Numerical Simulation of Beta Type Stirling Engine Considering Heat and Power Losses

Document Type : Research Paper

Authors

1 Professor, Research Ins, Malek-Ashtar University, Tehran, Iran

2 Department of Aerospace, Malek-Ashtar University of Technology, Tehran, Iran

Abstract

In this paper, numerical solution of beta-type Stirling engine was presented considering its non-ideal regenerator. To this end, the second-order model including heat and power losses was used. Then, a numerical code was applied for calculating geometrical and physical optimum values of the engine. To confirm the obtained results, the physical and geometrical parameters of the GPU-3 engine were used. According to the obtained results, the values of heat and power losses in the engine were considerable. Based on the results, heat and power losses in the engine led to decreased power and efficiency by 50.1% and 22.7%, respectively. According to the results from the numerical code, the amounts of porosity, frequency, and length of the regenerator were suggested as less than 0.6, 40 to 50 Hz, and 18 to 22 mm, respectively. The results showed a material with high thermal capacity and low conductivity in the optimum physical and geometrical conditions of the engine.

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Main Subjects


[1] Schmidt, G., "The Theory of Lehmann’s Calorimetric Machine", Z. Vereines Deutcher Ingenieure, 15, part 1, (1871).

[2] Finkelstein, T., "Analogue Simulation of Stirling Engine", Simulation, No. 2, March, (1975).

[3] Urieli, I., and Berchowitz, D. M., "Stirling Cycle Engine Analysis", Oxford University Press, Oxford, (1984).

[4] Kongtragool, B., and Wongwises, S., "A Review of Solar Powered Stirling Engines and Low Temperature Differential Stirling Engines", Renewable and Sustainable Energy Reviews, Vol. 7, pp. 131-154, (2003).
[5] Timoumi, Y., Nasrallah, S.B., and Tlili, I., "Numerical Simulation and Losses Analysis in a Stirling Engine", Heat and Thechnology, Vol. 24, No. 1, pp. 97-105, (2006).
[6] Timoumi, Y., Tlili, I., and Nasrallah, S.B., "Reduction of Energy Losses in a Stirling Engine", Heat and Thechnology, Vol. 25, No. 1, pp. 81-90, (2007).
[7] Timoumi, Y., Nasrallah, S.B., and Tlili, I., "Thermodynamic Analysis of the Stirling Heat Engine with Regenerative Losses and Internal Irreversibilities", Int. J. Engine, Vol. 9, pp. 45-56, (2007).
[8] Timoumi, Y., Tlili, I., and Nasrallah, S.B., "Design and Performance Optimization of GPU-3 Stirling Engines", Energy, Vol. 33, pp. 1100-1114, (2008).
[9] Tlili, I., Timoumi, Y., and Nasrallah, S.B., "Analysis and Design Consideration of Mean Temperature Differential Stirling Engine for Solar Application", Renewable Energy, Vol. 33, pp. 1911-1921, (2008).
[10] Thombare, D.G., and Verma, S.K., "Technological Development in the Stirling Cycle Engines", Renewable and Sustainable Energy Reviews, Vol. 12, pp. 1-38, (2008).
[11] Tavakolpour, A., Zomorodian, A., and Golneshan, A.A., "Simulation, Construction and Testing of a Two Cylinder Solar Stirling Engine Powered by a Flat Plate Solar Collector without Regenerator”, Renewable Energy, Vol. 33, pp. 77-87, (2008).
[12] Gostante, M., and Invernizzi, A., "Stirling Engines using Working Fluids with Strong Real Gas Effects", Applied Thermal Engineering, Vol. 30, pp. 1703-1710, (2010).
[13] Formosa, F., and Despesse, G., "Analytical Model for Stirling Cycle Machine Design", Energy Conversion and Management, Vol. 51, pp. 1855-1863, (2010).
[14] Ziabasharhagh, M., and Mahmoodi, M., "Analysis and Optimization of Beta-type Stirling Engine Taking into Account the Non-ideal Regenerator Thermal and Hydraulic Losses Effects", Modares Mechanical Engineering, Vol. 12, pp. 45-57, (2011).
[15] Hachem, H., Gheith, R., Aloui, F., and Ben Nasrallah, S., "Numerical Characterization of a γ-Stirling Engine Considering Losses and Interaction between Functioning Parameters", Energy, Vol. 96, pp. 532–543, (2015).
[16] Mabrouk, M.T., Kheiri, A., and Feidt, M., "Effect of Leakage Losses on the Performance of a β Type Stirling Engine", Energy, Vol. 88, pp. 111–117, (2015).
[17] Araoz, J., Salomon, M., Alejo, L., and Fransson, T.H., "Numerical Simulation for the Design Analysis of Kinematic Stirling Engines", Applied Energy, Vol. 159, pp. 633–650, (2015).
[18] Organ, A.J., "The Regenerator and the Stirling Engine", Mechanical Engineering Publications, London, (1997).
[19] Kays, W.M., and London, A.L., "Compact Heat Exchangers", McGraw-Hill, (1964).
[20] Abdullah, S., Yousif, B.F., and Sopian, K., "Design Consideration of Low Temperature Differential Double-acting Stirling Engine for Solar Application", Renew Energy, Vol. 30, pp. 1923–1941, (2005).
[21] Martini, W.R., "Stirling Engine Design Manual", NASA CR-168088, (1983).
[22] Einar, B.Q, "An Analytical Model of Stirling Type Engines", Ph.D. Thesis, M.I.T, (1967).