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International Journal of Innovative Research in Advanced Engineering (IJIRAE) ISSN: 2349-2163
Volume 1 Issue 6 (July 2014) http://ijirae.com
________________________________________________________________________________________________________
© 2014, IJIRAE- All Rights Reserved Page - 307
Simulation of Expansion & Exhaust Process with Delayed Entry
Technique Using Discrete Approach for Hydrogen Fuelled
Engine
Dr. Vikas J. Patel Dr.S.A.Channiwala
CKPCET,Surat SVNIT, Surat
ABSTRACT -- The rapidly increasing worldwide demand for energy and the progressive depletion of fossil fuels has led to an
intensive research for alternative fuels which can be produced on a renewable basis. Hydrogen in the form of energy will
almost certainly be one of the most important energy components of the early next century. Hydrogen is a clean burning and
easily transportable fuel. Most of the pollution problems posed by fossil fuels at present would practically disappear with
Hydrogen since steam is the main product of its combustion. This Paper deals with the modeling of Suction and Compression
Processes for Hydrogen Fuelled S.I.Engine and also describes the safe and backfire free Delayed entry Technique. A four
stroke, Multicylinder, Naturally aspirated, Spark ignition engine, water cooled engine has been used to carrying out of
investigations of Suction Process. The Hydrogen is entered in the cylinder with the help of Delayed Entry Valve. This work
discusses the insight of suction process because during this process only air and Hydrogen enters in to cylinder, which after
combustion provides power. Simulation is the process of designing a model of a real system and conduction experiment with it,
for the purpose of understanding the behavior of the design. The advent of computers and the possibilities of performing
numerical experiments may provide new way of designing S.I.Engine. In fact stronger interaction between Engine Modelers,
Designers and Experimenters may results in improved engine design in the not-to-distant future. A computer Programme is
developed for analysis of suction and Compression processes. The parameter considered in computation includes engine speed,
compression ratio, ignition timing, fuel-air ratio and heat transfer. The results of computational exercise are discussed in the
paper.
KEYWORDS: Computer simulation, Mathematical model, Suction Process, Delayed Entry Technique, Hydrogen Fuel
INTRODUCTION
Internal Combustion Engines are those engines in which combustion of fuels takes place inside the engine and hence the chemical
energy is converted in to thermal energy, which is further converted into mechanical work. The present acute shortage of
conventional fuels has necessitated the need for alternate fuel research. Hydrogen, which can be produced from natural gas or
water, is proved to be a practical and potential alternate fuel for the I.C. Engine. The replacement of hydrocarbons by Hydrogen in
automotive vehicles is expected to results in a considerable reduction in environmental pollution, since the harmful emission of
unburned hydrocarbons and oxides of nitrogen are either avoided or minimized. With Hydrogen as a fuel, the engine exhaust is
free from carbon monoxide and hydrocarbon emission, except very small quantities, which may be due to the combustion of
lubricating oil. Further it does not contain sulfur, lead compounds or smoke and is virtually odorless. When Hydrogen-air
combustion takes place in an I.C. engine cylinder, the only product of combustion are water vapour and oxides of nitrogen and the
engine will be pollution free. It has been proved that the higher thermal efficiency of Hydrogen engine can offset the higher
production cost. With only minor modifications, the conventional diesel cycle engine can be operated efficiently using Hydrogen
as fuel with atmospheric air supplying the necessary oxygen.
PROPERTIES OF HYDROGEN
Table 1. Shows that main combustion properties of Hydrogen provide its use as an IC engine fuel. A low fuel conversion rate is
problem with gaseous-fueled engines run with high amounts of excess air. The low quenching distance of Hydrogen offers
improvement in this matter. Hydrogen flames can easily penetrate into difficult chamber zones and reach the unburnt mixtures
than that of fossil fuels. Optimized Hydrogen engines can be run at higher compression ratio than that with unleaded gasoline. It
makes Hydrogen powered engines 15-25 % more efficient than gasoline engines.
Table 1: Properties of Hydrogen
Description Hydrogen
Laminar flame speed 1.96 m/sec
Theoretical flame Temperature 2140 o
C
Minimum ignition energy 0.02 MJ
International Journal of Innovative Research in Advanced Engineering (IJIRAE) ISSN: 2349-2163
Volume 1 Issue 6 (July 2014) http://ijirae.com
________________________________________________________________________________________________________
© 2014, IJIRAE- All Rights Reserved Page - 308
Quenching distance 0.6 mm
Normalized flame emmisivity 1
Normal Boiling Point 20.27 K
Auto ignition temperature 858 K
Burning velocity 265 to 325 cm/sec
LITERATURE SHOWCASE
Beauties of Hydrogen were recognized as early as in 1820. In 1820, W.Cecil [1] read a paper before Cambridge philosophical
society on “The Application of Hydrogen gas to produce a motive power in Machinery”. Then after an elapse of century,. Ricardo
[1] published in the “Report of the Empire Motor Fuel Committee” a very instructive paper on experiments carried out with
Hydrogen and air used as a promoter with Petrol and Kerosene. He noticed that with a rich mixture pained by backfire, Ennen [2]
in Germany, in 1933 dealt successfully with the backfire problem by injecting Hydrogen directly in to the cylinder, but the
knocking persisted. King[3] made valuable contribution on the subject of pre-ignition and combustion knock in Hydrogen engine.
He found that any particulate matter provides hot spot for pre-ignition and the combustion knock is an inherent property of near
stoichiometric Hydrogen-air mixture due to the extremely high flame velocity.
The major conclusions derived from the available literature are as follows:
Any existing engine can be converted to Hydrogen fuelled engine with minor modifications.
The part load & thermal efficiencies of H2 fuelled engine are higher than gasoline air engine.
Hydrogen induction technique is easier to adopt as compared to Hydrogen injection technique.
Emission levels of H2 - air engine are far less than that of gasoline – air engine if equivalence ratio is not exceeded 0.6 in H2 - air
engine (i.e. Lean operation)
Equivalence ratio more than 0.6 results in back fire problems. If H2 – air engine has to be operated in the range of 0.6 to 1.0-
equivalence ratio, we have to go for EGR or water induction or delay entry technique to achieve backfire free operation and lower
NOx emission.
The reported optimum spark advance for H2 – air engine lies in between 7o
to 12o
BDC.
The optimum compression ratio lies in between 8 to 12 for H2 – air engine.
AIM OF THE PRESENT WORK
The aim of the present work is to model suction and Compression Processes in Hydrogen fueled Engine and by that improve fuel
economy and govern power capacity of the engine. And also to describe the safe and backfire free H2 fuelled engine using
Delayed Entry Technique.
EXPANSION PROCESS
During this stroke both the inlet valve and exhaust valves are in the closed position. The mixture, which fills the entire cylinder
volume, is now compressed into the clearance volume at the end of the compression stroke.
The analysis of the process is carried out by finding the values of pressure and temperature for every 1 of crank rotation. Initially,
it is assumed that the compression process is isentropic i.e.  = 1.40. Hence, for this value of , the corresponding temperature
will be,
1 1
(4.19)ddT V T V  
 
   
 
  
Where, V and V+d are obtained from equation 4.3, and T+d is evaluated. This temperature is further corrected by considering
wall heat transfer and fluid friction through equation 4.10 to 4.16 and the T+d is evaluated as:
3
exp
(4.20)
10new hd d
new v
Q
T T
m C
    
 
  
   
Using the values of T and T+d new,h the average value of temperature Tmean can be calculated. Further using the value of Tmean
the value of Cvmea and revised value of may be evaluated as per the procedure outlined. 3. This new value of  is again used in eq.
to calculate T+d and this is continued until the final and the pre assumed values do not vary significantly. Now using the final
value of T+d the value of P+d can be calculated through eq. (4.1).
EXHAUST PROCESS
During this stroke, burned gases expand into the cylinder. en when the inlet valve remains opened. The variation of pressure and
temperature in this suction process is obtained by considering heat transfer and friction at each crank degree rotation in discrete
International Journal of Innovative Research in Advanced Engineering (IJIRAE) ISSN: 2349-2163
Volume 1 Issue 6 (July 2014) http://ijirae.com
________________________________________________________________________________________________________
© 2014, IJIRAE- All Rights Reserved Page - 309
manner. The heat transfer coefficient and frictional losses are evaluated based on average gas velocity inside the cylinder which is
obtained using momentum balance and not through available procedures. The modeling of the process starts by assuming that for
the small rotation (d) of the crank, the temperature inside the cylinder does not vary, which is corrected later on by iteration.
Considering the equation of state [62, 63],
[For IdealGas] (4.1)d d
d
P V P V
T T
     
  
 

 

Where, volume at any crank angle is given by [64]:
2 2 1
[( 1) ( sin ) cos ] (4.2)V Fc r n n n
n
        
From the above relation, the values of V and V+d can be calculated. Hence, P+d can be calculated.
Therefore, (4.3)p atm dd P P  
Hence, from Bernoulli’s equation [64], the velocity at which the charge is coming inside the cylinder can be calculated [64] as:
arg
(2 ) (4.4)
p
d
ch e
d
U C
D
  
Where, Dcharge is the density of the charge that can be calculated by relation.
arg
arg
(4.5)
( )
atm
ch e
ch e atm
P
D
R T


Therefore, the mass ‘dm’ that is coming inside can be calculated by:
arg (4.6)m ch e planer d td D U A C d    
Aplaner is calculated as per the lift ‘h’ of the inlet valve, which is given by Blair [64].
The mass of exhaust that is present at 0
of the crank can be calculated by
exp 0 exp exp( ) (4.7)m P V R T   
Hence the total mass at ( + d)o
can be obtained by
(4.8)d mm m d    
Applying the Energy balance between the mass that was present at  o,
the mass ‘dm’ that is coming from outside into the cylinder
and the new mass at ( + d) o
.
   
 
arg
(4.9)
ch e
d
p m p atm
d
d p
m C T d C T
T
m C

 
 
 
  


     
 
  
The surface area at which heat transfer takes place can be obtained by [64]
2
(4.10)
2 2
surface rad
B strokeLength
A
 

   
    
  
The temperature of the cylinder walls is varying along the length. Assuming this variation to be linear based on experimental
measurements [64],the instantaneous wall temperature at any crank angle  is evaluated as [6]:
 0.388 423 (4.11)wallT K  
Initially we store the approximation of pressure obtained from equation 4.1 to a new variable ‘P’ for taking heat transfer losses
into account. Taking Momentum balance,
   
 
(4.12)
piston m
mean
d
m V d U
V
m

 
    
International Journal of Innovative Research in Advanced Engineering (IJIRAE) ISSN: 2349-2163
Volume 1 Issue 6 (July 2014) http://ijirae.com
________________________________________________________________________________________________________
© 2014, IJIRAE- All Rights Reserved Page - 310
Using this mean velocity, we calculate the heat transfer coefficient using the relation [63]
0.12 0.5 0.5 0.8 3
0.13 10 (4.13)d d meanH B P T V    
  
     
Frictional losses can be calculated by [64]
5 2
2 8.5 10 2
(4.14)
mean TV B Stroke Length d
Fq
Clearance

        
Heat transfer through the walls can be obtained by:
  (4.15)surface wall dq H A T T dt     
Net heat transfer losses,
  (4.16)Q q Fq 
Corresponding temperature,
 , 3
(4.17)
10
d h d
d v
Q
T T
m C 
   
 
 

 
  
   
The temperature so obtained above is substituted back in equation 4.14 and is proceeded further until it falls under the desired
accuracy. Hence, the so corrected value of temperature (T+d_h) is used to calculate the corrected value of pressure for the obtained
approximate pressure from equation (4.1) by taking into account of Cp, R, Heat transfer & Frictional losses.
,
, 5
(4.18)
10
d h new d
d h
d
T R m
P
V
   
 
 
 
 

   

This so obtained corrected value of pressure is substituted back into equation (4.5) and the process continues until the desired
accuracy is achieved and this is used for next step. The entire calculations are carried out for 1o
crank rotation till the closing of
suction valve or pressure approaches just near to atmosphere.
RESULTS & DISCUSSION OF THE MODEL -
Results of the Expansion Process
0
10
20
30
40
50
60
350 400 450 500 550
Pressure(bar)
Crank Angle (Degree)
Pressure Vs Crank Angle for Expansion
Process
0
200
400
600
800
1000
1200
1400
1600
350 400 450 500 550
Temparture(oC)
Crank Angle (Degree)
Temperature Vs Crank Angle for
Expansion Process
International Journal of Innovative Research in Advanced Engineering (IJIRAE) ISSN: 2349-2163
Volume 1 Issue 6 (July 2014) http://ijirae.com
________________________________________________________________________________________________________
© 2014, IJIRAE- All Rights Reserved Page - 311
it can be concluded that the pressure as well as temperature observed to be decreasing rapidly at initial period of expansion. At the
end of the expansion process, pressure is 3.685 bar and temperature is 775.86K.
Results of Exhaust Process
The results obtained from the above Fig. of the exhaust process reveals that the model clearly shows the surging phenomena
during the exhaust. At the end of the exhaust process pressure is 1.1281bar and temperature is 557.21K.
0
10
20
30
40
50
60
0 0.00005 0.0001 0.00015 0.0002 0.00025 0.0003 0.00035 0.0004
Pressure(bar)
Volume (m3)
Pressure Vs Volume for Expansion
Process
0
5
10
15
20
25
30
35
40
45
542 592 642 692 742
Pressure(bar)
Crank Angle (Degree)
Pressure Vs Crank Angle for Exhaust
Process
0
200
400
600
800
1000
542 592 642 692 742
Temperature(oC)
Crank Angle (Degree)
Temperature Vs Crank Angle for
Exhaust Process
0
5
10
15
20
25
30
35
40
45
0 0.00005 0.0001 0.00015 0.0002 0.00025 0.0003 0.00035 0.0004
Pressure(bar)
Volume (m3)
Pressure Vs Volume for Exhaust
Process
International Journal of Innovative Research in Advanced Engineering (IJIRAE) ISSN: 2349-2163
Volume 1 Issue 6 (July 2014) http://ijirae.com
________________________________________________________________________________________________________
© 2014, IJIRAE- All Rights Reserved Page - 312
CONCLUSION
From the results of simulation, it concludes that the trend of pressure and temperature with increasing crank angle is quite logical
to the actual S.I. engine. The overall efficiency obtained with discrete approach for equivalence ratio of unity is 47.60% while that
with differential approach is 38.39%. This shows that both approaches gives quite close results. Further, the efficiency levels
obtained are higher than that of the gasoline-air engine which is quite in tune with the experimental results obtained by various
researchers who have concluded that the efficiency level of H2-air engine are about 50% higher than gasoline-air en
The authors feel that the Delayed Entry Technique is designed for the backfire ree operation will become an essential
feature of future H2 fuelled engines. It is also felt that this valve can be used on any gas engine for utmost safe operation.
REFERNCES
1. Billings R.E.& Lynchr.E. “History Of Hydrogen Fuelled Internal Combustion Engines”, Billing Research Publication No.
73001, 1973
2. Ennen R.A. & Cambell W.H. “Hydrogen: Commertial fuel for I.C.Engine and other purpose”, Journal of Institute of fuel
(London), Vol. 6,No. 29, pp. 227-290,1933
3. King R.O., Hayes S.V., Allan A.B., Anderson R.W.P. & Walker “The Hydrogen Engine: Combustion knock and related flame
velocity, Trans. Engg. Inst. Of Canada,Vol. 2, pp. 442-454, 1957
4. Channiwala S.A. Dissertation Report On “Hydrogen As IC Engine Fuel”, M.Tech. Thesis, Submitted IIT Bombay, 1980
5. Carl A., Kukkonen & Mordecai Shelef " Hydrogen as an Alternative Automative Fuel: 1993 Update," SAE Paper N. 940766
6. J.B.Heywood “Fundamental Of Internal Combustion Engine” Macgraw Hill International Edition, Volume I, 1986
7. Benson Ronald S “Thermodynamics and Gas Dynamics of Internal Combustion Engine”, Oxford University Press Vol. II 1986
8. Ganeshan V. “Computer Simulation of S.I.Engine Process, Mcgrow Hill Book Company Hyderabad, 1988
9. Ramos, J.I., “Internal combustion engine modeling”, Hemisphere publishing corporation, 1989
10. Blair, G. P., “Design and simulation of four-stroke engines”, SAE Publication, 1999.
11. Benson, R. S., Garg, R. D. and Wallatt, D., “A numerical solution of unsteady flow problems”, Int. J. Mech. Sci., vol. 6, No. 1,
1964.
12. Patterson, D. J., “A comprehensive cycle analysis and digital computer simulation for spark ignited engines”, Ph.D. Thesis,
submitted at University of Michigan, 1962.
13. Winterbone, D. E. and Pearson, R. J., “Design techniques for engine manifolds, Wave action methods for an I.C. engines”,
professional Engineering Publishing Ltd., 1999.
14. Witerbone, D. E. and Zhao, Y., “Numerical simulation of intake and exhaust flows in a high speed multi-cylinder petrol engine
using the Lax-Wendroff method”, I Mech E, C 430/038, 1991.
15. Bingham, J. F. and Blair, G. P., “an improved branched pipe model for multi-cylinder automotive engine calculations”, Proc. I.
Mech. E., vol. 199, No. D1, 1985.

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Simulation of Expansion & Exhaust Process with Delayed Entry Technique Using Discrete Approach for Hydrogen Fuelled Engine

  • 1. International Journal of Innovative Research in Advanced Engineering (IJIRAE) ISSN: 2349-2163 Volume 1 Issue 6 (July 2014) http://ijirae.com ________________________________________________________________________________________________________ © 2014, IJIRAE- All Rights Reserved Page - 307 Simulation of Expansion & Exhaust Process with Delayed Entry Technique Using Discrete Approach for Hydrogen Fuelled Engine Dr. Vikas J. Patel Dr.S.A.Channiwala CKPCET,Surat SVNIT, Surat ABSTRACT -- The rapidly increasing worldwide demand for energy and the progressive depletion of fossil fuels has led to an intensive research for alternative fuels which can be produced on a renewable basis. Hydrogen in the form of energy will almost certainly be one of the most important energy components of the early next century. Hydrogen is a clean burning and easily transportable fuel. Most of the pollution problems posed by fossil fuels at present would practically disappear with Hydrogen since steam is the main product of its combustion. This Paper deals with the modeling of Suction and Compression Processes for Hydrogen Fuelled S.I.Engine and also describes the safe and backfire free Delayed entry Technique. A four stroke, Multicylinder, Naturally aspirated, Spark ignition engine, water cooled engine has been used to carrying out of investigations of Suction Process. The Hydrogen is entered in the cylinder with the help of Delayed Entry Valve. This work discusses the insight of suction process because during this process only air and Hydrogen enters in to cylinder, which after combustion provides power. Simulation is the process of designing a model of a real system and conduction experiment with it, for the purpose of understanding the behavior of the design. The advent of computers and the possibilities of performing numerical experiments may provide new way of designing S.I.Engine. In fact stronger interaction between Engine Modelers, Designers and Experimenters may results in improved engine design in the not-to-distant future. A computer Programme is developed for analysis of suction and Compression processes. The parameter considered in computation includes engine speed, compression ratio, ignition timing, fuel-air ratio and heat transfer. The results of computational exercise are discussed in the paper. KEYWORDS: Computer simulation, Mathematical model, Suction Process, Delayed Entry Technique, Hydrogen Fuel INTRODUCTION Internal Combustion Engines are those engines in which combustion of fuels takes place inside the engine and hence the chemical energy is converted in to thermal energy, which is further converted into mechanical work. The present acute shortage of conventional fuels has necessitated the need for alternate fuel research. Hydrogen, which can be produced from natural gas or water, is proved to be a practical and potential alternate fuel for the I.C. Engine. The replacement of hydrocarbons by Hydrogen in automotive vehicles is expected to results in a considerable reduction in environmental pollution, since the harmful emission of unburned hydrocarbons and oxides of nitrogen are either avoided or minimized. With Hydrogen as a fuel, the engine exhaust is free from carbon monoxide and hydrocarbon emission, except very small quantities, which may be due to the combustion of lubricating oil. Further it does not contain sulfur, lead compounds or smoke and is virtually odorless. When Hydrogen-air combustion takes place in an I.C. engine cylinder, the only product of combustion are water vapour and oxides of nitrogen and the engine will be pollution free. It has been proved that the higher thermal efficiency of Hydrogen engine can offset the higher production cost. With only minor modifications, the conventional diesel cycle engine can be operated efficiently using Hydrogen as fuel with atmospheric air supplying the necessary oxygen. PROPERTIES OF HYDROGEN Table 1. Shows that main combustion properties of Hydrogen provide its use as an IC engine fuel. A low fuel conversion rate is problem with gaseous-fueled engines run with high amounts of excess air. The low quenching distance of Hydrogen offers improvement in this matter. Hydrogen flames can easily penetrate into difficult chamber zones and reach the unburnt mixtures than that of fossil fuels. Optimized Hydrogen engines can be run at higher compression ratio than that with unleaded gasoline. It makes Hydrogen powered engines 15-25 % more efficient than gasoline engines. Table 1: Properties of Hydrogen Description Hydrogen Laminar flame speed 1.96 m/sec Theoretical flame Temperature 2140 o C Minimum ignition energy 0.02 MJ
  • 2. International Journal of Innovative Research in Advanced Engineering (IJIRAE) ISSN: 2349-2163 Volume 1 Issue 6 (July 2014) http://ijirae.com ________________________________________________________________________________________________________ © 2014, IJIRAE- All Rights Reserved Page - 308 Quenching distance 0.6 mm Normalized flame emmisivity 1 Normal Boiling Point 20.27 K Auto ignition temperature 858 K Burning velocity 265 to 325 cm/sec LITERATURE SHOWCASE Beauties of Hydrogen were recognized as early as in 1820. In 1820, W.Cecil [1] read a paper before Cambridge philosophical society on “The Application of Hydrogen gas to produce a motive power in Machinery”. Then after an elapse of century,. Ricardo [1] published in the “Report of the Empire Motor Fuel Committee” a very instructive paper on experiments carried out with Hydrogen and air used as a promoter with Petrol and Kerosene. He noticed that with a rich mixture pained by backfire, Ennen [2] in Germany, in 1933 dealt successfully with the backfire problem by injecting Hydrogen directly in to the cylinder, but the knocking persisted. King[3] made valuable contribution on the subject of pre-ignition and combustion knock in Hydrogen engine. He found that any particulate matter provides hot spot for pre-ignition and the combustion knock is an inherent property of near stoichiometric Hydrogen-air mixture due to the extremely high flame velocity. The major conclusions derived from the available literature are as follows: Any existing engine can be converted to Hydrogen fuelled engine with minor modifications. The part load & thermal efficiencies of H2 fuelled engine are higher than gasoline air engine. Hydrogen induction technique is easier to adopt as compared to Hydrogen injection technique. Emission levels of H2 - air engine are far less than that of gasoline – air engine if equivalence ratio is not exceeded 0.6 in H2 - air engine (i.e. Lean operation) Equivalence ratio more than 0.6 results in back fire problems. If H2 – air engine has to be operated in the range of 0.6 to 1.0- equivalence ratio, we have to go for EGR or water induction or delay entry technique to achieve backfire free operation and lower NOx emission. The reported optimum spark advance for H2 – air engine lies in between 7o to 12o BDC. The optimum compression ratio lies in between 8 to 12 for H2 – air engine. AIM OF THE PRESENT WORK The aim of the present work is to model suction and Compression Processes in Hydrogen fueled Engine and by that improve fuel economy and govern power capacity of the engine. And also to describe the safe and backfire free H2 fuelled engine using Delayed Entry Technique. EXPANSION PROCESS During this stroke both the inlet valve and exhaust valves are in the closed position. The mixture, which fills the entire cylinder volume, is now compressed into the clearance volume at the end of the compression stroke. The analysis of the process is carried out by finding the values of pressure and temperature for every 1 of crank rotation. Initially, it is assumed that the compression process is isentropic i.e.  = 1.40. Hence, for this value of , the corresponding temperature will be, 1 1 (4.19)ddT V T V              Where, V and V+d are obtained from equation 4.3, and T+d is evaluated. This temperature is further corrected by considering wall heat transfer and fluid friction through equation 4.10 to 4.16 and the T+d is evaluated as: 3 exp (4.20) 10new hd d new v Q T T m C               Using the values of T and T+d new,h the average value of temperature Tmean can be calculated. Further using the value of Tmean the value of Cvmea and revised value of may be evaluated as per the procedure outlined. 3. This new value of  is again used in eq. to calculate T+d and this is continued until the final and the pre assumed values do not vary significantly. Now using the final value of T+d the value of P+d can be calculated through eq. (4.1). EXHAUST PROCESS During this stroke, burned gases expand into the cylinder. en when the inlet valve remains opened. The variation of pressure and temperature in this suction process is obtained by considering heat transfer and friction at each crank degree rotation in discrete
  • 3. International Journal of Innovative Research in Advanced Engineering (IJIRAE) ISSN: 2349-2163 Volume 1 Issue 6 (July 2014) http://ijirae.com ________________________________________________________________________________________________________ © 2014, IJIRAE- All Rights Reserved Page - 309 manner. The heat transfer coefficient and frictional losses are evaluated based on average gas velocity inside the cylinder which is obtained using momentum balance and not through available procedures. The modeling of the process starts by assuming that for the small rotation (d) of the crank, the temperature inside the cylinder does not vary, which is corrected later on by iteration. Considering the equation of state [62, 63], [For IdealGas] (4.1)d d d P V P V T T                Where, volume at any crank angle is given by [64]: 2 2 1 [( 1) ( sin ) cos ] (4.2)V Fc r n n n n          From the above relation, the values of V and V+d can be calculated. Hence, P+d can be calculated. Therefore, (4.3)p atm dd P P   Hence, from Bernoulli’s equation [64], the velocity at which the charge is coming inside the cylinder can be calculated [64] as: arg (2 ) (4.4) p d ch e d U C D    Where, Dcharge is the density of the charge that can be calculated by relation. arg arg (4.5) ( ) atm ch e ch e atm P D R T   Therefore, the mass ‘dm’ that is coming inside can be calculated by: arg (4.6)m ch e planer d td D U A C d     Aplaner is calculated as per the lift ‘h’ of the inlet valve, which is given by Blair [64]. The mass of exhaust that is present at 0 of the crank can be calculated by exp 0 exp exp( ) (4.7)m P V R T    Hence the total mass at ( + d)o can be obtained by (4.8)d mm m d     Applying the Energy balance between the mass that was present at  o, the mass ‘dm’ that is coming from outside into the cylinder and the new mass at ( + d) o .       arg (4.9) ch e d p m p atm d d p m C T d C T T m C                        The surface area at which heat transfer takes place can be obtained by [64] 2 (4.10) 2 2 surface rad B strokeLength A                The temperature of the cylinder walls is varying along the length. Assuming this variation to be linear based on experimental measurements [64],the instantaneous wall temperature at any crank angle  is evaluated as [6]:  0.388 423 (4.11)wallT K   Initially we store the approximation of pressure obtained from equation 4.1 to a new variable ‘P’ for taking heat transfer losses into account. Taking Momentum balance,       (4.12) piston m mean d m V d U V m        
  • 4. International Journal of Innovative Research in Advanced Engineering (IJIRAE) ISSN: 2349-2163 Volume 1 Issue 6 (July 2014) http://ijirae.com ________________________________________________________________________________________________________ © 2014, IJIRAE- All Rights Reserved Page - 310 Using this mean velocity, we calculate the heat transfer coefficient using the relation [63] 0.12 0.5 0.5 0.8 3 0.13 10 (4.13)d d meanH B P T V              Frictional losses can be calculated by [64] 5 2 2 8.5 10 2 (4.14) mean TV B Stroke Length d Fq Clearance           Heat transfer through the walls can be obtained by:   (4.15)surface wall dq H A T T dt      Net heat transfer losses,   (4.16)Q q Fq  Corresponding temperature,  , 3 (4.17) 10 d h d d v Q T T m C                    The temperature so obtained above is substituted back in equation 4.14 and is proceeded further until it falls under the desired accuracy. Hence, the so corrected value of temperature (T+d_h) is used to calculate the corrected value of pressure for the obtained approximate pressure from equation (4.1) by taking into account of Cp, R, Heat transfer & Frictional losses. , , 5 (4.18) 10 d h new d d h d T R m P V                   This so obtained corrected value of pressure is substituted back into equation (4.5) and the process continues until the desired accuracy is achieved and this is used for next step. The entire calculations are carried out for 1o crank rotation till the closing of suction valve or pressure approaches just near to atmosphere. RESULTS & DISCUSSION OF THE MODEL - Results of the Expansion Process 0 10 20 30 40 50 60 350 400 450 500 550 Pressure(bar) Crank Angle (Degree) Pressure Vs Crank Angle for Expansion Process 0 200 400 600 800 1000 1200 1400 1600 350 400 450 500 550 Temparture(oC) Crank Angle (Degree) Temperature Vs Crank Angle for Expansion Process
  • 5. International Journal of Innovative Research in Advanced Engineering (IJIRAE) ISSN: 2349-2163 Volume 1 Issue 6 (July 2014) http://ijirae.com ________________________________________________________________________________________________________ © 2014, IJIRAE- All Rights Reserved Page - 311 it can be concluded that the pressure as well as temperature observed to be decreasing rapidly at initial period of expansion. At the end of the expansion process, pressure is 3.685 bar and temperature is 775.86K. Results of Exhaust Process The results obtained from the above Fig. of the exhaust process reveals that the model clearly shows the surging phenomena during the exhaust. At the end of the exhaust process pressure is 1.1281bar and temperature is 557.21K. 0 10 20 30 40 50 60 0 0.00005 0.0001 0.00015 0.0002 0.00025 0.0003 0.00035 0.0004 Pressure(bar) Volume (m3) Pressure Vs Volume for Expansion Process 0 5 10 15 20 25 30 35 40 45 542 592 642 692 742 Pressure(bar) Crank Angle (Degree) Pressure Vs Crank Angle for Exhaust Process 0 200 400 600 800 1000 542 592 642 692 742 Temperature(oC) Crank Angle (Degree) Temperature Vs Crank Angle for Exhaust Process 0 5 10 15 20 25 30 35 40 45 0 0.00005 0.0001 0.00015 0.0002 0.00025 0.0003 0.00035 0.0004 Pressure(bar) Volume (m3) Pressure Vs Volume for Exhaust Process
  • 6. International Journal of Innovative Research in Advanced Engineering (IJIRAE) ISSN: 2349-2163 Volume 1 Issue 6 (July 2014) http://ijirae.com ________________________________________________________________________________________________________ © 2014, IJIRAE- All Rights Reserved Page - 312 CONCLUSION From the results of simulation, it concludes that the trend of pressure and temperature with increasing crank angle is quite logical to the actual S.I. engine. The overall efficiency obtained with discrete approach for equivalence ratio of unity is 47.60% while that with differential approach is 38.39%. This shows that both approaches gives quite close results. Further, the efficiency levels obtained are higher than that of the gasoline-air engine which is quite in tune with the experimental results obtained by various researchers who have concluded that the efficiency level of H2-air engine are about 50% higher than gasoline-air en The authors feel that the Delayed Entry Technique is designed for the backfire ree operation will become an essential feature of future H2 fuelled engines. It is also felt that this valve can be used on any gas engine for utmost safe operation. REFERNCES 1. Billings R.E.& Lynchr.E. “History Of Hydrogen Fuelled Internal Combustion Engines”, Billing Research Publication No. 73001, 1973 2. Ennen R.A. & Cambell W.H. “Hydrogen: Commertial fuel for I.C.Engine and other purpose”, Journal of Institute of fuel (London), Vol. 6,No. 29, pp. 227-290,1933 3. King R.O., Hayes S.V., Allan A.B., Anderson R.W.P. & Walker “The Hydrogen Engine: Combustion knock and related flame velocity, Trans. Engg. Inst. Of Canada,Vol. 2, pp. 442-454, 1957 4. Channiwala S.A. Dissertation Report On “Hydrogen As IC Engine Fuel”, M.Tech. Thesis, Submitted IIT Bombay, 1980 5. Carl A., Kukkonen & Mordecai Shelef " Hydrogen as an Alternative Automative Fuel: 1993 Update," SAE Paper N. 940766 6. J.B.Heywood “Fundamental Of Internal Combustion Engine” Macgraw Hill International Edition, Volume I, 1986 7. Benson Ronald S “Thermodynamics and Gas Dynamics of Internal Combustion Engine”, Oxford University Press Vol. II 1986 8. Ganeshan V. “Computer Simulation of S.I.Engine Process, Mcgrow Hill Book Company Hyderabad, 1988 9. Ramos, J.I., “Internal combustion engine modeling”, Hemisphere publishing corporation, 1989 10. Blair, G. P., “Design and simulation of four-stroke engines”, SAE Publication, 1999. 11. Benson, R. S., Garg, R. D. and Wallatt, D., “A numerical solution of unsteady flow problems”, Int. J. Mech. Sci., vol. 6, No. 1, 1964. 12. Patterson, D. J., “A comprehensive cycle analysis and digital computer simulation for spark ignited engines”, Ph.D. Thesis, submitted at University of Michigan, 1962. 13. Winterbone, D. E. and Pearson, R. J., “Design techniques for engine manifolds, Wave action methods for an I.C. engines”, professional Engineering Publishing Ltd., 1999. 14. Witerbone, D. E. and Zhao, Y., “Numerical simulation of intake and exhaust flows in a high speed multi-cylinder petrol engine using the Lax-Wendroff method”, I Mech E, C 430/038, 1991. 15. Bingham, J. F. and Blair, G. P., “an improved branched pipe model for multi-cylinder automotive engine calculations”, Proc. I. Mech. E., vol. 199, No. D1, 1985.