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LECTURE – 10.09.2014 
By 
P. Kanthasamy 
Principal Technical Officer 
Environmental Technology Division 
CSIR- Central Leather Research Institute 
Adyar, Chennai- 600 020 
Email:samyji@gmail.com Mobile:9445587722
ENERGY AUDIT OF FANS
TERMS USED IN FAN 
TERMS 
Cfm-Cubic Feet Per Minute. A measure of airflow. 
cf 
m 
Ps- Static Pressure. Resistance to airflow measured in inches of water gauge. 
Ps 
s 
one 
Sone-A measure of loudness. One sone can be approximated as the loudness of a quiet 
refrigerator at a distance of 5 feet. Sones follow a linear scale, that is, 10 sones are twice as 
loud as 5 sones. 
BHP-Brake Horsepower. A measure of power consumption. Used to determine the proper 
motor horsepower and wiring. 
Bhp 
Horsepower. Used to indicate a fan’s motor size. 
hp 
RPM- Revolutions Per Minute. Measure of fan speed. 
r 
p 
m 
T 
STS- Tip Speed. The speed of the tip of a fan wheel or prop measured in feet per minute. 
AMCA- Air Movement & Control Association. A nationally recognized association which 
establishes standards for fan testing and performance ratings. AMCA also license air volume 
and sound certified ratings. 
A 
MCA
BACKGROUND 
Thermal power plant has several fans such as Induced draft 
(ID) fans, Forced draft (FD) Fans, Primary air fans (PA 
fans). These fans contribute to significant auxiliary power 
consumption. ID fans alone contribute to about 12% of total 
auxiliary power consumption 
ID Fan System 
Steps Involved 
Data collection 
Observations and 
Analysis 
Exploration for energy 
conservation measures 
Report preparation
DATA COLLECTION 
Collect detailed design specification & operating parameters 
Fans Parameters ( FD, ID and PA Fan )
DATA COLLECTION 
Collect detailed design specification & operating parameters 
Fans Parameters ( FD, ID and PA Fan )- contd…
DATA COLLECTION 
Details of the fans and ducting system: 
 Collect the schematic diagram / network of the 
ducting system 
 Collect Performance characteristics of all fans 
 Compile design, Performance Guarantee Test, 
previous best and last energy audit values with 
respect to fans and draft system which include 
excess air 
 If the fans are operated in parallel then it is 
advised to collect the performance curve for the 
parallel operation 
 Air quality and pressure equipments at the users 
as per the design requirements
INSTRUMENTS REQUIRED 
Power Analyzer: Used for measuring electrical parameters such 
as kW, kVA, pf, V, A and Hz 
Temperature Indicator & Probe 
Stroboscope: To measure the speed of the driven equipment and 
motor 
Sling hygrometer or digital hygrometer 
Anemometer 
On line instruments – (calibrated) 
Digital Manometer of suitable range and appropriate probes for 
measurement of pressure head and velocity head. 
Pitot tubes 
Additional pressure gauges with appropriate range of 
measurement and calibrated before audit.
MEASUREMENTS & OBSERVATIONS TO BE MADE 
Energy consumption pattern of fans 
Motor electrical parameters (kW, kVA, Pf, A, V, Hz, Total 
Harmonic Distortion(THD) of fans 
Fan operating parameters to be measured/monitored for 
each Fans are: 
1. Discharge / flow rates 
2. Pressure (suction & discharge) 
-Static pressure 
-Dynamic pressure 
-Total pressure
MEASUREMENTS & OBSERVATIONS TO BE MADE 
3. Damper position / guide vane position/ VSD Setting 
4. Temperature of fluid handled 
5. Load variation 
6. Power parameters of fans 
7. Fan operating hours and operating schedule 
8. Pressure drop in the system (between discharge 
and user point) 
9. Pressure drop and temperatures drop across the 
equipment 
10. Fan /Motor speed
MEASUREMENTS & OBSERVATIONS TO BE MADE 
 Oxygen content, flow, temperature and pressure 
measurement across in exhaust gas path 
- Before and after air pre heater 
- Before and after economizer 
-Before and after ID fan 
- Before and after ESP 
- In case where flow measurement (for air pre heater 
and ESP) is not possible, it can be estimated based on mass 
balance principles, stoichiometric analysis,
ENERGY CONSUMPTION PATTERN 
 If the plant is monitoring the energy consumption, it is suggested 
to record the data and monitor the daily and monthly consumption 
pattern. (Collect data for 12 months) 
 Work out the total consumption of fans to arrive at percentage to 
the total consumption of the auxiliary consumption 
 If the energy meters are not installed to fans, instantaneous 
measurements can be carried out, based on the loading pattern the 
daily consumption can be worked out as per following table- 
Energy consumption pattern
FAN OPERATING EFFICIENCY 
EVALUATION 
The parameters to be studied in detailed are: 
 Air /gas rates of fans / main ducts 
 Static pressure and dynamic pressure and total 
pressure 
 Power consumption of fan (for estimating the 
operating efficiency of the fans) 
 Monitor present flow control system and 
frequency of control valve operation if any (for 
application of variable speed drives) 
 Fill up the following data sheet for every fan
FAN OPERATING EFFICIENCY 
EVALUATION 
Performance parameters for fans
FAN OPERATING EFFICIENCY 
EVALUATION
FAN LAWS 
Flow ? Speed Pressure ? (Speed)2 Power ? (Speed)3 
x x x 
Q N 
Q N 
1 = 
1 
2 2 
2 
SP N 
SP N 
= æ ö çè ÷ø 
1 1 
2 2 
3 
kW N 
kW N 
= æ ö çè ÷ø 
1 1 
2 2 
Varying the RPM by 10% 
decreases or increases air 
delivery by 10%. 
Varying the RPM by 10% 
decreases or increases the 
static pressure by 19%. 
Varying the RPM by 10% 
decreases or increases the 
power requirement by 
27%. 
Where Q – flow, SP – Static Pressure, kW – Power and N – speed (RPM)
FANS PERFORMANCE ASSESSMENT 
Static pressure 
• Potential energy put into the system by the fan 
Velocity pressure 
• Pressure arising from air flowing through the duct. This is 
used to calculate velocity 
Total pressure 
• Static pressure + velocity pressure 
• Total pressure remains constant unlike static and velocity 
pressure
TRAVERSE POINTS FOR VELOCITY 
MEASUREMENT
FAN OPERATING EFFICIENCY 
EVALUATION 
Fan static kW = Q in m3/ s x static pr. developed by fan in mmwc 
102 
Fan static efficiency % Fan static kW x 100 
Input kW to motor x hm 
Fan total kW = Q in m3/ s x total pr. developed by fan in mmwc 
102 
= 
Fan mechanical Efficiency = Fan total kW x 100 
Input kW to motor x hm 
Parameter Details Unit 
Q Air flow rate m3/ s 
Static pressure Difference between discharge & suction pressure mmwc 
Fan static/ total kW Static / total power consumption of the fan kW 
Input kW to motor Measured power consumption of the motor kW 
hm Efficiency of the motor at operating load 
Total pressure Difference between discharge & suction pressure mmwc
FAN OPERATING EFFICIENCY 
EVALUATION 
Corrected air density, g = 
273 X 1.293 
273 + Air temperature in 0 C 
Velocity in m / s = 
Cp x Ö2 x 9.81 x Diff. velocity pr. in mmwc x g 
g 
Parameter Details Unit 
Cp Pitot tube constant 0.85 or as given 
by manufacturer 
g Density of air or gas at test condition Kg / m3 
Volumetric flow (Q), m3/s = Velocity, m/s x Area, m2
FAN OPERATING EFFICIENCY 
EVALUATION 
In case of gas flow measurement of ID fans, where it is not 
possible to measure the gas flow, then the mass flow method 
can be adopted, provided the oxygen content and actual coal 
flow measurements are available. For flow estimation through 
this method, the following are required: 
 Stoichiometric air requirement (work out based on the coal 
composition) 
 Oxygen content at ID fan inlet (measured) 
 Excess air (estimate) 
% Excess air = (%O2 in flue gas x 100) / (21 – O2 in flue gas) 
 Coal flow (based on actual measurement or on average 
basis) 
 Fly ash content (assumed based on past data)
FAN PERFORMANCE ANALYSIS 
While in case air flow measurement for FD and PA fans the 
following instruments (which ever are suitable) can be used 
 Thermal anemometer 
 Vane type anemometer 
 Pitot tube along with micro manometer can be used 
 Online measuring instrument 
If the fans are operating in parallel, it is advised to measure 
all above parameter for every fan separately to evaluate the 
individual performance. However combined parameters of 
flow and head need to be verified with Performance curve for 
parallel operation
FAN PERFORMANCE ANALYSIS 
Compare the actual values with the design / performance test 
values if any deviation is found, list the factors with the details 
and suggestions to over come. 
 The investigations for abnormality are to be carried out for 
problems. 
 Enlist scope of improvement with extensive physical checks / 
observations. 
 Based on the actual operating parameters, enlist 
recommendations for action to be taken for improvement, if 
applicable such as- Replacement of fans, Impeller replacement, 
VFD application. 
Cost analysis with savings potential for taking improvement 
measures.
Recirculation 
Damper 
IGV 
VFD 
Ideal 
FAN PERFORMANCE ANALYSIS 
Power 
25 50 75 100 
Flow 
100 
75 
50 
25 
FFllooww ccoonnttrrooll
FAN PERFORMANCE 
ANALYSIS 
System characteristics and Fan curves 
Impact of speed reduction
FAN PERFORMANCE ANALYSIS 
Visual survey of insulation & the ducting system: 
 Insulation status (measure the surface temperature with the 
aid of surface thermocouple / infrared pyrometer or by using 
thermal imaging cameras) 
 Bends and ducting status 
 Physical condition of insulation 
 Identification of locations where action is required to improve 
the insulation (provide with detailed techno-economics) 
 Improvement options for ducting systems if any 
 Sources of air ingress
FAN PERFORMANCE ANALYSIS 
Study of air ingress in to the system: 
 Before and after air preheater 
 Before and after ESP 
 Before and after ID fan 
The difference in the oxygen gives the extent of air ingress in to the 
system. Measurements of oxygen content across all units in flue gas 
path, indicates the locations where ingress is occurring
EXPLORATION OF ENERGY 
CONSERVATION POSSIBILITIES 
Improvement of systems and drives: 
 Use of energy efficient fans 
 Change of impeller with energy efficient impeller 
 Correcting inaccuracies of the fan sizing 
 Use of high efficiency motors 
 Fan speed reduction by pulley diameter modifications for optimisation 
 Option of two speed motors or variable speed drives for variable duty 
conditions 
 High Performance Lubricants: The low temperature fluidity and high 
temperature stability of high performance lubricants can increase energy 
efficiency by reducing frictional losses 
 Use of energy efficient transmission systems (Use of latest energy 
efficient transmission belts)
EXPLORATION OF ENERGY 
CONSERVATION POSSIBILITIES 
Improvement in operations: 
 Minimising excess air level in combustion systems to reduce FD fan 
and ID fan load. 
 Minimising air in-leaks in hot flue gas path to reduce ID fan load and 
cold air in-leaks 
 Minimising system resistance and pressure drops by 
 improvements in duct system / Insulation aspects 
Deviations in air flow rates 
Measures to up keep the performance 
After the identification of energy conservation measures, 
detailed techno-economic evaluation has to be carried out
PROBLEM 
• A particular coal has the following ultimate analysis on a dry 
basis percent by mass: 
Component Percent by Mass 
• Sulfur 0.6 
• Hydrogen 5.7 
• Carbon 79.2 
• Oxygen 10.0 
• Nitrogen 1.5 
• Ash 3.0 
This coal is to be burned with 30% Excess Air. Calculate the Air-fuel 
ratio on a mass basis.
SOLUTION 
• One approach to this problem is to write the combustion equations 
for each of the combustible elements per 100 kg of fuel. The molar 
compostion per 100 kg of fuel is found first 
• Kmol S/ 100kg fuel = 0.6/32 = 0.02 
• Kmol H2/ 100kg fuel = 5.7/2 = 2.85 
• Kmol C/ 100kg fuel = 79.2/12 = 6.60 
• Kmol O2/ 100kg fuel = 10.0/32 = 0.3 
• Kmol N2/ 100kg fuel = 1.5/28 = 0.05 
The combustion equations for the combustible elements are now 
written which enables us to find the theoretical oxygen required. 
S+ O2 SO2 
0.02S + 0.02 O2 0.02 SO2 
H2 + 1/2O2 H2O 
2.85H+2.85/2 O2 2.85 H2O 
C+O2 CO2 
6.60C+ 6.60O2 6.60CO2 
Total Oxygen required For S = 0.02 
H2 = 1.42 
Total Oxygen Required 
=0.02+1.42+6.60=8.04 
8.04 kmol O2 required /100kg of fuel 
0.31 kmol O2 is available in fuel /100 
kg 
8.04-.31= 7.73 kmol
SOLUTION 
• Air-Fuel Theo = [7.73 +7.73 (3.76)] x 28.97/100 
= [36.7948x 28.97]/ 100 
= 10.659 kg air/kg fuel 
For 30% excess air the air fuel ratio is 
AF = 1.3 x 10.659= 13.856 kg air/kg of fuel

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Energy Audit of Fans Lecture

  • 1. LECTURE – 10.09.2014 By P. Kanthasamy Principal Technical Officer Environmental Technology Division CSIR- Central Leather Research Institute Adyar, Chennai- 600 020 Email:samyji@gmail.com Mobile:9445587722
  • 3. TERMS USED IN FAN TERMS Cfm-Cubic Feet Per Minute. A measure of airflow. cf m Ps- Static Pressure. Resistance to airflow measured in inches of water gauge. Ps s one Sone-A measure of loudness. One sone can be approximated as the loudness of a quiet refrigerator at a distance of 5 feet. Sones follow a linear scale, that is, 10 sones are twice as loud as 5 sones. BHP-Brake Horsepower. A measure of power consumption. Used to determine the proper motor horsepower and wiring. Bhp Horsepower. Used to indicate a fan’s motor size. hp RPM- Revolutions Per Minute. Measure of fan speed. r p m T STS- Tip Speed. The speed of the tip of a fan wheel or prop measured in feet per minute. AMCA- Air Movement & Control Association. A nationally recognized association which establishes standards for fan testing and performance ratings. AMCA also license air volume and sound certified ratings. A MCA
  • 4. BACKGROUND Thermal power plant has several fans such as Induced draft (ID) fans, Forced draft (FD) Fans, Primary air fans (PA fans). These fans contribute to significant auxiliary power consumption. ID fans alone contribute to about 12% of total auxiliary power consumption ID Fan System Steps Involved Data collection Observations and Analysis Exploration for energy conservation measures Report preparation
  • 5. DATA COLLECTION Collect detailed design specification & operating parameters Fans Parameters ( FD, ID and PA Fan )
  • 6. DATA COLLECTION Collect detailed design specification & operating parameters Fans Parameters ( FD, ID and PA Fan )- contd…
  • 7. DATA COLLECTION Details of the fans and ducting system:  Collect the schematic diagram / network of the ducting system  Collect Performance characteristics of all fans  Compile design, Performance Guarantee Test, previous best and last energy audit values with respect to fans and draft system which include excess air  If the fans are operated in parallel then it is advised to collect the performance curve for the parallel operation  Air quality and pressure equipments at the users as per the design requirements
  • 8. INSTRUMENTS REQUIRED Power Analyzer: Used for measuring electrical parameters such as kW, kVA, pf, V, A and Hz Temperature Indicator & Probe Stroboscope: To measure the speed of the driven equipment and motor Sling hygrometer or digital hygrometer Anemometer On line instruments – (calibrated) Digital Manometer of suitable range and appropriate probes for measurement of pressure head and velocity head. Pitot tubes Additional pressure gauges with appropriate range of measurement and calibrated before audit.
  • 9. MEASUREMENTS & OBSERVATIONS TO BE MADE Energy consumption pattern of fans Motor electrical parameters (kW, kVA, Pf, A, V, Hz, Total Harmonic Distortion(THD) of fans Fan operating parameters to be measured/monitored for each Fans are: 1. Discharge / flow rates 2. Pressure (suction & discharge) -Static pressure -Dynamic pressure -Total pressure
  • 10. MEASUREMENTS & OBSERVATIONS TO BE MADE 3. Damper position / guide vane position/ VSD Setting 4. Temperature of fluid handled 5. Load variation 6. Power parameters of fans 7. Fan operating hours and operating schedule 8. Pressure drop in the system (between discharge and user point) 9. Pressure drop and temperatures drop across the equipment 10. Fan /Motor speed
  • 11. MEASUREMENTS & OBSERVATIONS TO BE MADE  Oxygen content, flow, temperature and pressure measurement across in exhaust gas path - Before and after air pre heater - Before and after economizer -Before and after ID fan - Before and after ESP - In case where flow measurement (for air pre heater and ESP) is not possible, it can be estimated based on mass balance principles, stoichiometric analysis,
  • 12. ENERGY CONSUMPTION PATTERN  If the plant is monitoring the energy consumption, it is suggested to record the data and monitor the daily and monthly consumption pattern. (Collect data for 12 months)  Work out the total consumption of fans to arrive at percentage to the total consumption of the auxiliary consumption  If the energy meters are not installed to fans, instantaneous measurements can be carried out, based on the loading pattern the daily consumption can be worked out as per following table- Energy consumption pattern
  • 13. FAN OPERATING EFFICIENCY EVALUATION The parameters to be studied in detailed are:  Air /gas rates of fans / main ducts  Static pressure and dynamic pressure and total pressure  Power consumption of fan (for estimating the operating efficiency of the fans)  Monitor present flow control system and frequency of control valve operation if any (for application of variable speed drives)  Fill up the following data sheet for every fan
  • 14. FAN OPERATING EFFICIENCY EVALUATION Performance parameters for fans
  • 16. FAN LAWS Flow ? Speed Pressure ? (Speed)2 Power ? (Speed)3 x x x Q N Q N 1 = 1 2 2 2 SP N SP N = æ ö çè ÷ø 1 1 2 2 3 kW N kW N = æ ö çè ÷ø 1 1 2 2 Varying the RPM by 10% decreases or increases air delivery by 10%. Varying the RPM by 10% decreases or increases the static pressure by 19%. Varying the RPM by 10% decreases or increases the power requirement by 27%. Where Q – flow, SP – Static Pressure, kW – Power and N – speed (RPM)
  • 17. FANS PERFORMANCE ASSESSMENT Static pressure • Potential energy put into the system by the fan Velocity pressure • Pressure arising from air flowing through the duct. This is used to calculate velocity Total pressure • Static pressure + velocity pressure • Total pressure remains constant unlike static and velocity pressure
  • 18.
  • 19.
  • 20. TRAVERSE POINTS FOR VELOCITY MEASUREMENT
  • 21. FAN OPERATING EFFICIENCY EVALUATION Fan static kW = Q in m3/ s x static pr. developed by fan in mmwc 102 Fan static efficiency % Fan static kW x 100 Input kW to motor x hm Fan total kW = Q in m3/ s x total pr. developed by fan in mmwc 102 = Fan mechanical Efficiency = Fan total kW x 100 Input kW to motor x hm Parameter Details Unit Q Air flow rate m3/ s Static pressure Difference between discharge & suction pressure mmwc Fan static/ total kW Static / total power consumption of the fan kW Input kW to motor Measured power consumption of the motor kW hm Efficiency of the motor at operating load Total pressure Difference between discharge & suction pressure mmwc
  • 22. FAN OPERATING EFFICIENCY EVALUATION Corrected air density, g = 273 X 1.293 273 + Air temperature in 0 C Velocity in m / s = Cp x Ö2 x 9.81 x Diff. velocity pr. in mmwc x g g Parameter Details Unit Cp Pitot tube constant 0.85 or as given by manufacturer g Density of air or gas at test condition Kg / m3 Volumetric flow (Q), m3/s = Velocity, m/s x Area, m2
  • 23. FAN OPERATING EFFICIENCY EVALUATION In case of gas flow measurement of ID fans, where it is not possible to measure the gas flow, then the mass flow method can be adopted, provided the oxygen content and actual coal flow measurements are available. For flow estimation through this method, the following are required:  Stoichiometric air requirement (work out based on the coal composition)  Oxygen content at ID fan inlet (measured)  Excess air (estimate) % Excess air = (%O2 in flue gas x 100) / (21 – O2 in flue gas)  Coal flow (based on actual measurement or on average basis)  Fly ash content (assumed based on past data)
  • 24. FAN PERFORMANCE ANALYSIS While in case air flow measurement for FD and PA fans the following instruments (which ever are suitable) can be used  Thermal anemometer  Vane type anemometer  Pitot tube along with micro manometer can be used  Online measuring instrument If the fans are operating in parallel, it is advised to measure all above parameter for every fan separately to evaluate the individual performance. However combined parameters of flow and head need to be verified with Performance curve for parallel operation
  • 25. FAN PERFORMANCE ANALYSIS Compare the actual values with the design / performance test values if any deviation is found, list the factors with the details and suggestions to over come.  The investigations for abnormality are to be carried out for problems.  Enlist scope of improvement with extensive physical checks / observations.  Based on the actual operating parameters, enlist recommendations for action to be taken for improvement, if applicable such as- Replacement of fans, Impeller replacement, VFD application. Cost analysis with savings potential for taking improvement measures.
  • 26. Recirculation Damper IGV VFD Ideal FAN PERFORMANCE ANALYSIS Power 25 50 75 100 Flow 100 75 50 25 FFllooww ccoonnttrrooll
  • 27. FAN PERFORMANCE ANALYSIS System characteristics and Fan curves Impact of speed reduction
  • 28. FAN PERFORMANCE ANALYSIS Visual survey of insulation & the ducting system:  Insulation status (measure the surface temperature with the aid of surface thermocouple / infrared pyrometer or by using thermal imaging cameras)  Bends and ducting status  Physical condition of insulation  Identification of locations where action is required to improve the insulation (provide with detailed techno-economics)  Improvement options for ducting systems if any  Sources of air ingress
  • 29. FAN PERFORMANCE ANALYSIS Study of air ingress in to the system:  Before and after air preheater  Before and after ESP  Before and after ID fan The difference in the oxygen gives the extent of air ingress in to the system. Measurements of oxygen content across all units in flue gas path, indicates the locations where ingress is occurring
  • 30. EXPLORATION OF ENERGY CONSERVATION POSSIBILITIES Improvement of systems and drives:  Use of energy efficient fans  Change of impeller with energy efficient impeller  Correcting inaccuracies of the fan sizing  Use of high efficiency motors  Fan speed reduction by pulley diameter modifications for optimisation  Option of two speed motors or variable speed drives for variable duty conditions  High Performance Lubricants: The low temperature fluidity and high temperature stability of high performance lubricants can increase energy efficiency by reducing frictional losses  Use of energy efficient transmission systems (Use of latest energy efficient transmission belts)
  • 31. EXPLORATION OF ENERGY CONSERVATION POSSIBILITIES Improvement in operations:  Minimising excess air level in combustion systems to reduce FD fan and ID fan load.  Minimising air in-leaks in hot flue gas path to reduce ID fan load and cold air in-leaks  Minimising system resistance and pressure drops by  improvements in duct system / Insulation aspects Deviations in air flow rates Measures to up keep the performance After the identification of energy conservation measures, detailed techno-economic evaluation has to be carried out
  • 32.
  • 33. PROBLEM • A particular coal has the following ultimate analysis on a dry basis percent by mass: Component Percent by Mass • Sulfur 0.6 • Hydrogen 5.7 • Carbon 79.2 • Oxygen 10.0 • Nitrogen 1.5 • Ash 3.0 This coal is to be burned with 30% Excess Air. Calculate the Air-fuel ratio on a mass basis.
  • 34. SOLUTION • One approach to this problem is to write the combustion equations for each of the combustible elements per 100 kg of fuel. The molar compostion per 100 kg of fuel is found first • Kmol S/ 100kg fuel = 0.6/32 = 0.02 • Kmol H2/ 100kg fuel = 5.7/2 = 2.85 • Kmol C/ 100kg fuel = 79.2/12 = 6.60 • Kmol O2/ 100kg fuel = 10.0/32 = 0.3 • Kmol N2/ 100kg fuel = 1.5/28 = 0.05 The combustion equations for the combustible elements are now written which enables us to find the theoretical oxygen required. S+ O2 SO2 0.02S + 0.02 O2 0.02 SO2 H2 + 1/2O2 H2O 2.85H+2.85/2 O2 2.85 H2O C+O2 CO2 6.60C+ 6.60O2 6.60CO2 Total Oxygen required For S = 0.02 H2 = 1.42 Total Oxygen Required =0.02+1.42+6.60=8.04 8.04 kmol O2 required /100kg of fuel 0.31 kmol O2 is available in fuel /100 kg 8.04-.31= 7.73 kmol
  • 35. SOLUTION • Air-Fuel Theo = [7.73 +7.73 (3.76)] x 28.97/100 = [36.7948x 28.97]/ 100 = 10.659 kg air/kg fuel For 30% excess air the air fuel ratio is AF = 1.3 x 10.659= 13.856 kg air/kg of fuel