Abstract
In this paper, an ecological-based numerical analysis and optimization have been carried out for an air-standard irreversible Dual-Miller cycle engine with late inlet valve closing version using the ecological coefficient of performance (ECOP) criterion which covers finite rate of heat transfer, heat leak and internal irreversibilities. A detailed computational analysis has been performed in order to examine the general and optimum performances of the cycle. The results obtained based on ECOP function are compared with a different ecological function and with the maximum power output conditions. The consequences of ECOP, ecological function and maximum power output conditions are acquired based on the compression ratio, cut-off ratio, pressure ratio, Miller cycle ratio, source temperature ratio and internal irreversibility parameter. The influences of these parameters on the optimum performances are examined in detail.
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Abbreviations
- A :
-
Heat transfer area (m2)
- \( C_{\text{P}} \) :
-
Specific heat at constant pressure (kW/kg K)
- \( \dot{C}_{\text{W}} \) :
-
\( \dot{m}C_{\text{P}} \) (kW/K)
- DC:
-
Diesel cycle
- DDC:
-
Dual-Diesel cycle
- DMC:
-
Dual-Miller cycle
- \( \dot{E} \) :
-
Ecological performance function
- ECOP:
-
Ecological coefficient of performance
- \( I_{{\Delta S}} \) :
-
Internal irreversibility parameter
- \( k \) :
-
Isentropic exponent
- MC:
-
Miller cycle
- \( \dot{m} \) :
-
Mass flow rate (kg/s)
- \( N_{\text{T}} \) :
-
Total number of heat-transfer units
- OC:
-
Otto cycle
- \( P \) :
-
Pressure (kPa)
- \( \dot{Q} \) :
-
Rate of heat transfer (kW)
- \( r \) :
-
Compression ratio, \( r = v_{\text{1}} /v_{\text{2}} \)
- \( r_{\text{M}} \) :
-
Miller cycle ratio, \( r_{\text{M}} = v_{\text{6}} /v_{\text{1}} \)
- \( S \) :
-
Entropy (kJ/K)
- \( T \) :
-
Temperature (K)
- \( U \) :
-
Overall heat-transfer coefficient (kW/m2 K)
- \( V \) :
-
Volume (m3)
- \( \dot{W} \) :
-
Power output (kW)
- \( \alpha \) :
-
Stroke ratio, \( \alpha = v_{\text{6}} /v_{\text{2}} \)
- \( \beta \) :
-
Pressure ratio, \( \beta = T_{\text{3}} /T_{\text{2}} \)
- \( \varepsilon \) :
-
Heat-exchanger effectiveness
- \( \chi \) :
-
Allocation ratio \( \left( {N_{{\text{H1}}} + N_{{\text{H2}}} } \right) /N_{\text{T}} \)
- \( \eta \) :
-
Thermal efficiency
- \( \eta_{\text{C}} \) :
-
Isentropic efficiency of compression
- \( \eta_{\text{E}} \) :
-
Isentropic efficiency of expansion
- \( \rho \) :
-
Cut-off ratio, \( \rho = T_{4} /T_{3} \)
- \( \tau \) :
-
Source temperature ratio\( \tau = T_{\text{H}} /T_{\text{L}} \)
- g:
-
Generation
- H:
-
High-temperature heat-source
- L:
-
Low-temperature heat-source
- MAX:
-
Maximum
- MEF:
-
At maximum thermal efficiency condition
- MP:
-
At maximum power output condition
- W:
-
Working fluid
- 0:
-
Environment condition
- *:
-
At maximum ECOP condition
- —:
-
Non-dimensional
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Gonca, G. Thermo-Ecological Analysis of Irreversible Dual-Miller Cycle (DMC) Engine Based on the Ecological Coefficient of Performance (ECOP) Criterion. Iran J Sci Technol Trans Mech Eng 41, 269–280 (2017). https://doi.org/10.1007/s40997-016-0060-2
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DOI: https://doi.org/10.1007/s40997-016-0060-2