Investigación

 

Ecological performance optimization of a thermoacoustic heat engine

 

Lingen Chen^a,*, Xuxian Kan^a,b, Fengrui Sunª, Feng Wu^a,b, and Fangzhong Guo^c

 

ª Postgraduate School, Naval University of Engineering, Wuhan 430033, P.R. China.

^b School of Science, Wuhan Institute of Technology, Wuhan 430073, P.R. China.

^c School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, P.R. China.

 

*To whom all correspondence
should be addressed;
Fax: 0086–27–83638709
Tel: 0086–27–83615046,
e–mail address: lgchenna@yahoo.com,
lingenchen@hotmail.com

 

Recibido el 23 de febrero de 2010
Aceptado el 29 de julio de 2010

 

Abstract

Ecological performance optimization of a generalized irreversible thermoacoustic heat engine with heat resistance, heat leakage, thermal relaxation and internal dissipation, in which heat transfer between the working fluid and heat reservoirs obeys a complex generalized heat transfer law Q Δ (T)ⁿ –where n is a complex–, is investigated in this paper. Both the real part and the imaginary part of the complex heat transfer exponent change the optimal ecological function versus efficiency relationship, quantitatively. The analytical formulas about the ecological function and thermal efficiency of the thermoacoustic heat engine are derived. Furthermore, the comparative analysis of the influences of various factors on optimal performance of the generalized irreversible thermoacoustic heat engine is carried out by detailed numerical examples. The optimal zone on the performance of the thermoacoustic heat engine is obtained by numerical analysis. The results obtained herein can provide some theoretical guidelines for the design of real thermoacoustic engines.

Keywords: Thermoacoustic heat engine; complex heat transfer exponent; ecological optimization; finite–time thermodynamics.

 

Resumen

En este artículo se investigan la optimización del desempeño ecológico de un motor termoacístico irreversible generalizado con resistencia térmica, fugas de calor, relajación térmica y disipación interna, en el que la transferencia de calor entre el fluido de trabajo y el reservorio (recipiente) de calor obedece a una ley de transferencia de calor compleja generalizada [], donde n es complejo. La parte imaginaria y la parte real del exponente complejo de la transferencia de calor cambian cuantitativamente a la función ecológica óptima vs la relación de eficiencia. Se obtienen las fórmulas analíticas de la función ecológica y la eficiencia térmica del motor termoacústico. Asimismo, se hace un análisis comparativo de la influencia de varios factores cuando el desempeño del motor termoacústico irreversible generalizado es óptimo con ejemplos numéricos detallados. Se obtiene la zona óptima del desempeño del motor termoacústico por análisis numérico. Los resultados obtenidos proveen guías teóricas para el diseño de motores termoacústicos.

Descriptores: Motor térmico termoacústico; exponente complejo de transferencia de calor; optimización ecológica; termodinámica de tiempo finito.

 

PACS: 05.70.Ln; 07.20.Pe; 05.07.–a

 

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Acknowledgements

This paper is supported by The National Natural Science Fund of P. R. China (Project No.50676068), the Program for New Century Excellent Talents in University of P.R. China (Project No. NCET–04–1006), Hubei provincial department of education, P.R. China (project No. D200615002) and the Foundation for the Author of National Excellent Doctoral Dissertation of P. R. China (Project No. 200136). The authors wish to thank the reviewers for their careful, unbiased and constructive suggestions, which led to this revised manuscript.

 

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