Acoustic characteristics of bi-directional turbines for thermoacoustic generators

Abstract

Bi-directional turbines combined with rotary motors may be a feasible option for developing high power thermoacoustic generators with low cost. A general expression for the acoustic characteristics of the bi-directional turbine was proposed based on theoretical derivation, which was validated by computational fluid dynamics modeling of an impulse turbine with fixed guide vanes. The structure of the turbine was optimized primarily using steady flow with an efficiency of near 70% (the shaft power divided by the total energy consumed by the turbine). The turbine in the oscillating flow was treated in a lumped-parameter model to extract the acoustic impedance characteristics from the simulation results. The key acoustic impedance characteristic of the turbine was the resistance and inertance due to complex flow condition in the turbine, whereas the capacitance was treated as an adiabatic case because of the large-scale flow channel relative to the heat penetration depth. Correlations for the impedance were obtained from both theoretical predictions and numerical fittings. The good fit of the correlations shows that these characteristics are valid for describing the bi-directional turbine, providing the basis for optimization of the coupling between the thermoacoustic engine and the turbine using quasi-one-dimensional theory in the frequency domain.

Graphical abstract

Keywords

thermoacoustic power generator / acoustic characteristics / bi-directional impulse turbine / energy conversion

References

[1] Dai W, Yu G, Zhu S, Luo E. 300 Hz thermoacoustically driven pulse tube cooler for temperature below 100 K. Applied Physics Letters, 2007, 90(2): 024104

[2] Zhang L M, Hu J Y, Wu Z H, Luo E C, Xu J Y, Bi T J. A 1 kW-class multi-stage heat-driven thermoacoustic cryocooler system operating at liquefied natural gas temperature range. Applied Physics Letters, 2015, 107(3): 033905

[3] Backhaus S, Tward E, Petach M. Traveling-wave thermoacoustic electric generator. Applied Physics Letters, 2004, 85(6):1085–1087

[4] Wu Z, Zhang L, Dai W, Luo E. Investigation on a 1 kW traveling-wave thermoacoustic electrical generator. Applied Energy, 2014, 124(1): 140–147

[5] Bi T, Wu Z, Zhang L, Yu G, Luo E, Dai W. Development of a 5 kW traveling-wave thermoacoustic electric generator. Applied Energy, 2017, 185(2): 1355–1361

[6] Jin T, Huang J L, Feng Y, Yang R, Tang K, Radebaugh R. Thermoacoustic prime movers and refrigerators: thermally powered engines without moving components. Energy, 2015, 93(2): 828–853

[7] Hamood A, Jaworski A J, Mao X. Development and assessment of two-stage thermoacoustic electricity generator. Energies, 2019, 12(9): 1790

[8] Yu G, Wang X, Dai W, Luo E. Study on energy conversion characteristics of a high frequency standing-wave thermoacoustic heat engine. Applied Energy, 2013, 111: 1147–1151

[9] Timmer M A G, de Blok K, van der Meer T H. Review on the conversion of thermoacoustic power into electricity. Journal of the Acoustical Society of America, 2018, 143(2): 841–857

[10] Castrejón-Pita A A, Huelsz G. Heat-to-electricity thermoacoustic-magnetohydrodynamic conversion. Applied Physics Letters, 2006, 90(17): 174110

[11] Jensen C, Raspet R. Thermoacoustic power conversion using a piezoelectric transducer. Journal of the Acoustical Society of America, 2010, 128(1): 98–103

[12] Smoker J, Nouh M, Aldraihem O, Baz A. Energy harvesting from a standing wave thermoacoustic-piezoelectric resonator. Journal of Applied Physics, 2012, 111(10): 104901

[13] Luo K, Sun D M, Zhang J, Zhang N, Wang K, Xu Y, Zou J. Operating characteristics of crank-rod transducers used in thermoacoustic power generation. Journal of Zhejiang University (Engineering Science), 2017, 51(8): 1619–1625 (in Chinese)

[14] Luo K, Zhang N, Zhang J, Sun D M, Wang K, Xu Y, Zou J. Study on impedance characteristics of crank-rod transducer used in thermoacoustic power generation system. Journal of Engineering Thermophysics, 2017, 38(11): 11–17 (in Chinese)

[15] Falcão A F, Henriques J C. Oscillating-water-column wave energy converters and air turbines: a review. Renewable Energy, 2016, 85: 1391–1424

[16] Aderinto T, Li H. Ocean wave energy converters: status and challenges. Energies, 2018, 11(5): 1250

[17] Luo Y, Presas A, Wang Z. Numerical analysis of the influence of design parameters on the efficiency of an OWC axial impulse turbine for wave energy conversion. Energies, 2019, 12(5): 939

[18] Clark J P, Ward W C, Swift G W. Design environment for low-amplitude thermoacoustic energy conversion (DeltaEC). Journal of the Acoustical Society of America, 2007, 122(5): 3014

[19] Kees D, Pawel O, Maurice X. Bi-directional turbines for converting acoustic wave power into electricity. In: Proceedings of the 9th PAMIR International Conference. Riga, LV, USA, 2014

[20] Kaneuchi K, Nishimura K. Evaluation of bi-directional turbines using the two-sensor method. In: Proceedings of the 3rd International Workshop on Thermoacoustics. Enschede, the Netherlands, 2015

[21] Zwikker C, Kosten C. Sound Absorbing Materials. New York: Elsevier Publisher, 1949

[22] Swift G W, Garrett S L. Thermoacoustics: a unifying perspective for some engines and refrigerators. Journal of the Acoustical Society of America, 2003, 113(5): 2379–2381

[23] Arnott W P, Bass H E, Raspet R. General formulation of thermoacoustics for stacks having arbitrarily shaped pore cross sections. Journal of the Acoustical Society of America, 1991, 90(6): 3228–3237

[24] Chen Y Y, Luo E C, Dai W, Weisend J G, Barclay J, Breon S, Demko J, DiPirro M, Kelley J P, Kittel P, Klebaner A, Zeller A, Zagarola M, Van Sciver S, Rowe A, Pfotenhauer J, Peterson T, Lock J. New model and measurement principle of flowing and heat transfer characteristics of regenerator. AIP Conference Proceedings, 2008, 985: 251–258

[25] Ma D. General theory and design of microperforated-panel absorbers. Journal of Functional Materials, 1997, 28(5):385–393

[26] Thakker A, Frawley P, Khaleeqk H, Abugihalia Y. Experimental and CFD analysis of 0.6 m impulse turbine with fixed guide vanes. In: Proceedings of the 11th International Offshore and Polar Engineering Conference. Stavanger, Norway, 2001, 625–629

[27] Iguchi M, Ohmi M, Maegawa K. Analysis of free oscillating flow in a U-shaped tube. Bulletin of the JSME—Japan Society of Mechanical Engineers, 1982, 25(207): 1398–1405

[28] Yang P, Chen H, Liu Y. Numerical investigation on nonlinear effect and vortex formation of oscillatory flow throughout a short tube in a thermoacoustic Stirling engine. Journal of Applied Physics, 2017, 121(21): 214902

[29] Liu D D, Chen Y Y, Dai W, Luo E C. Design and numeric simulation of a thermoacoustic bi-directional turbine test rig. In: Proceedings of the ASME Turbo Expo: Turbomachinery Technical Conference and Exposition. Phoenix, AZ, USA, 2019, V02CT41A039

Acknowledgements

This work was supported by the National Key Research and Development Program of China (Grant No. 2016YFB-0901403), and the National Natural Science Foundation of China (Grant No. 51606208).

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