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Thermodynamic Analysis and Comparison of the Air-Standard Atkinson and Dual-Atkinson Cycles with Heat Loss, Friction and Variable Specific Heats of Working Fluid

  • Research Article - Mechanical Engineering
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Abstract

Employing finite-time thermodynamics, the effects of irreversibility factors, i.e., friction, heat transfer of cylinder wall, compression and expansion efficiencies and variable specific heats (temperature-dependent specific heats of the working fluid) on the air-standard Atkinson and Dual-Atkinson cycles are analyzed. In addition, a numerical comparison between the Atkinson and Dual-Atkinson cycles is made. Moreover, numerical examples show the relations between the thermal efficiency and compression ratio and between power and compression ratio. As mentioned, compression ratio, r c, initial temperature, T 1, specific heat defined by a p, b v and k 1, friction defined by b and heat transfer defined by \({\alpha}\) and \({\beta}\) are some of the key parameters of the internal combustion engines. The effects of these on the performances of the Atkinson and Dual-Atkinson cycles are presented in this article. According to the findings, the thermal efficiency and the output power of the Dual-Atkinson are higher than those of the Atkinson cycle at the same condition. Also, these irreversibility factors must be considered to design and analyze the Atkinson and Dual-Atkinson cycles. The obtained results also will provide guidance for the design of internal combustion engines.

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Abbreviations

a p :

Constant related to constant-pressure molar Specific heat (J/mol K)

b v :

Constant related to constant-v molar Specific heat (J/mol K)

b :

Constant related to friction (kW)

C p :

Molar specific heat with constant pressure (J/mol K)

C v :

Molar specific heat with constant volume (J/mol K)

\({f_{\mu}}\) :

Friction force (N)

k :

Specific heats ratio (k = C p/C v)

k 1 :

Constant (J/mol K2)

K 1 :

Constant (s/K)

K 2 :

Constant (s/K)

M :

Molar number of working fluid (kmol)

P :

Power (kW)

\({P_{\mu}}\) :

Lost power due the friction term (kW)

Q in :

Heat added to the working fluid (kJ)

Q out :

Heat rejected by the working fluid (kJ)

r c :

Compression ratio

r e :

Expansion ratio

r p :

Pressure ratio

R :

Gas molar constant of the working fluid (J/mol K)

s :

Entropy (J/mol K)

t :

Time (s)

T i :

Temperature at state i (K)

V i :

Volume at state i (m 3)

W :

Net work output (kJ)

x :

Piston displacement (m)

\({\alpha}\) :

Constant related to combustion (J/mol)

\({\beta}\) :

Constant related to heat transfer (J/mol K)

\({\eta}\) :

Thermal efficiency

\({\mu}\) :

Coefficient of friction (N s/m)

\({\nu}\) :

Velocity (m/s)

\({\nu_{0}}\) :

Piston’s mean velocity (m/s)

\({\tau}\) :

Cycle period (s)

c:

Compression

e:

Expansion

1, 2, 3, 4 and 5:

State points

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Authors and Affiliations

  1. Young Researchers and Elite Club, Ayatollah Amoli Branch, Islamic Azad University, 4615143358, Amol, Iran

    A. Hajipour

  2. Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Tongji University, 4800 Cao An Rd., Jiading, Shanghai, 201804, China

    M. M. Rashidi & Z. Yang

  3. ENN-Tongji Clean Energy Institute of advanced studies, Shanghai, China

    M. M. Rashidi & Z. Yang

  4. Mechanical Engineering Department, College of Engineering, King Saud University, P.O. Box 800, Riyadh, 11421, Saudi Arabia

    M. Ali

  5. Gort Engovation-Propulsion Research, 15 Southmere Avenue, Bradford, West Yorks, BD73NU, England, UK

    O. Anwar Bég

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  1. A. Hajipour
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Correspondence to A. Hajipour.

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Hajipour, A., Rashidi, M.M., Ali, M. et al. Thermodynamic Analysis and Comparison of the Air-Standard Atkinson and Dual-Atkinson Cycles with Heat Loss, Friction and Variable Specific Heats of Working Fluid. Arab J Sci Eng 41, 1635–1645 (2016). https://doi.org/10.1007/s13369-015-1903-7

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  • DOI: https://doi.org/10.1007/s13369-015-1903-7

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