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For an initial analysis of a SI engine, the basic Otto cycle can be used. The following data applies: Ambient pressure and temperature, 101 kPa, 310 K; Swept (displacement) volume: 3000 cm3;...

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For an initial analysis of a SI engine, the basic Otto cycle can be used. The following data applies:
Ambient pressure and temperature, 101 kPa, 310 K; Swept (displacement) volume: 3000 cm3;
Stroke-to-bore ratio (S/B): 1:1;
Design, 6 cylinder, 4 stroke, compression ratio 9.5:1; Design speed range, 1000 to 5000 RPM;
Pressure and temperature in the cylinder at the start of compression at wide open throttle (WOT) at 2400 RPM: 95 kPa, 60oC;
Air to fuel ratio 15.5:1;
Heating value (HV) of the fuel 44 MJ/kg.
  1. Find the bore size and stroke length of thisengine;
-4
Calculatethemass ofairand mass of fuel percylinderpercycle(m&air=4.6688x10kg);
  1. Calculate the heat input per kg of mixture per cycle, qH XXXXXXXXXX7kJ/kg)
  2. Using an isentropic index of 1.4 for cold air and a value of R of 0.287kJ/kg-K, determine the pressure and temperature conditions at each point in thecycle;
  3. Calculate the engine thermal efficiency, specific net work, the engine net work output per cylinder per cycle, the engine power output, and the mean effective pressure(59%, 1583 kJ/kg, XXXXXXXXXXkJ/cylinder/cycle, 94.4 kW, 1573.4kPa).

Assignment 2
(Red words are correct result)
A single-cylinder four-stroke compression ignition (CI) engine with 12.9 cm bore and
  1. cm stroke, operating at 2000 RPM, uses 0.311 kg of fuel in four minutes while developing a torque of 90 N-m. The engine compression ratio is 18:1 andmechanical efficiency is 85%.Calculate
  1. engine displacement in litre and m3(2.3526L, 0.0023526m3).
  2. clearance volume (0.13839L).
  3. brake power in kW (18.85).
  4. indicated power in kW(22.18).
  5. friction power inkW.
  6. fuel mass flow rate ing/s.
  7. brake specific fuel consumption (bsfc) in g/kW-h(247.48).
  8. brake mean effective pressure (BMEP) in kPa(480.74).
  9. indicative mean effective pressure (IMEP) in kPa(565.58).
  10. friction mean effective pressure (FMEP) in kPa(84.84).

Assignment 3
Answered Same Day Dec 26, 2021

Solution

David answered on Dec 26 2021
118 Votes
Assignment-1
The given data,
The ambient pressure and temperature,
101kPa, 310 K
The displacement volume,
33000 cm
Stroke to bore ratio,
1 : 1
The speed range,
1000, 5000 RPM
Heating value of the fuel,
44 MJ/kg
1.
Apply the formula for bore diameter,
Bore
3
Bore
Engine displacement
Stroke number of cylinders
3000 cm
11.18 cm
4 6
D
D


 


Stroke length for the cylinder,
Engine displacement
Stroke length
Bore Bore 0.7854 No. of cylinde
3000
Stroke length 4.72 cm
11.8 11.8 0.7854 6

  
 
  



2.
First calculate the clearance volume,
1
2
3
0.003
9.5
8.5 0.003
350 cm
c d c
c
c c
c
c
V V VV
V V V
V
V
 
   



Apply the ideal gas equation,
1 1
1
101 0.00335
0.00380 kg
0.287 310
m
PV
m
RT

  


Here mm is the mass of mixed gas. and 1 d cV V V  .
Now, find the pressure and temperature,
1.35
2 1
1 0.35 0
2 1
32
2
2
( ) 101 (9.5) 2109.8 kPa
(r ) 310 (8.6) 658.3 C
0.00380 0.287 931.3
0.0004814 m
2109.8
k
c
k
c
P P
T T
mRT
V
P

   
   
 
  
Now,
Mass of air, mass of fuel,
15.5
16.5
15.5
0.00380 0.00356 kg
16.5
a m
a
m m
m
 
  

And,
1
0.00380 0.0002303 kg
16.5
fm   
3.
Calculate the heat input per cycle,
in 3 2
3
0
3
( )
0.0002303 44000 (1) 0.00380 0.821 ( 931.3)
47825.33 K 4179.3 C
f HV c m v
in
Q m Q m c T T
Q T
T
  
      
 

And, 33 2 0.0004814 mV V 
So,
2 3
3
2
2109.8 4179.3
9467.9 kPa
931.3
P T
P
T

  
Now, find the final temperature, pressure, and volume;
1 0
4 3 0.35
4 3 1.35
34
4
4
1
(1 / r ) 4179 1601 C
15.5
1
(1 / r ) 9467 234 kPa
15.5
0.000380 0.287...
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