Sequential Cycle Of Carnot Cycle

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Introduction:
• Carnot cycle deals with heat sources of infinite heat capacity.
• The sequential cycle considers the temperature change of finite heat sources which occurs at the heat transfer process between the cycle and heat sources.
• Although a lot of researchers have studied a modified single Carnot cycle to apply it to the actual cycle more practically since Curzon and Ahlborn's research
• Ibrahim and Klein adopted sequential Carnot cycles simply as a reference one to evaluate the performance of some absorption power cycles.
• Sieniutycz and Spakovsky investigated the maximum power output of a multistage continuous endo-reversible Carnot system, they carried out the optimization study by introducing Hamiltonian function.
• Low temperature …show more content…

They obtained the numerical solutions by:
1- Hamilton-Jacobi-Bellman theory: using the dynamic programming algorithm. Baik et al. calculated theoretical maximum power of a heat engine using a low-grade heat source of about 100 by the sequential Carnot cycle model.
2- Ohman and Lundqvist: using low temperature heat sources they adopted local Carnot efficiency, which corresponds to efficiency of each Carnot cycle in sequential systems, and analyzed several power cycles with published field data.
3- Park and Kim: analyzed the thermodynamic performance of sequential Carnot cycles, established useful equations so that the performance of the sequential system is obtained and optimized, their work deal with the case of finite heat sources and infinite heat sinks.

System description and analytical modeling:
• The system is design and operation which with six variables only:

1- N : number of individual cycles in the system
2- : number of transfer unit of a heat …show more content…

• This efficiency change can be enhanced in the condition where the system works with smaller NTU, higher isentropic efficiency,
• And bigger difference between heat source initial temperature and its final temperature.

• The difference between the temperature from simulation and that from theoretical equations is explained by the result from theoretical analysis that the optimal temperature gets higher when the sequential system becomes far away from its ideal condition since an organic Rankine cycle generates more internal irreversibility than a Carnot cycle.
• The highest efficiency is the classic Carnot efficiency obtained from two initial temperatures of heat sources only and three kinds of ideal sequential efficiency are followed. Conclusions:

• It is shown that a sequential ORC has higher efficiency and increased work than a single ORC. The optimal final temperature, which is slightly higher than that from theoretical equations, is also found in the ORC simulation
• There is still a gap between this system and real

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