TUBE COLLECTOR ( ETC ) SOLERO PRIME 150 L White ETC Solar Water Heater ( https://www.havells.com/en/consumer/water-heater/solar/solar-water- heater/solero-prime-150-l-white.html ) ( ₹ 30,095 ) Fig 6.4. Evacuated Tube Collector (ETC) Solar Water Heater
  • 17. 14 Fig 6.5. Evacuated Tube Collector (ETC) Solar Water Heater Product Specification We have seen a flat plate collector solar water heater as well as an evacuated tube collector tube solar water heater. The market survey was done in such a way that good quality was the priority.
  • 18. 15 CHAPTER 7 ECONOMICALANALYSIS & ESTIMATION OF PAYBACK PERIOD Now we will see the following For economical analysis and estimation of the payback period  Step 1: Know the expense of the current system.  Step 2: Know the initial investment in the solar water heater. STEP 1: ENERGY USAGE So, the current system for water heating application in my house is the electric geyser. Fig 7.1. 2000 W Electric geyser
  • 19. 16 For, accurate calculation of time required for heating the 150 Kg of water the below link formulae was used. ( https://www.shaalaa.com/question-bank-solutions/calculate-time-required- heat-20-kg-water-10-c-35-c-using-immersion-heater-rated-1000-w-anomalous- expansion-of-water_68196 ) ie. Power rating, P = 2000 W Specific heat of water, S = 4186 J/Kg°C Mass of water, M = 150 Kg Change in temperature, Δt = 23 °C Q is also equal to Time * Efficiency * Power rating ( P ) Assume, Efficiency = 95 % = 0.95 After substituting the values, we get time equal to 14441700 1900 After calculation we get Time = ENERGY USAGE = 2.111359649 * 2000 4222.719298 4.222 Units/Day Fig 7.1. Electricity Bill’s Unit Cost 7600.894737 SEC 126.6815789 MIN 2.111359649 HRS
  • 20. 17 The expense of electric geyser in rupees 14.52368 /Day RUPEES 435.7104 /Month 5228.5248 /Year STEP 2: PAYBACK PERIOD Now we will calculate the payback period In this case The payback period is equal to the initial investment divided by the expenses of the previous system. Table 7.1 Payback Period Initial investment (ETC) 30095 Rupees Payback Period (ETC) 5.755925648 Years Initial investment (FPC) 15000 Rupees Payback Period (FPC) 2.868878044 Years This concludes the economical analysis and estimation of the payback period.
  • 21. 18 CHAPTER 8 CONCLUSION We will now conclude the report with the help of the following table. Table 8.1 Conclusion Table Type FPC ETC Collector Area 2.04 m2 1.36 m2 No of Tubes - 20 Total System Cost ₹ 15000.00 ₹ 30095.00 Best Suitable Systems Available in Market 150 LPD 150 LPD Annual Electricity Savings (Yearly in Rs) ₹ 5228.52 ₹ 5228.52 Payback Period (in Years) 2.87 2 Years 11 Months 5.76 5 Years 9 Months