Stack is the most important component in the thermoacoustic engine for it directly affects the efficiency. For standing-wave thermoacoustic refrigerator, a numerical algorithm for the coefficient of performance of stack and an optimal design method of stack are presented, respectively. Considering the limits of the short-stack approximation method for stack, we an iterative algorithm for coefficient of performance of stack is constructed, by which the total power together with pressure, volume flow rate, average temperature function and gradient of temperature can be obtained at the same time. Based on the presented numerical method, the effects of length, width, position, block ratio and temperature difference on the coefficient of performance of stack are investigated. Then, choosing length, width, position and block ratio of stack as the design variables and coefficient of performance as the optimization objective, the thermoacoustic stack is optimized by using the genetic algorithm. Compared with the short-stack approximation method, the numerical method presented in the work is more accurate and the optimized results are more acceptable since some practical factors are taken in account.
JIN Chengming
,
PENG Yehui
,
LIU Deshun
. Numerical Computation of the Coefficient of Performance and Optimal Design of the Stack in Thermoacoustic Refrigerators[J]. Journal of Mechanical Engineering, 2017
, 53(20)
: 145
-152
.
DOI: 10.3901/JME.2017.20.145
[1] SWIFT G W. Thermoacoustics:A unifying perspective for some engines and refrigerators[M]. Melville, NY:Acoustical Society of America, 2002.
[2] SWIFT G W. Thermoacoustic engines[J]. The Journal of the Acoustical Society of America, 1988, 84:1146-1180.
[3] 周远, 罗二仓. 热声热机技术的研究进展[J]. 机械工程学报, 2009, 45(3):14-26. ZHOU Yuan, LUO Ercang. Advance in thermoacoustic technology[J]. Journal of Mechanical Engineering, 2009, 45(3):14-26.
[4] HADI B, KAMRAN S. Design and optimization of thermoacoustic devices[J]. Energy Conversion and Management, 2008, 49:3585-3598.
[5] TIJANI M E H, ZEEGERS J, de WAELE A. Design of thermoacoustic refrigerators[J]. Cryogenics, 2002, 42:49-57.
[6] TIJANI M E H, ZEEGERS J, de WAELE A. The optimal stack spacing for thermoacoustic refrigeration[J]. The Journal of the Acoustical Society of America, 2002, 12:128-133.
[7] ANDREW C T, FLORIAN Z, OLEG A P, et al. Thermoacoustic heat engine modeling and design optimization[J]. Applied Thermal Engineering, 2011, 31:2518-2528.
[8] ZOLPAKAR N A, GHAZALI N M, AHMAD R. Simultaneous optimization of four parameters in stack unit of a thermoacoustic refrigerator[J]. International Journal of Air-Conditioning and Refrigeration, 2014, 22(2):1450011-1450016.
[9] ZOLPAKAR N A, GHAZALI N M, AHMAD R. Experimental investigations of the performance of a standing wave thermoacoustic refrigerator based on multi-objective genetic algorithm optimized parameters[J]. Applied Thermal Engineering, 2016,100:296-303.
[10] WHEATLEY J C, HOFLER T, SWIFT G W, et al. Understanding some simple phenomena in thermoacoustic with applications to acoustical heat engines[J]. American Journal of Physics,1985, 53:147-162.
[11] HARIHARAN N M, SIVASHANMUGAM P, KASTHURIRENGAN S. Influence of stack geometry and resonator length on the performance of thermoacoustic engine[J]. Applied Acoustics, 2012, 73:1052-1058.
