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Research Papers: Gas Turbines: Turbomachinery

Defining the Thermodynamic Efficiency in a Wave Rotor

[+] Author and Article Information
Shining Chan

School of Aerospace Engineering,
Xiamen University,
South Siming Road 422,
Xiamen 361005, China
e-mail: chansn2007@163.com

Huoxing Liu

National Key Laboratory of Science
and Technology on Aero-Engine
Aero-Thermodynamics,
School of Energy and Power Engineering,
Beihang University,
XueYuan Road, No. 37,
Haidian District,
Beijing 100191, China
e-mail: liuhuoxing@buaa.edu.cn

Fei Xing

School of Aerospace Engineering,
Xiamen University,
South Siming Road 422,
Xiamen 361005, China
e-mail: f.xing@xmu.edu.cn

Contributed by the Turbomachinery Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received April 23, 2015; final manuscript received April 26, 2016; published online May 24, 2016. Assoc. Editor: Rakesh K. Bhargava.

J. Eng. Gas Turbines Power 138(11), 112601 (May 24, 2016) (12 pages) Paper No: GTP-15-1140; doi: 10.1115/1.4033508 History: Received April 23, 2015; Revised April 26, 2016

A wave rotor enhances the performance of a gas turbine with its internal compression and expansion, yet the thermodynamic efficiency estimation has been troubling because the efficiency definition is unclear. This paper put forward three new thermodynamic efficiency definitions to overcome the trouble: the adiabatic efficiency, the weighted-pressure mixed efficiency, and the pressure pre-equilibrated efficiency. They were all derived from multistream control volumes. As a consequence, they could correct the efficiency values and make the values for compression and expansion independent. Moreover, the latter two incorporated new models of pre-equilibration inside a control volume, and modified the hypothetical “ideal” thermodynamic processes. Parametric analyses based on practical wave rotor data demonstrated that the trends of those efficiency values reflected the energy losses in wave rotors. Essentially, different thermodynamic efficiency definitions indicated different ideal thermal cycle that an optimal wave rotor can provide for a gas turbine, and they were recommended to application based on that essence.

Copyright © 2016 by ASME
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References

Figures

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Fig. 5

Schematic circumferential temperature distributions in the outlet ports (a) port 2 and (b) port 4

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Fig. 6

Control volumes of compression and expansion in a wave rotor

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Fig. 4

Schematic temperature-entropy diagram of the multiple streams. The temperature and the pressure symbols refer to stagnation parameters. The entropy symbol refers to specific entropy per unit mass.

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Fig. 3

Schematic flow patterns in a wave rotor. The numbers are labels of flow field regions, and accord with the states in Fig. 4.

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Fig. 2

Schematic diagram of a gas turbine engine topped with a wave rotor

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Fig. 1

Schematic configuration of a wave rotor

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Fig. 10

Schematic of weighted-pressure mixed compression process (a) thermodynamic paths and (b) conceptual system to conduct the process

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Fig. 7

Adiabatic efficiencies versus the pressure parameters

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Fig. 8

Two equivalent temperature distributions in port 2. The blue line: variant temperatures; the green line: uniform temperature (see online figure for color).

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Fig. 9

Comparison between equilibration before and after compression

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Fig. 11

Illustrating the ideal processes in the pre-equilibrated efficiency definitions (a) compression and (b) expansion

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Fig. 12

Schematic of pressure pre-equilibrated compression process (a) thermodynamic paths and (b) conceptual system to conduct the process

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Fig. 13

Ratio of pre-equilibrated efficiencies to adiabatic efficiency (a) compression and (b) expansion

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Fig. 14

Schematic temperature-entropy diagram of the idealized thermal cycles of wave-rotor-topped gas turbine engines. The dashed line represents an isobar. The full lines represent thermodynamic processes. The green lines represent processes inside the compression control volume. The orange lines represent processes inside the expansion control volume (see online figure for color). (a) Common wave rotor and (b) alternative wave rotor.

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Fig. 15

Schematic pressure-volume diagram of the idealized thermal cycles of wave-rotor-topped gas turbine engines. The dashed line represents an isobar. The full lines represent thermodynamic processes. The green lines represent processes inside the compression control volume. The orange lines represent processes inside the expansion control volume (see online figure for color). (a) Common wave rotor and (b) alternative wave rotor.

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