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Heat Release in Indirect Injection Engines

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Modelling Diesel Combustion

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Abstract

The rate of heat release in an indirect injection engine is modelled on the lines of the observed rate in a direct injection engine. The premixed burning is assumed to take place only in the prechamber. The diffusion burning was modelled to be proportional to the modelled rate of air entrainment and available fuel. The diffusion burning is stopped in the auxiliary chamber, once all the air in it is consumed. Comparison of experimental data with the results of simulation over a wide range of speed and load was encouraging. Different engine parameters were varied, and their effects on engine performance are discussed.

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Abbreviations

A :

A coefficient in expression for fmep, 0.06898 (bar)

A :

Geometrical area of the orifice (m2)

A :

Arrhenius pre-exponent, 2.58 \(\times\) 10–4 (–)

B :

A coefficient in expression for fmep, 0.02897 (bar/rps)

C :

A coefficient in expression for fmep, 4.008 \(\times\) 10–3 (bar/(m/s)2

C :

Concentration of fuel in the chamber from which the mass transport takes place (–)

C D 1 , C D 2 :

Constants describing the rate of diffused combustion (–)

C m :

Mean piston speed (m/s)

C P 1 :

A constant dependent on the delay period describing premixed combustion (–)

C P 2 :

A constant for all engines, describing premixed combustion, 5000 (–)

D c :

Discharge coefficient of the orifice (–)

dmd/dτ:

Rate of diffusion burning (kg/non-dimensional time)

dmdx/dτ:

Rate of diffusive burning in chamber X (kg/non-dimensional time)

dmP/dτ:

Rate of the burning of premixed fuel (kg/non-dimensional time)

dmx/dτ:

Rate of transport of gases to the chamber from the adjoining chamber (kg/non-dimensional time)

E :

Arrhenius pseudo activation energy 38,689 (kJ/mol)

fmep:

Friction mean effective pressure (bar)

m :

−0.293, a constant in Eqs. (7.11, 7.12)

m d (t) :

Fuel quantity that would burn diffusively after t seconds (kg)

m f :

Total injected fuel. (kg)

N :

Engine speed (rpm)

n :

A constant in Eqs. (7.11, 7.12), −0.25

p :

A constant in Eqs. (7.11, 7.12), −0.25

P 1 :

Upstream pressure (Pa)

P 2 :

Downstream pressure (Pa)

P I :

Prechamber pressure (bar)

q :

A constant in Eq. (7.11) (–)

q, m, n, p :

Constants for a given engine (–)

r :

A constant in Eq. (7.12) (–)

R u :

Universal gas constant, 8.32 (kJ/kmol K)

T 1 :

Upstream temperature (Pa)

T I :

Prechamber temperature (K)

U p :

Crank speed (rev/s)

x :

I refers to the auxiliary chamber, II refers to the main chamber (–)

β :

Premixed fuel fraction (fraction of fuel mixed with air during the delay) (–)

δ :

Ignition delay (ms)

λ :

Relative air–fuel ratio (–)

Ï„ :

Time, non-dimensionalized with respect to nominal combustion duration (–)

References

  1. Austen AEW, Lyn WT (1962) The application of heat release analysis to engine combustion study. CIMAC, Copenhagen

    Google Scholar 

  2. Borman GL (1980) Modelling flame propagation and heat release in engines. In: Mattavi JN, Amann CA (eds) Combustion modelling in reciprocating engines. Plenum, New York

    Google Scholar 

  3. Bowden CM, Samaga BS, Lyn WT (1969) Rate of heat release in high-speed induction ignition engines. In: Proceeding Swirl chamber wall heat loss Main chamber variation of swirl chamber wall temperature—IMechE 1969–70 184 1. Part 3

    Google Scholar 

  4. Brandstetter WR (1980) Modelling of a stratified charge engine with an unscavenged prechamber. In: Mattavi JN, Amann CA (eds) Combustion modelling in reciprocating engines. Plenum, New York

    Google Scholar 

  5. Lakshminarayanan PA, Nagpurkar UP (1986) Rate of heat release for the divided combustion chamber. SAE 860084

    Google Scholar 

  6. Mansouri SH, Heywood JB, Radhakrishnan K (1982) Undivided chamber engine Part I: a cycle simulation, which predicts and emissions. SAE 820273, Detroit, February

    Google Scholar 

  7. Millington BW, Hartles ER (1968) Frictional losses in diesel engines, SAE 680590

    Google Scholar 

  8. Miyamoto N, Cnikahisa T, Murayama, Sawyer TR (1985) Description of diesel engine rate of combustion and performance using Vibe's functions. SAE 850107

    Google Scholar 

  9. Plee SL, Ahmad T (1983) Relative roles of premixed and diffusion burning in diesel combustion, SAE 831733

    Google Scholar 

  10. SAE Handbook (1984) 3, pp 24.01

    Google Scholar 

  11. Scott J (1985) Giving the IDI diesel a fresh start, SAE 850452

    Google Scholar 

  12. Terada K (1981) Ermittlung der Gastemperaturen in beiden Brennraumen eines viirbelkammer dieselmotors. Motortechnische Zeitschrift (MTZ), 42

    Google Scholar 

  13. Watson N, Pilley AD, Marzouk M (1980) A combustion correlation for diesel engine simulation, SAE 800029

    Google Scholar 

  14. Wiebe I (1956) Halbempirische Formel fur die Verbrennungsgeschwindigkeit. Verlag der Akademie der Wissenschaften der UdsSR, Moscow

    Google Scholar 

  15. Wolfer HH (1938) Ignition lag in diesel engines, VDI-Forschungsheft No. 392

    Google Scholar 

  16. Woschni G (1961) A universally applicable equation for the instantaneous heat transfer coefficient in the internal combustion engine SAE 675931

    Google Scholar 

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Lakshminarayanan, P.A., Aghav, Y.V. (2022). Heat Release in Indirect Injection Engines. In: Modelling Diesel Combustion. Mechanical Engineering Series. Springer, Singapore. https://doi.org/10.1007/978-981-16-6742-8_7

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  • DOI: https://doi.org/10.1007/978-981-16-6742-8_7

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-6741-1

  • Online ISBN: 978-981-16-6742-8

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