Performance Analysis and Simulation of a Diesel-Miller Cycle (DiMC) Engine

  • Guven GoncaEmail author
  • Mehmet Fatih Hocaoglu
Research Article - Mechanical Engineering


A comprehensive performance examination of an engine running on combination of the Diesel and Miller cycles called Diesel-Miller cycle in terms of effective power, density of the effective power, and effective thermal efficiency, which will be called engine performance (ENPER) characteristics, is conducted using a novel thermodynamic simulation model. The impacts of cycle design parameters such as cycle pressure ratio, equivalence ratio, effective compression ratio (r), bore/stroke ratio (d / L), average piston speed, friction coefficient, engine speed (N), stroke (L), and air inlet temperature and air inlet pressure on the ENPER characteristics have been investigated. Additionally, the energy losses depending on exhaust output, friction, incomplete combustion, heat transfer have been defined as a ratio of energy provided by fuel injection. Variable specific heat values with respect to temperature variation for working fluid are used to get realistic results. The results of the study are reasonable and unique, and they could be utilized by researchers and engineers studying on internal combustion engines.


Engine performance characteristics Diesel-Miller cycle engine Performance analysis Thermal efficiency Power density Engine simulation 



Heat transfer area (\(\hbox {m}^{2}\))

\(\hbox {APS}\)

Average piston speed (m/s)


Constant volume specific heat (kJ/kg K)


Constant pressure specific heat (kJ/kg K)

\(\hbox {CPR}\)

Cycle pressure ratio

\(\hbox {CTR}\)

Cycle temperature ratio


Bore (m)

d / L

Bore/stroke ratio

\(\hbox {DiC}\)

Diesel cycle

\(\hbox {DiMC}\)

Diesel-Miller cycle

\(\hbox {DuC}\)


\(\hbox {EFE}\)

Effective thermal efficiency

\(\hbox {EFP}\)

Effective power (kW)

\(\hbox {EFPD}\)

Density of the effective power (\(\hbox {kW}/\hbox {m}^{3}\))

\(\hbox {ENPER}\)

Engine performance

\(\hbox {ER}\)

Equivalence ratio

\(\hbox {EXO}\)

Exhaust output

\(\hbox {F}\)

Fuel/air ratio

\(\hbox {FR}\)


\(\hbox {FTTM}\)

Finite-time thermodynamics modeling

\(\hbox {HTR}\)

Heat transfer


Heat transfer coefficient (W/ \(\hbox {m}^{2}\)K)

\({H}_{\mathrm{\mathrm u}}\)

Lower heat value of the fuel (kJ/kg)

\(\hbox {INC}\)

Incomplete combustion


Stroke length (m), energy loss percentage (%)


Mass (kg)

\(\dot{\hbox {m}}\)

Time-dependent mass rate (kg/s)

\(\hbox {MC}\)

Miller cycle


Engine speed (rpm)

\(\hbox {OMCE}\)

Otto-Miller cycle engine


Pressure (bar), power (kW)


Rate of heat transfer (kW)


Effective compression ratio


Gas constant (kJ/kg K)

\(\hbox {RGF}\)

Residual gas fraction

\(\hbox {SCR}\)

Selective catalytic reduction


Average piston speed (m/s)


Temperature (K)


Volume (\(\hbox {m}^{3}\))

Greek letters

\(\alpha \)

Cycle temperature ratio, atomic number of carbon

\(\beta \)

Pressure ratio, atomic number of hydrogen

\(\delta \)

Atomic number of nitrogen

\(\varepsilon \)

Molar fuel/air ratio

\(\eta _{\mathrm{C}}\)

Isentropic efficiency of the compression process

\(\eta _{\mathrm{E}}\)

Isentropic efficiency of the expansion process

\(\eta _{\mathrm{{ef}}}\)

Effective efficiency

\(\phi \)

Equivalence ratio

\(\gamma \)

Atomic number of oxygen

\(\lambda \)

Cycle pressure ratio

\(\mu \)

Friction coefficient (Ns/m)

\(\rho \)

Density (\(\hbox {kg}/\hbox {m}^{3}\))





Combustion, clearance






Exhaust output






Heat transfer


Initial condition




Incomplete combustion






Residual gas


Stroke, isentropic condition






Cylinder wall


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Copyright information

© King Fahd University of Petroleum & Minerals 2019

Authors and Affiliations

  1. 1.Naval Architecture and Marine Engineering DepartmentYildiz Technical UniversityBesiktas, IstanbulTurkey
  2. 2.Industrial Engineering DepartmentMedeniyet UniversityKadikoy, IstanbulTurkey

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