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An Experimental Study on Engine Dynamics Model Based on Indicated Torque Estimation

  • Research Article - Mechanical Engineering
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Abstract

Indicated torque has much information regarding the engine performance such as fuel burning rate, combustion heat release rate, mean effective pressure and fuel ratio. It is a good indicator of an engine’s stability to do work. However, due to cost and integration complexities, it is not profitable to use instantaneous torque sensors in automotive series production. The work presented in this paper proposes a comprehensive and practical solution for indicated torque estimation and in-cylinder pressure. Thermodynamic model for predicting engine cycle and measured crankshaft speed fluctuations is used to reach the goal. The result of numerical prediction has been confronted with experimental data. The comparison between various variables, namely gas pressure, total torque and indicated torque, shows good agreement between simulation and experimental results.

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Abbreviations

ATDC:

After top dead center

BTDC:

Before top dead center

CAD:

Crankshaft angular degree

CI:

Compression ignition

CPU:

Computer process time

DFT:

Discrete Fourier transform

\(\theta \) :

Crankshaft angular position, (rad)

\(\dot{\theta }\) :

Instantaneous crankshaft speed, (rad/s)

\(\ddot{\theta }\) :

Instantaneous crankshaft acceleration, (\(\hbox {rad/s}^{2}\))

\(\lambda \) :

Connecting rod length, (m)

\(A_\mathrm{p} \) :

Piston surface, (\(\hbox {m}^{2}\))

D :

Cylinder bore, (m)

J :

Moment of inertia, (kg \(\hbox {m}^{2}\))

LHV :

Lower heating value, (kJ/kg)

\(m_\mathrm{cyl}\) :

Mass of in-cylinder mixture, (kg)

\(m_\mathrm{f}\) :

Mass of injected fuel, (kg)

\(P_\mathrm{cyl}\) :

In-cylinder pressure, (bar)

R :

Crank radius, (m)

\(R_\mathrm{g}\) :

Universal gas constant, (kJ/kg K)

\(T_\mathrm{cyl}\) :

In-cylinder gas temperature, (K)

\(V_\mathrm{cyl}\) :

Cylinder volume, (\(\hbox {m}^{3}\))

References

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Authors and Affiliations

  1. Mechanical Engineering Department, Ecole Nationale Polytechnique d’Oran Maurice, Oran, Algeria

    Mohamed Seddak

  2. Research Laboratory of Environmental Technology, Ecole Nationale Polytechnique d’Oran Maurice, Oran, Algeria

    Mohamed Seddak & Abdelkrim Liazid

  3. Faculty of Sciences, Université Abou Bekr Belkaid, Tlemcen, Algeria

    Abdelkrim Liazid

Authors
  1. Mohamed Seddak
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  2. Abdelkrim Liazid
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Correspondence to Mohamed Seddak.

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Seddak, M., Liazid, A. An Experimental Study on Engine Dynamics Model Based on Indicated Torque Estimation. Arab J Sci Eng 43, 1475–1484 (2018). https://doi.org/10.1007/s13369-017-2970-8

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  • DOI: https://doi.org/10.1007/s13369-017-2970-8

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