Abstract

Nowadays, attractions are focused on Stirling engines because of their low noise, external combustion, and the possibility of employing solar energy. These engines can be designed and applied in cases of low or high-temperature differences, as needed. Evidently, the cylinder’s layouts and how they are arranged and the used movement mechanism can affect the engine performance. Experts and Engineers are always looking to increase efficiency and also increase the output work of the Stirling engines. In this study, the dimensional synthesis of the kinematic chain using in the Stirling engine will be discussed. For this purpose, kinematic relationships of different layouts of Stirling are extracted, and by optimizing the mechanism based on the maximum output work, the optimal values of the geometrical parameters of the mechanism and the lengths of its links are obtained. Evolutionary optimization Algorithms, including genetic algorithm, particle swarm optimization, and imperialist competition algorithm methods are employed to optimize the problem, and their obtained results are compared. The problem is solved for four different layouts of the Stirling engine. Based on the results, the output work can be increased 9 to 14 times by varying the geometrical parameters of the Stirling engine mechanism without considering changes in thermodynamic parameters, high-temperature, and low-temperature values. Moreover, average improvement (between three optimization algorithms) for output work is about 13.05, 9.14, 10.71 and 14.36 times for α type with slider-crank, β type with slider-crank, γ type with slider-crank and α type with Ross-Yoke, respectively. Therefore, the α type Stirling engine has better advance than β and γ types, for maximizing the output work based on changing the geometrical parameters.

Highlights

  • Reduction in the amount of fossil fuels resources which is integrated with environmental pollution causing by combustion of these kinds of fuels is caused to reduce their utilization and started to replace clean and renewable fuels such as solar energy, geothermal energy, etc. as an alternative option for conventional fossil fuels (Ahmadi et al, 2019, 2018)

  • The performance cycle of the Stirling engine can be examined from two perspectives: theoretical analysis, which performs mathematical calculations on the Stirling cycle, and empirical measurements, which illustrate the actual characteristics of the cycle

  • It makes it clear that the higher value for the lengths of the links not necessarily leads to higher output work

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Summary

Introduction

Reduction in the amount of fossil fuels resources which is integrated with environmental pollution causing by combustion of these kinds of fuels is caused to reduce their utilization and started to replace clean and renewable fuels such as solar energy, geothermal energy, etc. as an alternative option for conventional fossil fuels (Ahmadi et al, 2019, 2018). Various industries are working to make the most of these clean, renewable, and free energy by conducting extensive research and creating the right atmosphere Mechanical engines, such as gasoline and diesel engines, have a significant share in the use of fossil fuels due to their high usage in the modern era. Bataineh has proposed a combined thermodynamic and dynamic model for the α-type Stirling engine with the Ross-Yoke mechanism (Bataineh, 2018) He had a parametric study to investigate the effect of geometric and operation parameters on engine performance, including the effects of regenerator effectiveness, the dead volume ratio, the heat source temperature, and the swept volume ratio. Considering that the final purpose is to increase and maximize the output work of the engine, the heuristic optimization algorithms for each of the layouts are studied, and the optimal values for the links length are calculated

Performance mechanisms of the Stirling engine
Different layouts of the Stirling engine
Stirling engine’s mechanism
Thermodynamic modeling
Kinematic modeling
Optimization
Optimization algorithms’ parameters
Results
Conclusion
Rahmati
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